Tootfinder

This https://arxiv.org/abs/2403.01537 has been replaced.
link: https://scholar.google.com/scholar?q=a

Mixed-Strategy Nash Equilibrium for Crowd Navigation
We address the problem of finding mixed-strategy Nash equilibrium for crowd navigation. Mixed-strategy Nash equilibrium provides a rigorous model for the robot to anticipate uncertain yet cooperative human behavior in crowds, but the computation cost is often too high for scalable and real-time decision-making. Here we prove that a simple iterative Bayesian updating scheme converges to the Nash equilibrium of a mixed-strategy social navigation game. Furthermore, we propose a data-driven framewo…

A logarithm law for nonautonomous systems fastly converging to equilibrium and mean field coupled systems
Stefano Galatolo, Davide Faranda
https://arxiv.org/abs/2404.03241

A logarithm law for nonautonomous systems fastly converging to equilibrium and mean field coupled systems
We prove that if a nonautonomous system has in a certain sense a fast convergence to equilibrium (faster than any power law behavior) then the time $τ_{r}(x,y)$ needed for a typical point $x$ to enter for the first time in a ball $B(y,r)$ centered in $y$, with small radius \ $r $ scales as the local dimension of the equilibrium measure \ $μ$ at $y$, i.e. $$ \underset{r\rightarrow 0}{\lim }\frac{\log τ_{r}(x,y)}{-\log r}% =d_{μ}(y).$$ We then apply the general result to concrete systems of…

Leveraging Team Correlation for Approximating Equilibrium in Two-Team Zero-Sum Games
Naming Liu, Mingzhi Wang, Youzhi Zhang, Yaodong Yang, Bo An, Ying Wen
https://arxiv.org/abs/2403.00255

Leveraging Team Correlation for Approximating Equilibrium in Two-Team Zero-Sum Games
Two-team zero-sum games are one of the most important paradigms in game theory. In this paper, we focus on finding an unexploitable equilibrium in large team games. An unexploitable equilibrium is a worst-case policy, where members in the opponent team cannot increase their team reward by taking any policy, e.g., cooperatively changing to other joint policies. As an optimal unexploitable equilibrium in two-team zero-sum games, correlated-team maxmin equilibrium remains unexploitable even in the…

Pre-equilibrium Photon and Dilepton Production
Oscar Garcia-Montero, Aleksas Mazeliauskas, Philip Plaschke, S\"oren Schlichting
https://arxiv.org/abs/2404.02861

Pre-equilibrium Photon and Dilepton Production
We use QCD kinetic theory to compute photon and dilepton production in the chemically equilibrating out-of-equilibrium quark-gluon plasma created in the early stages of high-energy heavy-ion collisions. We derive universal scaling functions for the pre-equilibrium spectra of photons and dileptons. These scaling functions can be used to make realistic predictions for the pre-equilibrium emission and consequently establish the significance of the pre-equilibrium phase for the production of electr…

This https://arxiv.org/abs/2403.16959 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

The thermodynamics of the quantum Mpemba effect
We investigate the quantum Mpemba effect from the perspective of non-equilibrium quantum thermodynamics by studying relaxation dynamics described by Davies maps. Starting from a state with coherences in the energy eigenbasis, we demonstrate that an exponential speedup to equilibrium will always occur if the state is transformed to a diagonal state in the energy eigenbasis, provided that the spectral gap of the generator is defined by a complex eigenvalue. When the transformed state has a higher…

I am lucky to have worked with
#NTUSingapore PhD student Yilin Zhang for the last two years. She teased apart complicated clouds microphysical processes using measurements and modeling of the 17-O composition of water.
#Clouds processes like these are of paramount importance in determining the equilibrium #climate sensitivity (how much warming CO2 causes) of models as well as bits of the hydrologic cycle like extreme rain.
Her first in a series of 3 papers is out:
https://www.linkedin.com/posts/yilin-z_climate-tropics-singapore-activity-7192064590942277636-NTd3

This https://arxiv.org/abs/2402.18529 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

High angular momentum hot differentially rotating equilibrium star evolutions in conformally flat spacetime
The conformal flatness approximation to the Einstein equations has been successfully used in many astrophysical applications such as initial data constructions and dynamical simulations. Although it has been shown that full general relativistic strongly differentially rotating equilibrium models deviate by at most a few percent from their conformally flat counterparts, whether those conformally flat solutions remain stable has not been fully addressed. To further understand the limitations of t…

Information propagation in far-from-equilibrium molecular templating networks is optimised by pseudo-equilibrium systems with negligible dissipation
Benjamin Qureshi, Jenny M. Poulton, Thomas E. Ouldridge
https://arxiv.org/abs/2404.02791

Information propagation in far-from-equilibrium molecular templating networks is optimised by pseudo-equilibrium systems with negligible dissipation
Far-from equilibrium molecular templating networks, like those that maintain the populations of RNA and protein molecules in the cell, are key biological motifs. These networks share the general property that assembled products are produced and degraded via complex pathways controlled by catalysts, including molecular templates. Although it has been suggested that the information propagated from templates to products sets a lower bound on the thermodynamic cost of these networks, this bound has…

This https://arxiv.org/abs/2312.13372 has been replaced.
initial toot: https://mastoxiv.page/@…

Nonequilibrium Criticality at the Onset of Time-Crystalline Order
We explore the phase transitions at the onset of time-crystalline order in $O(N)$ models driven out-of-equilibrium. The spontaneous breaking of time translation symmetