Tootfinder

Lattice Boltzmann Boundary Conditions for Flow, Convection-Diffusion and MHD Simulations
Jun Li, Wai Hong Ronald Chan, Zhe Feng, Chenglei Wang
https://arxiv.org/abs/2506.00907

Lattice Boltzmann Boundary Conditions for Flow, Convection-Diffusion and MHD Simulations
A general derivation is proposed for several boundary conditions arisen in the lattice Boltzmann simulations of various physical problems. Pair-wise moment-conservations are proposed to enforce the boundary conditions with given macroscopic quantities, including the velocity and pressure boundary conditions in flow simulations, a given concentration in convection-diffusion (CD) simulations, as well as specified magnetic field components in magnetohydrodynamical (MHD) simulations. Additionally, …

This https://arxiv.org/abs/2505.19636 has been replaced.
initial toot: https://mastoxiv.page/@a…

Longitudinal magnetoconductivity in chiral multifold semimetals exemplified by pseudospin-1 nodal points
We embark on computing the longitudinal magnetoconductivity within the semiclassical Boltzmann formalism, where an isotropic triple-point semimetal (TSM) is subjected to collinear electric ($\boldsymbol E $) and magnetic ($\boldsymbol B$) fields. Except for the Drude part, the $B$-dependence arises exclusively from topological properties like the Berry curvature and the orbital magnetic moment. We solve the Boltzmann equations exactly in the linear-response regime, applicable in the limit of we…

A Method for Analytical Solutions in the Lattice Boltzmann Method
Jordan Larson, Alexander J. Wagner
https://arxiv.org/abs/2505.24170 https://

A Method for Analytical Solutions in the Lattice Boltzmann Method
Analytical solutions to the lattice Boltzmann Equation make it possible to study the method itself, explore the properties of its collision operator, and identify implementations of boundary conditions. In this paper, we propose a method to find analytical solutions where the macroscopic flow profile is known. We test this method on bulk Couette flow aligned and inclined to the simulation lattice with the quadratic and entropic equilibrium distributions. Our method indeed provides an analytical…

This https://arxiv.org/abs/2501.08715 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Compressible Navier-Stokes system with slip boundary from Boltzmann equations with reflection boundary: derivations and justifications
This is the first in a series of papers connecting the boundary conditions for the compressible Navier-Stokes system from the Boltzmann equations with the Maxwell reflection boundary. The slip boundary conditions are formally derived from the Boltzmann equation with both specular and almost specular reflection boundary conditions. That is, the accommodation coefficient $α_\eps=O(\eps^β)$ with $β>0$ or $α_\eps =0$. Here, the small number $\eps>0$ denotes the Knudsen number. The systematic fo…

An em algorithm for quantum Boltzmann machines
Takeshi Kimura, Kohtaro Kato, Masahito Hayashi
https://arxiv.org/abs/2507.21569 https://arxiv.org/pdf/2507.2…

An em algorithm for quantum Boltzmann machines
We develop a quantum version of the em algorithm for training quantum Boltzmann machines. The em algorithm is an information-geometric extension of the well-known expectation-maximization (EM) algorithm, offering a structured alternative to gradient-based methods with potential advantages in stability and convergence. We implement the algorithm on a semi-quantum restricted Boltzmann machine, where quantum effects are confined to the hidden layer. This structure enables analytical update rules w…

Rapid and accurate numerical evolution of linear cosmological perturbations with non-cold relics
Nanoom Lee, Jos\'e Luis Bernal, Sven G\"unther, Lingyuan Ji, Marc Kamionkowski
https://arxiv.org/abs/2506.01956

Rapid and accurate numerical evolution of linear cosmological perturbations with non-cold relics
We describe the implementation of a new approach to the numerical evaluation of the effects of non-cold relics on the evolution of cosmological perturbations. The Boltzmann hierarchies used to compute the contributions of these relics to the stress-energy tensor are replaced with a set of integral equations. These integral equations take the form of convolutions and are solved iteratively with the rest of the system. We develop efficient algorithms for evaluating these convolutions using non-un…

A General Approach to the Shape Transition of Run-and-Tumble Particles: The 1D PDMP Framework for Invariant Measure Regularity
Leo Hahn
https://arxiv.org/abs/2506.02274

A General Approach to the Shape Transition of Run-and-Tumble Particles: The 1D PDMP Framework for Invariant Measure Regularity
Run-and-tumble particles (RTPs) have emerged as a paradigmatic example for studying nonequilibrium phenomena in statistical mechanics. The invariant measure of a wide class of RTPs subjected to a potential possesses a density, which is continuous when tumble rates are high and discontinuous when they are low. This key feature is known as shape transition. By comparison with the Boltzmann distribution characteristic of thermodynamic equilibrium, this constitutes a qualitative indicator of the re…

Random Flights and Anomalous Diffusion: A Non-Markovian Take on Lorentz Processes
Lorenzo Facciaroni, Costantino Ricciuti, Enrico Scalas, Bruno Toaldo
https://arxiv.org/abs/2507.02796

Random Flights and Anomalous Diffusion: A Non-Markovian Take on Lorentz Processes
We study Lorentz processes in two different settings. Both cases are characterized by infinite expectation of the free-flight times, contrary to what happens in the classical Gallavotti-Spohn models. Under a suitable Boltzmann-Grad type scaling limit, they converge to non-Markovian random-flight processes with superdiffusive behavior. A further scaling limit yields another non Markovian process, i.e., a superdiffusion obtained by a suitable time-change of Brownian motion. Furthermore, we obtain…

Helicons in tilted-Weyl semimetals
Shiv Kumar Ram, Amit Gupta
https://arxiv.org/abs/2507.02816 https://arxiv.org/pdf/2507.02816

Helicons in tilted-Weyl semimetals
Helicons are transverse electromagnetic modes in three-dimensional (3D) electron systems in the presence of a static magnetic field. These modes have been proposed in isotropic or single Weyl semimetals(WSMs) (Francesco M.D. Pellegrino et al, Phys.\ Rev.\ B {\bf 92}, 201407(R) (2015)). In this work, we introduce a tilt term to investigate helicon modes in gapless WSMs within a semiclassical Boltzmann approach and show that the helicon modes exist in tilted WSMs.

Efficient numerical methods for the uncertain Boltzmann equation based on a hybrid solver
Yiwen Lin, Liu Liu
https://arxiv.org/abs/2507.20316 https://arxiv…

Efficient numerical methods for the uncertain Boltzmann equation based on a hybrid solver
In this work, we propose and compare several approaches to solve the Boltzmann equation with uncertain parameters, including multi-level Monte Carlo and multi-fidelity methods that employ an asymptotic-preserving-hybrid (APH) scheme (Filbet and Rey, 2015) for the deterministic Boltzmann model. By constructing a hierarchy of models from finer to coarser meshes in phase space for the APH scheme and adopting variance reduction techniques, the MLMC method is able to allocate computational resources…

Boltzmann-Informed Probabilities
Yair Neuman, Yochai Cohen
https://arxiv.org/abs/2505.21543 https://arxiv.org/pdf/2505.21543

Boltzmann-Informed Probabilities
Traditional interpretations of probability, whether frequentist or subjective, make no reference to the concept of energy. In this paper, we propose that assigning hypothetical energy levels to the outcomes of a random variable can yield improved probability estimates. We apply this Boltzmann-informed approach to the context of sports betting and analyze five seasons of the English Premier League data. It was found that when used to compute the Kelly criterion, Boltzmann-informed probabilities …

On Boltzmann Averaging in Ab Initio Thermodynamics
Hendrik H. Heenen, Karsten Reuter
https://arxiv.org/abs/2506.23229 https://arxiv.o…

On Boltzmann Averaging in Ab Initio Thermodynamics
Ab initio thermodynamics is a widespread, computationally efficient approach to predict the stable configuration of a surface in contact with a surrounding (gas or liquid) environment. In a prevalent realization of this approach, this stable configuration is simply equated with the structure in a considered candidate pool that exhibits the lowest surface free energy. Here we discuss the possibility to consider the thermal accessibility of competing, higher-energy configurations through Boltzman…

Effectiveness of parton cascade in solving the relativistic Boltzmann equation in a box
Todd Mendenhall, Zi-Wei Lin
https://arxiv.org/abs/2507.23107 https://

Effectiveness of parton cascade in solving the relativistic Boltzmann equation in a box
We benchmark the ZPC parton cascade with an exact analytical solution of the relativistic Boltzmann equation for a homogeneous and massless gas with a constant and isotropic elastic cross section. We measure the accuracy of ZPC with the relative mean deviation between its momentum distribution and the exact solution. We use two generalized collision schemes to further improve the accuracy of ZPC over the recent $t$-minimum collision scheme. We find that ZPC can reproduce very well the time evol…

Practical Kinetic Models for Dense Fluids
Ilya Karlin, Seyed Ali Hosseini
https://arxiv.org/abs/2508.00577 https://arxiv.org/pdf/2508.00577

Practical Kinetic Models for Dense Fluids
Nonlinear idempotent operator instead of a linear projection is introduced to derive kinetic models for dense fluids. A new lattice Boltzmann model for compressible two-phase flow is derived based on the Enskog--Vlasov kinetic equation as an example of practical importance.

The half-space problem of evaporation and condensation for polyatomic gases and entropy inequalities
Niclas Bernhoff, Stephane Brull, Eddie Wadbro
https://arxiv.org/abs/2507.01647

The half-space problem of evaporation and condensation for polyatomic gases and entropy inequalities
This study investigates the steady Boltzmann equation in one spatial variable for a polyatomic single-component gas in a half-space. Inflow boundary conditions are assumed at the half-space boundary, where particles entering the half-space are distributed as a Maxwellian, an equilibrium distribution characterized by macroscopic parameters of the boundary. At the far end, the gas tends to an equilibrium distribution, which is also Maxwellian. Using conservation laws and an entropy inequality, we…

Equilibrium distribution of the liquid phase in an unsaturated granular material
Lazar Loredana, Clavaud C\'ecile, Amon Axelle
https://arxiv.org/abs/2507.00751

Equilibrium distribution of the liquid phase in an unsaturated granular material
In an unsaturated granular material, the spatial distribution of the liquid phase results from the competition between gravity and capillary forces. We show that, in the funicular regime, it can be described by a Boltzmann law, with static disorder playing the role of thermal agitation. We propose an approach based on a Langevin equation to derive this distribution, and compare our predictions with conductivity measurements giving the local water content as a function of height in a wet granula…

Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
Gautham Varma K, Mohd. Hashim Raza, Azaz Ahmad
https://arxiv.org/abs/2508.00821 http…

Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
Recent studies have shown that chiral anomaly is not limited to WSMs, but are also shown by a larger class of materials called spin orbit coupled noncentrosymmetric metals (SOC-NCMs),which has shed more insight into the origin of chiral anomaly as a Fermi surface property rather than a nodal property. In this study, we explore nonlinear transport responses in SOC-NCMswithin the framework of semiclassical dynamics, employing the Maxwell-Boltzmann transport theory augmented by charge conservation…

Mixed state concurrence for symmetric systems
S. H. Curnoe, D. Gajera, C. Wei
https://arxiv.org/abs/2505.24772 https://arxiv.org/pdf/…

Mixed state concurrence for symmetric systems
We present a method to quantify entanglement in mixed states of highly symmetric systems. Symmetry constrains interactions between parts and predicts the degeneracies of the states. While symmetry alone produces entangled eigenstates, the thermal mixed state (density) which contains all of the eigenstate densities weighted by their Boltzmann factors is not necessarily as entangled as the eigenstates themselves because generally the mixed state can be re-expressed as a sum over densities which a…

Neural Langevin Machine: a local asymmetric learning rule can be creative
Zhendong Yu, Weizhong Huang, Haiping Huang
https://arxiv.org/abs/2506.23546 https…

Neural Langevin Machine: a local asymmetric learning rule can be creative
Fixed points of recurrent neural networks can be leveraged to store and generate information. These fixed points can be captured by the Boltzmann-Gibbs measure, which leads to neural Langevin dynamics that can be used for sampling and learning a real dataset. We call this type of generative model neural Langevin machine, which is interpretable due to its analytic form of distribution and is simple to train. Moreover, the learning process is derived as a local asymmetric plasticity rule, bearing…

Higher-order Tuning of Interface Physics in Multiphase Lattice Boltzmann
Matteo Lulli, Emily S. C. Ching
https://arxiv.org/abs/2505.23647 https://

Higher-order Tuning of Interface Physics in Multiphase Lattice Boltzmann
Tuning the interface properties of multiphase models is of paramount importance to the final goal of achieving a one-to-one matching with nucleation and cavitation experiments. The surface tension, at the leading order, and the Tolman length, at higher order, play a crucial role in the estimation of the free-energy barrier determining the experimentally observed nucleation rates. The lattice Boltzmann method allows for a computationally efficient modelling approach of multiphase flows, however,…

Analytical solution for dynamic evaporation of liquid in isothermal condition
Luiz Eduardo Czelusniak, Tim Niklas Bingert, Stephan Simonis, Alexander J. Wagner, Mathias J. Krause
https://arxiv.org/abs/2506.02270

Analytical solution for dynamic evaporation of liquid in isothermal condition
An analytical solution based on a diffuse interface model is presented for an isothermal evaporation problem under sub-saturation pressure. The macroscopic equations are derived from the free-energy method, widely recognized in the lattice Boltzmann literature, distinguishing our approach from conventional evaporation models that rely on jump conditions or pure kinetic theory. The interface behavior is fully described by differential equations, eliminating the need for assumptions such as local…

Large-Scale Simulations of Turbulent Flows using Lattice Boltzmann Methods on Heterogeneous High Performance Computers
Adrian Kummerl\"ander, Fedor Bukreev, Yuji Shimojima, Shota Ito, Mathias J. Krause
https://arxiv.org/abs/2506.21804

Large-Scale Simulations of Turbulent Flows using Lattice Boltzmann Methods on Heterogeneous High Performance Computers
Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly parallel execution on both SIMD CPUs and GPUs. A novel LBM scheme for wall-modeled LES in complex geometries is described with a special focus on the efficient implementation in the open source LBM framework OpenLB. Detailed scalability results are provided for…

This https://arxiv.org/abs/2502.04160 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Lotka-Volterra-type kinetic equations for interacting species
In this work, we examine a kinetic framework for modeling the time evolution of size distribution densities of two populations governed by predator-prey interactions. The model builds upon the classical Boltzmann-type equations, where the dynamics arise from elementary binary interactions between the populations. The model uniquely incorporates a linear redistribution operator to quantify the birth rates in both populations, inspired by wealth redistribution operators. We prove that, under a su…

Thermodynamic properties of CrMnFeCoNi high entropy alloy at elevated electronic temperatures
Nikita Medvedev
https://arxiv.org/abs/2506.23171 https://

Thermodynamic properties of CrMnFeCoNi high entropy alloy at elevated electronic temperatures
The Cantor alloy (equiatomic CrMnFeCoNi) is a high-entropy alloy with unique physical properties and radiation resistance. To model its response to intense laser pulses, the parameters of the electronic ensemble are required. In this work, the electronic heat capacity, thermal conductivity, and electron-phonon coupling strength at elevated electronic temperatures are evaluated using a combined approach that incorporates tight-binding molecular dynamics and the Boltzmann equation. The damage thr…

A Bi-fidelity numerical method for velocity discretization of Boltzmann equations
Nicolas Crouseilles, Zhen Hao, Liu Liu
https://arxiv.org/abs/2507.19945 https://

A Bi-fidelity numerical method for velocity discretization of Boltzmann equations
In this paper, we introduce a bi-fidelity algorithm for velocity discretization of Boltzmann-type kinetic equations under multiple scales. The proposed method employs a simpler and computationally cheaper low-fidelity model to capture a small set of significant velocity points through the greedy approach, then evaluates the high-fidelity model only at these few velocity points and to reconstruct a bi-fidelity surrogate. This novel method integrates a simpler collision term of relaxation type in…

Transport Theory and Correlation Measurements: Coming to Terms on Emission Sources
Pierre Nzabahimana, Pawel Danielewicz, Giuseppe Verde
https://arxiv.org/abs/2506.01271

Transport Theory and Correlation Measurements: Coming to Terms on Emission Sources
Two-particle correlations play a pivotal role in understanding the space-time characteristics of particle emission in Heavy-ion collisions. These characteristics are typically represented by a relative emission source and can be obtained using transport model simulations such as the Boltzmann- Uehling-Uhlenbeck (BUU) transport model. In this paper, we utilize the BUU transport model to simulate the p-p source. Subsequently, we integrate this source and the p-p kernel within the KP formula to ca…

What the Boltzmann money game teaches us about statistical mechanics (and maybe economics)
Dmitrii E. Makarov
https://arxiv.org/abs/2507.22180 https://arxi…

What the Boltzmann money game teaches us about statistical mechanics (and maybe economics)
This note explains why a large class of fair, or reversible "money games", i.e., stochastic models of wealth redistribution among agents, lead to steady states described by canonical and microcanonical distributions. The games considered include, for example, ones where more than two agents can be simultaneously involved in money transfers (similarly to many-body collisions in chemical kinetics) and where amounts transferred between agents are random. At the same time, money games that break ti…

This https://arxiv.org/abs/2501.01965 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Linear inelastic kinetic equations modelling the spread of fake news and its interplay with personal awareness
In this paper, we introduce a kinetic model which describes a learning process leading individuals to build personal awareness about fake news. Next, we embed the results of this model into another kinetic model, which describes the popularity gained by news on social media conditioned to the reliability of the disseminated information. Both models are formulated in terms of linear inelastic Boltzmann-type equations, of which we investigate the main analytical properties - existence and uniquen…

Heute vor 68 Jahren: Am 28. Mai 1957 begann mit "Boltzmann" die Operation #Plumbbob, eine Serie von 29 nuklearen Tests in Nevada. Sie beinhaltete die höchsten Turmtests in den #USA, umfasste Luftabwehr und U-Boot-Abwehrköpfe sowie das größte

Higher-order thermal transport theory for phonon thermal transport in semiconductors using lattice dynamics calculations and the Boltzmann transport equation
Ankit Jain, Yagyank Srivastava, Amey G. Gokhale, Nidheesh Virakante, Hardik L. Kagdada
https://arxiv.org/abs/2505.23307

Higher-order thermal transport theory for phonon thermal transport in semiconductors using lattice dynamics calculations and the Boltzmann transport equation
The phonon thermal conductivity of semiconducting periodic solids can be obtained using the lattice dynamics calculations along with the Boltzmann transport equation and with input from density functional theory calculations. These calculations have resulted in an excellent agreement with experiments without requiring any fitting parameters. However, over the last decade, many material systems have been identified where the lowest level lattice dynamics theory, which is based on the relaxation …

Maximal parameter space of sterile neutrino dark matter with lepton asymmetries
Kensuke Akita, Koichi Hamaguchi, Maksym Ovchynnikov
https://arxiv.org/abs/2507.20659 https://

Maximal parameter space of sterile neutrino dark matter with lepton asymmetries
Large lepton flavor asymmetries with zero total lepton asymmetry could be generated in the Early Universe. They are loosely constrained by current observations, being washed out at MeV temperatures by neutrino oscillations. We show that such lepton flavor asymmetries open up a new parameter space for sterile neutrino dark matter, consistent with all observational bounds. To this end, we construct the semi-classical Boltzmann equation for sterile neutrinos applicable in the case of arbitrarily l…

Replaced article(s) found for cs.ET. https://arxiv.org/list/cs.ET/new
[1/1]:
- Implementing Large Quantum Boltzmann Machines as Generative AI Models for Dataset Balancing
Salvatore Sinno, Markus Bertl, Arati Sahoo, Bhavika Bhalgamiya, Thomas Gro{\ss}, Nicholas Chancellor

Boltzmann-Ginzburg-Landau theory for autochemotaxis of active rod-like particles
Shun Sakurai, Nariya Uchida
https://arxiv.org/abs/2506.18263 https://

Boltzmann-Ginzburg-Landau theory for autochemotaxis of active rod-like particles
We investigate the interplay between chemotaxis and alignment interactions in active rod-like particles, such as E. coli and Janus rods. Starting from a discrete model of self-propelled rods with chemotactic responses, we employ a Boltzmann-Ginzburg-Landau (BGL) approach to derive coarse-grained dynamical equations for the density, polar and nematic orientational order parameters, and the concentration field of the chemoattractant. We perform a linear stability analysis for fluctuations around …

Quantum Boltzmann Machines using Parallel Annealing for Medical Image Classification
Dani\"elle Schuman, Mark V. Seebode, Tobias Rohe, Maximilian Balthasar Mansky, Michael Schroedl-Baumann, Jonas Stein, Claudia Linnhoff-Popien, Florian Krellner
https://arxiv.org/abs/2507.14116

Quantum Boltzmann Machines using Parallel Annealing for Medical Image Classification
Exploiting the fact that samples drawn from a quantum annealer inherently follow a Boltzmann-like distribution, annealing-based Quantum Boltzmann Machines (QBMs) have gained increasing popularity in the quantum research community. While they harbor great promises for quantum speed-up, their usage currently stays a costly endeavor, as large amounts of QPU time are required to train them. This limits their applicability in the NISQ era. Following the idea of Noè et al. (2024), who tried to allev…

Non-Perturbative Solutions to the Vlasov-Boltzmann Equation for Weakly Ionized Plasmas
Joel Saucedo, Uday Lamba, Hasitha Mahabaduge
https://arxiv.org/abs/2507.10565

Non-Perturbative Solutions to the Vlasov-Boltzmann Equation for Weakly Ionized Plasmas
The electron energy distribution function (EEDF) in low-temperature plasmas exhibits features not fully captured by classical collisional models, particularly across the transition from kinetic to hydrodynamic regimes. This work attributes these phenomena to a dynamically broken scale invariance within the Vlasov-Boltzmann equation. By applying renormalization group (RG) techniques directly to the kinetic operator, we derive non-perturbative EEDF solutions valid across a range of collisionality…

Seeding neural network quantum states with tensor network states
Ryui Kaneko, Shimpei Goto
https://arxiv.org/abs/2506.23550 https://a…

Seeding neural network quantum states with tensor network states
We find an efficient approach to approximately convert matrix product states (MPSs) into restricted Boltzmann machine wave functions consisting of a multinomial hidden unit through a canonical polyadic (CP) decomposition of the MPSs. This method allows us to generate well-behaved initial neural network quantum states for quantum many-body ground-state calculations in polynomial time of the number of variational parameters and systematically shorten the distance between the initial states and th…

Improvement of Solid-Fluid Interaction Scheme in Lattice Boltzmann Immiscible Pseudopotential Models
Yizhong Chen, Zhibin Wang
https://arxiv.org/abs/2505.22256

Improvement of Solid-Fluid Interaction Scheme in Lattice Boltzmann Immiscible Pseudopotential Models
The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However, when modeling wettability phenomenon, existing solid-fluid interaction schemes exhibit persistent challenges in multi-component immiscible fluid systems, notably manifested through spurious velocity artifacts and unphysical mass-transfer boundary layers. This …

Disentangling Boltzmann brains, the time-asymmetry of memory, the H theorem, and the second law
David Wolpert, Carlo Rovelli, Jordan Scharnhorst
https://arxiv.org/abs/2507.10959

Disentangling Boltzmann brains, the time-asymmetry of memory, the H theorem, and the second law
Are you, with your perceptions, memories and observational data, a Boltzmann brain, i.e., a statistical fluctuation out of the thermal equilibrium of the universe? Arguments are given in the literature for and against taking this hypothesis seriously. Complicating these analyses have been the many subtle - and very often implicit - entanglements between related arguments that have been given for the past hypothesis, the second law, and even Bayesian inference of the reliability of experimental …

Non-Relativistic Anisotropic Magnetoresistance with Collinear and Non-Collinear Magnetic Order
Philipp Ritzinger, Ond\v{r}ej Sedl\'a\v{c}ek, Jakub \v{Z}elezn\'y, Karel V\'yborn\'y
https://arxiv.org/abs/2506.22115

Non-Relativistic Anisotropic Magnetoresistance with Collinear and Non-Collinear Magnetic Order
Anisotropic magnetoresistance (AMR) arises from symmetry lowering of the conductivity tensor induced by magnetic order. In simple ferromagnets, AMR is a relativistic effect, relying on spin-orbit interaction (SOC). Here, we demonstrate that a comparable symmetry lowering can also occur in a non-relativistic limit. Using tight-binding models, density functional theory calculations, and Boltzmann transport theory, we investigate systems with multiple magnetic sublattices, including both collinear…

Multi-GPU Acceleration of PALABOS Fluid Solver using C Standard Parallelism
Jonas Latt, Christophe Coreixas
https://arxiv.org/abs/2506.09242 https://

Multi-GPU Acceleration of PALABOS Fluid Solver using C++ Standard Parallelism
This article presents the principles, software architecture, and performance analysis of the GPU port of the lattice Boltzmann software library Palabos (J. Latt et al., "Palabos: Parallel lattice Boltzmann solver", Comput. Math. Appl. 81, 334-350, (2021)). A hybrid CPU-GPU execution model is adopted, in which numerical components are selectively assigned to either the CPU or the GPU, depending on considerations of performance or convenience. This design enables a progressive porting strategy, a…

Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
Jhih-Hong Lyu, Tai-Chia Lin
https://arxiv.org/abs/2506.20953 …

Asymptotic Analysis of Boundary Layer Solutions to Poisson-Boltzmann Type Equations in General Bounded Smooth Domains
We study the boundary layer solution to singular perturbation problems involving Poisson-Boltzmann (PB) type equations with a small parameter $ε$ in general bounded smooth domains (including multiply connected domains) under the Robin boundary condition. The PB type equations include the classical PB, modified PB and charge-conserving PB (CCPB) equations, which are mathematical models for the electric potential and ion distributions. The CCPB equations present particular analytical challenges …

Replaced article(s) found for cond-mat.quant-gas. https://arxiv.org/list/cond-mat.quant-gas/new
[1/1]:
- Dynamical Dipolar Condensate Finite Temperature Stochastic Gross--Pitaevskii--Boltzmann Model
Nick P. Proukakis, Gerasimos Rigopoulos, Alex Soto

Restricted Boltzmann machine as a probabilistic Enigma
Bin Chen, Weichao Yu
https://arxiv.org/abs/2507.17236 https://arxiv.org/pdf/2507.17236

Restricted Boltzmann machine as a probabilistic Enigma
We theoretically propose a symmetric encryption scheme based on Restricted Boltzmann Machines that functions as a probabilistic Enigma device, encoding information in the marginal distributions of visible states while utilizing bias permutations as cryptographic keys. Theoretical analysis reveals significant advantages including factorial key space growth through permutation matrices, excellent diffusion properties, and computational complexity rooted in sharp P-complete problems that resist qu…

The vertical structure of the stellar disk in NGC 551
Harshal Raut, Narendra Nath Patra, Prerana Biswas, Nirupam Roy, Veselina Kalinova, Sergio Dzib, Dario Colombo, Vicente Villanueva, Sebasti\'an F. S\'anchez
https://arxiv.org/abs/2506.19551

The vertical structure of the stellar disk in NGC 551
We self-consistently determine the 3D density distribution of NGC 551's stellar disk and study observational signatures of two-component stellar disks. Assuming baryonic disks are in hydrostatic equilibrium, we solved the Poisson-Boltzmann equation to estimate 3D density distribution. We used integral-field spectroscopic observations to estimate stellar velocity dispersion and built a 3D dynamical model using these density solutions and the observed rotation curve. We generated simulated surfac…

This https://arxiv.org/abs/2409.07993 has been replaced.
initial toot: https://mastoxiv.page/@a…

Role of Disorder in Third-order Anomalous Hall Effect in Time-reversal Symmetric Systems
The third-order anomalous Hall effect (TOAHE) driven by Berry connection polarizability in Dirac materials offers a promising avenue for exploring quantum geometric phenomena. We investigate the role of impurity scattering on TOAHE using the semiclassical Boltzmann framework, via a comparison of the intrinsic contributions (stemming from the Berry connection polarizability) with the extrinsic contributions caused by the disorder. To validate our theoretical findings, we employ a generalized two…

Interface crossing behavior of prolate microswimmers: thermo and hydrodynamics
Rishish Mishra, Harish Pothukuchi, Harinadha Gidituri, Juho Lintuvuori
https://arxiv.org/abs/2507.23708

Interface crossing behavior of prolate microswimmers: thermo and hydrodynamics
Motivated by recent experiments of motile bacteria crossing liquid-liquid interfaces of isotropic- nematic coexistence (Cheon et al., Soft Matter 20: 7313-7320, 2024), we study the dynamics of prolate microswimmers traversing clean liquid-liquid interfaces. Using large-scale lattice Boltzmann simulations, we observe that neutrally wetting swimmers can be either trapped or cross the in- terface, depending on their initial angle, swimming speed and the interfacial tension between the two fluids. …

A Statistical Physics perspective on fairness in shared expenses: The bar bill analogy
Nuno Crokidakis, Lucas Sigaud
https://arxiv.org/abs/2507.23542 https://

A Statistical Physics perspective on fairness in shared expenses: The bar bill analogy
In social contexts where individuals consume varying amounts, such as shared meals or bar gatherings, splitting the total bill equally often yields surprisingly fair outcomes. In this work, we develop a statistical physics framework to explain this emergent fairness by modeling individual consumption as stochastic variables drawn from a realistic distribution, specifically the gamma distribution. Introducing a Boltzmann-like weighting factor, we derive exact analytical expressions for the parti…

On the completeness of the $\delta_{KLS}$-generalized statistical field theory
P. R. S. Carvalho
https://arxiv.org/abs/2506.05537 https://

On the completeness of the $δ_{KLS}$-generalized statistical field theory
In this work we introduce a field-theoretic tool that enable us to evaluate the critical exponents of $δ_{KLS}$-generalized systems undergoing continuous phase transitions, namely $δ_{KLS}$-generalized statistical field theory. It generalizes the standard Boltzmann-Gibbs through the introduction of the $δ_{KLS}$ parameter from which Boltzmann-Gibbs statistics is recovered in the limit $δ_{KLS}\rightarrow 0$. From the results for the critical exponents we provide the referred physical interp…

JAX-LaB: A High-Performance, Differentiable, Lattice Boltzmann Library for Modeling Multiphase Fluid Dynamics in Geosciences and Engineering
Piyush Pradhan, Pierre Gentine, Shaina Kelly
https://arxiv.org/abs/2506.17713

JAX-LaB: A High-Performance, Differentiable, Lattice Boltzmann Library for Modeling Multiphase Fluid Dynamics in Geosciences and Engineering
We present JAX-LaB, a differentiable, Python-based Lattice Boltzmann library for simulating multiphase and multiphysics flows in hydrologic, geologic, and engineered porous media. Built as an extension of the XLB library, JAX-LaB utilizes JAX for computations and offers a performant, hardware-agnostic implementation that integrates seamlessly with machine learning workflows and scales efficiently across CPUs, GPUs, and distributed systems. Multiphase interactions are modeled using the Shan-Chen…

Mono and Polyauxic Growth Kinetic Models
Gustavo Mockaitis
https://arxiv.org/abs/2507.05960 https://arxiv.org/pdf/2507.05960

Mono and Polyauxic Growth Kinetic Models
Accurate modeling of microbial growth curves is essential for understanding and optimizing bioprocesses in biotechnology and environmental engineering. While classical monoauxic models such as Monod, Boltzmann, and Gompertz are widely used, they often lack biological interpretability or fail to capture the complex, multiphasic growth patterns observed in systems with mixed substrates or microbial communities. This paper presents a methodological framework for reparametrizing the Boltzmann and G…

Beyond Blur: A Fluid Perspective on Generative Diffusion Models
Grzegorz Gruszczynski, Michal Jan Wlodarczyk, Jakub J Meixner, Przemyslaw Musialski
https://arxiv.org/abs/2506.16827

Beyond Blur: A Fluid Perspective on Generative Diffusion Models
We propose a novel PDE-driven corruption process for generative image synthesis based on advection-diffusion processes which generalizes existing PDE-based approaches. Our forward pass formulates image corruption via a physically motivated PDE that couples directional advection with isotropic diffusion and Gaussian noise, controlled by dimensionless numbers (Peclet, Fourier). We implement this PDE numerically through a GPU-accelerated custom Lattice Boltzmann solver for fast evaluation. To indu…

Return of the Lepton Number: Sterile Neutrino Dark Matter Production and the Revival of the Shi-Fuller Mechanism
Cannon M. Vogel, Helena Garc\'ia Escudero, Julien Froustey, Kevork N. Abazajian
https://arxiv.org/abs/2507.18752

Return of the Lepton Number: Sterile Neutrino Dark Matter Production and the Revival of the Shi-Fuller Mechanism
We explore resonant production of sterile neutrino dark matter via the Shi-Fuller (SF) mechanism, revisiting its cosmological viability in light of recent results demonstrating that lepton-number asymmetries $L_α\gtrsim 1$ at temperatures $T > 20\rm\,MeV$ are consistent with Big Bang Nucleosynthesis (BBN). Using a quasi-classical Boltzmann transport calculation of the dark matter production, we compute the non-thermal phase space distributions of sterile neutrinos across a broad range of parti…

Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation
Thomas Bellotti (EM2C)
https://arxiv.org/abs/2507.13108 https…

Stability of lattice Boltzmann schemes for initial boundary value problems in raw formulation
We study the stability of one-dimensional linear scalar lattice Boltzmann schemes for hyperbolic equations with respect to boundary data. Our approach is based on the original raw algorithm on several unknowns, thereby avoiding the need for a transformation into an equivalent scalar formulation-a challenging process in presence of boundaries. To address different behaviors exhibited by the numerical scheme, we introduce appropriate notions of strong stability. They account for the potential abs…

Ionic KdV structure in weakly collisional plasmas
Renjun Duan, Zongguang Li, Dongcheng Yang, Tong Yang
https://arxiv.org/abs/2506.23159 https://

Ionic KdV structure in weakly collisional plasmas
We consider the one-dimensional ions dynamics in weakly collisional plasmas governed by the Vlasov-Poisson-Landau system under the Boltzmann relation with the small collision frequency $ν>0$. It is observed in physical experiments that the interplay of nonlinearities and dispersion may lead to the formation of ion acoustic solitons that are described by the Korteweg-de Vries equation. In this paper, to capture the ionic KdV structure in the weak-collision regime, we study the combined cold-ion…

Ultralow thermal conductivity via weak interactions in PbSe/PbTe monolayer heterostructure for thermoelectric design
Ruihao Tan, Kaiwang Zhang, Yue-Wen Fang
https://arxiv.org/abs/2507.21734

Ultralow thermal conductivity via weak interactions in PbSe/PbTe monolayer heterostructure for thermoelectric design
In this study, we systematically investigate the thermal and electronic transport properties of two-dimensional PbSe/PbTe monolayer heterostructure by combining first-principles calculations, Boltzmann transport theory, and machine learning methods. The heterostructure exhibits a unique honeycomb-like corrugated and asymmetric configuration, which significantly enhances phonon scattering. Moreover, the relatively weak interatomic interactions in PbSe/PbTe lead to the formation of anti-bonding s…

Effects of in-medium nucleon-nucleon cross section in heavy-ion collisions
Shuochong Han, Xinle Shang, Wei Zuo, Gaochan Yong, Ang Li
https://arxiv.org/abs/2507.23476 https://

Effects of in-medium nucleon-nucleon cross section in heavy-ion collisions
Based on the isospin-dependent Boltzmann-Uehling-Uhlenbeck transport model, we investigate the impact of in-medium nucleon-nucleon ($NN$) elastic scattering cross sections on various observables in the $^{132}$Sn+$^{124}$Sn reaction. In our previous work, the in-medium $NN$ cross sections at various densities and isospin asymmetry were systematically studied within the Brueckner-Hartree-Fock (BHF) framework. The calculation employed are based on the exact treatment of the total momentum of the …

Data-Driven Surrogate Modeling of DSMC Solutions Using Deep Neural Networks
Ehsan Roohi, Ahmad Shoja-sani
https://arxiv.org/abs/2506.22453 https://

Data-Driven Surrogate Modeling of DSMC Solutions Using Deep Neural Networks
This study presents a deep neural network (DNN) framework that accelerates Direct Simulation Monte Carlo (DSMC) computations for rarefied-gas flows, while maintaining high physical fidelity. First, a fully connected deep neural network is trained on high-quality DSMC data for seven temperatures (200-650 K) to reproduce the Maxwell-Boltzmann speed distribution of argon. Injecting the physical boundary point into the training set enforces the correct low-speed limit. It reduces the mean-squared e…

Canonical Thermodynamics
Arnaldo Spalvieri
https://arxiv.org/abs/2506.21650 https://arxiv.org/pdf/2506.21650

Canonical Thermodynamics
In the paper, thermodynamics of canonical systems is derived from the multinomial distribution of the occupancy numbers of quantum eigenstates. The cathegorical distribution (i.e. the one-particle distribution) on which the multinomial distribution is based, should be derived from the maximum entropy principle, but, being the multinomial distribution intractable, the paper proposes to take instead the Boltzmann distribution as cathegorical distribution, discussing the reason why the entropy of …

Fokker-Planck equation for the Brownian motion in the post-Newtonian approximation
Gilberto M. Kremer
https://arxiv.org/abs/2507.11082 https://

Fokker-Planck equation for the Brownian motion in the post-Newtonian approximation
A mixture of light-gas particles and Brownian heavy particles is analyzed within the framework of a post-Newtonian Boltzmann equation to determine the Fokker-Planck equation for the Brownian motion. For each species, the equilibrium distribution function refers to the corresponding post-Newtonian Maxwell-Jüttner distribution function. The expressions for the friction viscous coefficient in the first and second post-Newtonian approximations are determined, and we show their dependence on the co…

Discrete Boltzmann distributions via multisets and their coefficients
Bart Jacobs
https://arxiv.org/abs/2507.05719 https://arxiv.org/…

Discrete Boltzmann distributions via multisets and their coefficients
This paper investigates the combinatorics that gives rise to the Boltzmann probability distribution. Despite being one of the most important distributions in physics and other fields of science, the mathematics of the underlying model of particles at different energy levels is underexplored. This paper gives a reconstruction, using multisets with fixed sums as mathematical representations. Counting (the coefficients of) such multisets gives a general description of binomial, trinomial, quadrino…

An Enthalpy-Based Unified Lattice Boltzmann Flux Solver for Liquid Solidification
Jinxiang Zhou, Liming Yang, Yaping Wang, Jie Wu, Xiaodong Niu
https://arxiv.org/abs/2507.03366

An Enthalpy-Based Unified Lattice Boltzmann Flux Solver for Liquid Solidification
An enthalpy-based uniform lattice Boltzmann flux solver (EULBFS) is proposed in this paper for simulating liquid solidification, incorporating the effects of volume expansion and shrinkage caused by density differences between liquid and solid phases. The proposed solver first establishes the relationships between the macroscopic governing equations and mesoscopic formal equations that describe the temperature, flow, and phase fields. The macroscopic governing equations are then discretized by …

$C^{1,\alpha}$-regularity for Schr\"odinger potentials of Shannon-entropy regularized Optimal Transport
Sumiya Baasandorj, Simone Di Marino, Augusto Gerolin
https://arxiv.org/abs/2506.09302

$C^{1,α}$-regularity for Schrödinger potentials of Shannon-entropy regularized Optimal Transport
We provide the stability of $C^{1,α}$ regularity of Schrödinger potentials of Boltzmann-Shannon entropy regularized Optimal Transport under the classical assumption of marginals supported on bounded convex sets and whose densities are bounded above and below.

$H^s_x$ regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition
Daisuke Kawagoe
https://arxiv.org/abs/2507.18211 https://

$H^s_x$ regularity of solutions to the stationary Boltzmann equation with the incoming boundary condition
We consider the stationary Boltzmann equation with the cross section of the form $B(|v - \tilde{v}, θ|) = B_0 |v - \tilde{v}|^γ\cos θ\sin θ$ for $-3 < γ\leq 1$ in a bounded convex domain under the incoming boundary condition. In this article, we shall show the existence of a solution in a weighted $L^\infty$ space with fractional Sobolev regularity without assuming the positivity of the Gaussian curvature on the boundary. For boundary data sufficiently smooth and close …

On the role of interfacial stabilization in the Rayleigh-B\'enard convection of liquid-liquid dispersions
Francesca Pelusi, Andrea Scagliarini, Mauro Sbragaglia, Massimo Bernaschi, Roberto Benzi
https://arxiv.org/abs/2507.22214

On the role of interfacial stabilization in the Rayleigh-Bénard convection of liquid-liquid dispersions
Based on mesoscale lattice Boltzmann numerical simulations, we characterize the Rayleigh-Bénard (RB) convective dynamics of dispersions of liquid droplets in another liquid phase. Our numerical methodology allows us to modify the droplets' interfacial properties to mimic the presence of an emulsifier (e.g., a surfactant), resulting in a positive disjoining pressure that stabilizes the droplets against coalescence. To appreciate the effects of this interfacial stabilization on the RB convective…

Anisotropic nonlinear transport in two-dimensional ferroelectrics
Qin Zhang, Xu Chen, Mingbo Dou, M. Ye. Zhuravlev, A. V. Nikolaev, Xianjie Wang, L. L. Tao
https://arxiv.org/abs/2506.22739

Anisotropic nonlinear transport in two-dimensional ferroelectrics
The longitudinal nonlinear response plays a crucial role in the nonreciprocal charge transport and may provide a simple electrical means to probe the spin-orbit coupling, magnetic order and polarization states, etc. Here, we report on a study on the polarization and magnetic field control of longitudinal nonlinear transport in two-dimensional (2D) ferroelectrics with in-plane polarization. Based on the Boltzmann transport theory, we first study that using a general Hamiltonian model and show th…

Consistent Initial Conditions for Early Modified Gravity in Effective Field Theory
Jiaming Pan, Meng-Xiang Lin, Gen Ye, Marco Raveri, Alessandra Silvestri
https://arxiv.org/abs/2506.17411

Consistent Initial Conditions for Early Modified Gravity in Effective Field Theory
Precise initial conditions (ICs) are crucial for accurate computation in cosmological perturbation theory. We derive the consistent ICs for Horndeski theory in the Effective Field Theory (EFT) approach, assuming constant EFT functions at early times. We implement the ICs into the public Boltzmann code \texttt{EFTCAMB}, and demonstrate that the expected early-time behavior of perturbations and Weyl potential can be obtained with theory-consistent MG ICs. We identify significant deviations when c…

A hybrid numerical algorithm based on the stochastic particle Shakhov and DSMC method
Hao Jin, Sha Liu, Sirui Yang, Junzhe Cao, Congshan Zhuo, Chengwen Zhong
https://arxiv.org/abs/2506.23917

A hybrid numerical algorithm based on the stochastic particle Shakhov and DSMC method
The Direct Simulation Monte Carlo (DSMC) method is widely employed for simulating rarefied nonequilibrium gas flows. With advances in aerospace engineering and micro/nano-scale technologies, gas flows exhibit the coexistence of rarefied and continuum/near-continuum regimes, which calls for larger time steps and coarser spatial grids for efficient numerical simulation. However, the mesh sizes and time steps in DSMC are constrained by the single-scale nature of the Boltzmann equation and the expl…

Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
Monica L\u{a}c\u{a}tu\c{s}, Matthias M\"oller
https://arxiv.org/abs/2507.12256

Surrogate Quantum Circuit Design for the Lattice Boltzmann Collision Operator
Direct numerical simulation of turbulent flows at high Reynolds numbers remains a major challenge for traditional computational fluid dynamics (CFD) tools running on classical computer hardware. This has motivated growing interest in quantum algorithms for CFD to enable flow simulations on quantum computers. The reason being that these computers are expected to deliver potential speed-ups for certain problems. One promising quantum CFD approach is a fully quantum implementation of the lattice B…

Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space
Ning Jiang, Chao Wang, Yulong Wu, Zhifei Zhang
https://arxiv.org/abs/2506.18420

Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space
In this paper, we rigorously justify the incompressible Euler limit of the Boltzmann equation with general Maxwell reflection boundary condition in the half-space. The accommodation coefficient $α\in (0,1]$ is assumed to be $O(1)$. Our construction of solutions includes the interior fluid part and Knudsen-Prandtl coupled boundary layers. The corresponding solutions to the nonlinear Euler and nonlinear Prandtl systems are taken to be shear flows. Due to the presence of the nonlinear Prandtl lay…

Spectral BBGKY: a scalable scheme for nonlinear Boltzmann and correlation kinetics
Shuai Lu, Shuzhe Shi
https://arxiv.org/abs/2507.14243 https://

Spectral BBGKY: a scalable scheme for nonlinear Boltzmann and correlation kinetics
The Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy provides a time-reversal-symmetric framework for describing the nonequilibrium evolution of many-body systems. Despite the success of Boltzmann-based numerical approaches, systematically extending beyond this lowest-order truncation to the full nonlinear BBGKY hierarchy remains a major challenge. Moreover, even at the Boltzmann level, accurately treating the nonlinear collision term still presents significant difficulties. Here we propos…

On the impact of the turbulent grazing flow development on the acoustic response of an acoustic liner
Angelo Paduano, Francesco Scarano, Julio Cordioli, Damiano Casalino, Francesco Avallone
https://arxiv.org/abs/2507.22714

On the impact of the turbulent grazing flow development on the acoustic response of an acoustic liner
The interaction between acoustic waves and turbulent grazing flow over an acoustic liner is investigated using Lattice-Boltzmann Very-Large-Eddy simulations. A single-degree-of-freedom liner with 11 streamwise-aligned cavities is studied in a grazing flow impedance tube. The conditions replicate reference experiments from the Federal University of Santa Catarina. The influence of grazing flow (with a centerline Mach of 0.32), acoustic wave amplitude, frequency, and propagation direction relativ…

Solving the QCD effective kinetic theory with neural networks
Sergio Barrera Cabodevila, Aleksi Kurkela, Florian Lindenbauer
https://arxiv.org/abs/2506.19632

Solving the QCD effective kinetic theory with neural networks
Event-by-event QCD kinetic theory simulations are hindered by the large numerical cost of evaluating the high-dimensional collision integral in the Boltzmann equation. In this work, we show that a neural network can be used to obtain an accurate estimate of the collision integral in a fraction of the time required for the ordinary Monte Carlo evaluation of the integral. We demonstrate that for isotropic and anisotropic distribution functions, the network accurately predicts the time evolution o…

Current-induced spin-orbit torque on the surface of a transition metal dichalcogenide connected to a two-dimensional ferromagnet CrI$_3$: Effects of twisting and gating
Leyla Majidi, Azadeh Faridi, Reza Asgari
https://arxiv.org/abs/2507.23655

Current-induced spin-orbit torque on the surface of a transition metal dichalcogenide connected to a two-dimensional ferromagnet CrI$_3$: Effects of twisting and gating
Motivated by recent progress in employing two key classes of two-dimensional materials-topological insulators and transition-metal dichalcogenides (TMDCs)-as spin sources for generating spin-orbit torque (SOT), we investigate current-induced spin polarization and the resulting SOT in bilayers composed of a TMDC (WSe$_2$ or MoSe$_2$) and ferromagnetic chromium iodide (CrI$_3$), beyond the linear response regime. Using the steady-state Boltzmann equation, we find that intra-band transitions yield…

A commented translation of Boltzmann's work, "Ueber die sogenannte H-Curve."
Jae Wan Shim
https://arxiv.org/abs/2506.04262 https://

A commented translation of Boltzmann's work, "Ueber die sogenannte H-Curve."
Boltzmann's work, ``Ueber die sogenannte H-Curve," discusses his demonstration of the essential characteristics of the H-curve in a clear, concise, and precise style, showcasing his efforts to persuade his peers. To make these findings more widely accessible, the author aims to provide a translated version of the original article, while also correcting some typographical errors in the mathematical expressions with explanatory footnotes. The final section offers concluding remarks with graphs an…

Conditions for thermoelectric power factor improvements upon band alignment in complex bandstructure materials
Saff E Awal Akhtar, Neophytos Neophytou
https://arxiv.org/abs/2506.20461

Conditions for thermoelectric power factor improvements upon band alignment in complex bandstructure materials
Band alignment (or band convergence) is a strategy suggested to provide improvements in the thermoelectric power factor (PF) of materials with complex bandstructures. The addition of more bands at the energy region that contributes to transport, can provide more conducting paths and could improve the electrical conductivity and PF of a material. However, this can lead to increased inter-valley scattering, which will tend to degrade the conductivity. Using the Boltzmann Transport Equation (BTE) …

The Gardner equation and acoustic solitary waves in plasmas
Frank Verheest, Willy A. Hereman
https://arxiv.org/abs/2506.15024 https://

The Gardner equation and acoustic solitary waves in plasmas
Ion-acoustic waves in a dusty plasma are investigated where it is assumed that the ions follow a Cairns distribution and the electrons are Boltzmann distributed. Two theoretical methods are applied: Sagdeev pseudopotential analysis (SPA) and reductive perturbation theory (RPT). Since SPA incorporates all nonlinearities of the model it is the most accurate but deriving soliton profiles requires numerical integration of Poisson's equation. By contrast, RPT is a perturbation method which at second…

A fluctuating lattice Boltzmann method for viscoelastic fluid flows
Juanyong Wang, Xinyue Liu, Lei Wang, Yuan Yu, Yiran Ji
https://arxiv.org/abs/2506.13072

A fluctuating lattice Boltzmann method for viscoelastic fluid flows
This study introduces a novel fluctuating lattice Boltzmann (LB) method for simulating viscoelastic fluid flows governed by the Oldroyd-B model. In contrast to conventional LB approaches that explicitly compute the divergence of the polymer stress tensor using finite-difference schemes, the proposed method incorporates the polymer stress implicitly by introducing a polymer stress fluctuation term directly into the evolution equation. This treatment avoids the need for stress-gradient computatio…

Deep Variational Free Energy Calculation of Hydrogen Hugoniot
Zihang Li, Hao Xie, Xinyang Dong, Lei Wang
https://arxiv.org/abs/2507.18540 https://arxiv.org…

Deep Variational Free Energy Calculation of Hydrogen Hugoniot
We develop a deep variational free energy framework to compute the equation of state of hydrogen in the warm dense matter region. This method parameterizes the variational density matrix of hydrogen nuclei and electrons at finite temperature using three deep generative models: a normalizing flow model that represents the Boltzmann distribution of the classical nuclei, an autoregressive transformer that models the distribution of electrons in excited states, and a permutational equivariant flow …

The Rayleigh-Boltzmann equation with shear deformations in the hyperbolic-dominated regime
Nicola Miele, Alessia Nota, Juan J. L. Vel\'azquez
https://arxiv.org/abs/2506.15449 …

The Rayleigh-Boltzmann equation with shear deformations in the hyperbolic-dominated regime
In this paper we consider a particular class of solutions of the Rayleigh-Boltzmann equation, known in the nonlinear setting as homoenergetic solutions, which have the form $g\left( x,v,t \right) =f\left( v-L\left( t\right)x,t\right)$ where the matrix $L(t)$ describes a shear flow deformation. We began this analysis in [22] where we rigorously proved the existence of a stationary non-equilibrium solution and established the different behaviour of the solutions for small and large values of the …

Spin polarization from nucleon-nucleon scatterings in intermediate-energy heavy-ion collisions
Rong-Jun Liu, Jun Xu, Yu-Gang Ma
https://arxiv.org/abs/2506.22247

Spin polarization from nucleon-nucleon scatterings in intermediate-energy heavy-ion collisions
We propose a new mechanism of generating spin polarization in heavy-ion collisions dominated by nucleon degree of freedom. By incorporating the spin change in nucleon-nucleon scatterings based on the phase shift data together with the constraint of rigorous angular momentum conservation and Pauli blocking, we illustrate through a Boltzmann-Uehling-Uhlenbeck transport model that appreciable spin polarization (about $1 \sim 2\%$) can be generated in intermediate-energy heavy-ion collisions. This …

This https://arxiv.org/abs/2501.02161 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Improved adjoint lattice Boltzmann method for topology optimization of laminar convective heat transfer
Solving flow-related inverse problems such as topology optimization problems is intricate but significant in various engineering fields. The lattice Boltzmann method (LBM) and the related adjoint method are highly suitable to perform sensitivity analysis in flow-related inverse problems thanks to their strong capability to handle complex structures and excellent parallel scalability. However, the current continuous adjoint LBM shows theoretical inconsistency and poor numerical stability for ope…

This https://arxiv.org/abs/2504.12941 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Osmolyte-Modulated Differential Capacitance and Disjoining Pressure for Nanoconfined Electrolytes: A Modified Poisson-Boltzmann Theory
This study employs modified Poisson-Boltzmann theory to systematically investigate the influence of zwitterionic osmolyte additives to an electrolyte solution on disjoining pressure and electric differential capacitance within charged slit-like nanopores with conductive walls. We demonstrate that increasing concentrations of zwitterionic osmolytes synergistically enhance both disjoining pressure and differential capacitance, highlighting their dual role in the potential improvement of supercapa…

Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation
Gabriella Puppo, Thomas Rey, Tommaso Tenna
https://arxiv.org/abs/2506.13480

Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation
Starting from the multi-species Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in [Romenski, E., and Toro, E. F., Comput. Fluid Dyn. J., 13 (2004)]. We examine the asymptotic limit as the Knudsen numbers approach zero, in a regime characterized by resonant intra-species collisions, where interactions between particles of the same species dominate. This specific regime leads to a multi-velocity and multi-pressure hydrodyna…

Burnett-level multi-relaxation-time central-moment discrete Boltzmann modeling of reactive flows
Qingbin Wu, Chuandong Lin, Huilin Lai
https://arxiv.org/abs/2507.03877

Burnett-level multi-relaxation-time central-moment discrete Boltzmann modeling of reactive flows
A multi-relaxation-time central-moment discrete Boltzmann method (CDBM) is developed for compressible reactive flows, incorporating the effects of chemical reactions. The Chapman--Enskog multiscale analysis demonstrates that the model recovers the Burnett equations in the hydrodynamic limit, with tunable specific heat ratios and Prandtl numbers. Within the CDBM framework, a unified Boltzmann equation governs the evolution of hydrodynamic variables, thermodynamic quantities, and higher-order cen…

Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach
Yi-Dan Song, Min-Si Luo, Rui Wang, Zhen Zhang, Yu-Gang Ma
https://arxiv.org/abs/2507.21880

Constraining neutron-proton effective mass splitting through nuclear giant dipole resonance within transport approach
Based on the Boltzmann-Uehling-Uhlenbeck equation, we investigate the effects of the isovector nucleon effective mass $m^*_{v,0}$ and the in-medium nucleon-nucleon cross section $σ^*$ on the isovector giant dipole resonance~(IVGDR) in $^{208}{\rm Pb}$, employing a set of representative Skyrme energy density functionals. We find that the energy-weighted sum rule $m_1$ of the IVGDR is highly sensitive to $m^{*}_{v,0}$ and only mildly dependent on $σ^*$, while the width $Γ$ of the IVGDR is prim…

Simulating Correlated Electrons with Symmetry-Enforced Normalizing Flows
Dominic Schuh, Janik Kreit, Evan Berkowitz, Lena Funcke, Thomas Luu, Kim A. Nicoli, Marcel Rodekamp
https://arxiv.org/abs/2506.17015

Simulating Correlated Electrons with Symmetry-Enforced Normalizing Flows
We present the first proof of principle that normalizing flows can accurately learn the Boltzmann distribution of the fermionic Hubbard model - a key framework for describing the electronic structure of graphene and related materials. State-of-the-art methods like Hybrid Monte Carlo often suffer from ergodicity issues near the time-continuum limit, leading to biased estimates. Leveraging symmetry-aware architectures as well as independent and identically distributed sampling, our approach resol…

Influence of the Effective Mass on ab initio Phonon-limited Electron Mobility of GaAs
Mohammad Dehghani, Dominic Waldhoer, Angus Gentles, Pedram Khakbaz, Rainer Minixhofer, Michael Waltl
https://arxiv.org/abs/2506.16977

Influence of the Effective Mass on ab initio Phonon-limited Electron Mobility of GaAs
We present a comprehensive ab initio study of the influence of band structure corrections, particularly the electron effective mass, on the phonon-limited electron drift and Hall mobilities of GaAs. Our approach is based on the DFT+$U$ method, combined with an iterative solution of the linearized Boltzmann transport equation using the Wannier interpolation technique. We show how this framework allows for accurate refinements of the electronic band structure and phonon dispersion, leading to imp…

Exact solution of asymmetric gelation between three walks on the square lattice
Aleksander L Owczarek, Andrew Rechnitzer
https://arxiv.org/abs/2507.17111 https://

Exact solution of asymmetric gelation between three walks on the square lattice
We find and analyse the exact solution of a model of three different polymers with asymmetric contact interactions in two dimensions, modelling a scenario where there are different types of polymers involved. In particular, we find the generating function of three directed osculating walks in star configurations on the square lattice with two interaction Boltzmann weights, so that there is one type of contact interaction between the top pair of walks and a different interaction betw…

Direct numerical simulations of the supersonic Taylor--Green vortex via the Boltzmann equation
Tarik Dzanic, Will Trojak, Luigi Martinelli
https://arxiv.org/abs/2507.07213

Direct numerical simulations of the supersonic Taylor--Green vortex via the Boltzmann equation
We explore the dynamics of the three-dimensional compressible Taylor--Green vortex from the perspective of kinetic theory by directly solving the six-dimensional Boltzmann equation. This work studies the connections between molecular-scale information encoded in the high-dimensional distribution function (e.g., molecular entropy measures) and macroscopic turbulent flow characteristics. We present high-order direct numerical simulations at Mach numbers of $0.5$ to $1.25$ and Reynolds numbers of …

Optimal $C^{\frac{1}{2}}$ regularity of the Boltzmann equation in non-convex domains
Gayoung An, Donghyun Lee
https://arxiv.org/abs/2507.07353 https://

Optimal $C^{\frac{1}{2}}$ regularity of the Boltzmann equation in non-convex domains
Regularity of the Boltzmann equation, particularly in the presence of physical boundary conditions, heavily relies on the geometry of the boundaries. In the case of non-convex domains with specular reflection boundary conditions, the problem remained outstanding until recently due to the severe singularity of billiard trajectories near the grazing set, where the trajectory map is not differentiable. This challenge was addressed in [32], where $C^{\frac{1}{2}-}_{x,v}$ Hölder regularity was prov…

A Comprehensive Evaluation of the Bernoulli-Trial Collisions Families in Treating Rarefied Micro Flows and Hypersonic Flows
Ahmad Shoja-sani, Maryam Javani, Ehsan Roohi, Stefan Stefanov
https://arxiv.org/abs/2506.17256

A Comprehensive Evaluation of the Bernoulli-Trial Collisions Families in Treating Rarefied Micro Flows and Hypersonic Flows
The collision process is essential to the Direct Simulation Monte Carlo (DSMC) method, as it incorporates the fundamental principles of the Boltzmann and Kac stochastic equations. A series of collision algorithms, known as the Bernoulli-trials (BT) family schemes, have been proposed based on the Kac stochastic equation. The impetus of this paper is to present a comprehensive evaluation of different BT-based collision partner selection schemes, including the simplified Bernoulli-trials (SBT), ge…

Slip-flow theory for thermo-osmosis based on a kinetic model with near-wall potential
Tetsuro Tsuji, Koichiro Takita, Satoshi Taguchi
https://arxiv.org/abs/2506.20229

Slip-flow theory for thermo-osmosis based on a kinetic model with near-wall potential
In this paper, thermal-slip coefficients in slip boundary conditions of the Stokes equation are derived using the generalized slip-flow theory, with special interest in the role of near-wall potential in micro- and nanoscale flows. As the model of fluids and fluid-solid interaction, we employ the model Boltzmann equation for dilute gases and the diffuse-reflection boundaries with near-wall potential, respectively. It is found that, when the mean free path of gas molecules and the effective rang…

This https://arxiv.org/abs/2502.20799 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Quantum-assisted variational Monte Carlo
Solving the ground state of quantum many-body systems remains a fundamental challenge in physics and chemistry. Recent advancements in quantum hardware have opened new avenues for addressing this challenge. Inspired by the quantum-enhanced Markov chain Monte Carlo (QeMCMC) algorithm [Nature, 619, 282-287 (2023)], which was originally designed for sampling the Boltzmann distribution of classical spin models using quantum computers, we introduce a quantum-assisted variational Monte Carlo (QA-VMC)…

This https://arxiv.org/abs/2409.16814 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the large amplitude solution of the Boltzmann equation with large external potential and boundary effects
The Boltzmann equation is a fundamental equation in kinetic theory that describes the motion of rarefied gases. In this study, we examine the Boltzmann equation within a $C^1$ bounded domain, subject to a large external potential $Φ(x)$ and diffuse reflection boundary conditions. Initially, we prove the asymptotic stability of small perturbations near the local Maxwellian $μ_E (x,v)$. Subsequently, we demonstrate the asymptotic stability of large amplitude solutions with initial data that is …

Lattice Boltzmann wall boundary conditions for RANS-based simulations with wall functions
Jorge Ponsin, Carlos Lozano
https://arxiv.org/abs/2506.03905 http…

Lattice Boltzmann wall boundary conditions for RANS-based simulations with wall functions
In this study, we investigate wall boundary condition schemes for Lattice Boltzmann simulations of turbulent flows modeled using RANS equations with wall functions. Two alternative schemes are formulated and assessed: a hybrid regularized boundary condition and a slip-velocity bounce-back scheme. Their performance is evaluated using two canonical turbulent flow cases, a fully developed channel flow and a zero-pressure-gradient flat plate boundary layer (BL), selected specifically to isolate and…

This https://arxiv.org/abs/2504.10200 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Stability analysis of discrete Boltzmann simulation for supersonic flows: Influencing factors, coupling mechanisms and optimization strategies
Supersonic flow simulations face challenges in trans-scale modeling, numerical stability, and complex field analysis due to inherent nonlinear, nonequilibrium, and multiscale characteristics. The discrete Boltzmann method (DBM) provides a multiscale kinetic modeling framework and analysis tool to capture complex discrete/nonequilibrium effects. While the numerical scheme plays a fundamental role in DBM simulations, a comprehensive stability analysis remains lacking. Similar to LBM, complexity m…

This https://arxiv.org/abs/2505.22256 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Improvement of Solid-Fluid Interaction Scheme in Lattice Boltzmann Immiscible Pseudopotential Models
The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However, when modeling wettability phenomenon, existing solid-fluid interaction schemes exhibit persistent challenges in multi-component immiscible fluid systems, notably manifested through spurious velocity artifacts and unphysical mass-transfer boundary layers. This …

Individual-Based Foundation of SIR-Type Epidemic Models: mean-field limit and large time behaviour
Giorgio Martal\`o, Giuseppe Toscani, Mattia Zanella
https://arxiv.org/abs/2507.13947

Individual-Based Foundation of SIR-Type Epidemic Models: mean-field limit and large time behaviour
We introduce a kinetic framework for modeling the time evolution of the statistical distributions of the population densities in the three compartments of susceptible, infectious, and recovered individuals, under epidemic spreading driven by susceptible-infectious interactions. The model is based on a system of Boltzmann-type equations describing binary interactions between susceptible and infectious individuals, supplemented with linear redistribution operators that account for recovery and re…

Kac's Program for the Landau Equation
Xuanrui Feng, Zhenfu Wang
https://arxiv.org/abs/2506.14309 https://arxiv.org/pdf/2506.14309…

Kac's Program for the Landau Equation
We study the derivation of the spatially homogeneous Landau equation from the mean-field limit of some conservative $N$-particle system, which is formulated by passing to the grazing limit on Kac's walk in his program for the Boltzmann equation. It is the first time that propagation of chaos is resolved for some many-particle system approximating the Landau equation with Coulomb interactions, and that Kac's program is extended to the Landau equation in the regime of soft potentials. The converg…

Sublimation and deposition at a solid sphere in the presence of a non-condensable gas
Denize Kalempa, Felix Sharipov, Irina Graur
https://arxiv.org/abs/2507.10858

Sublimation and deposition at a solid sphere in the presence of a non-condensable gas
The sublimation/deposition process at a solid sphere of argon into its vapor in the presence of helium as a background gas is modeled applying the linearized Boltzmann equation, in which the McCormack model is employed for the collisional term. The Onsager coefficients determining the mass and energy flow rates at the interface are calculated over a wide range of rarefaction parameter and for some values of molar fraction of the background gas in the mixture. Moreover, two values for the temper…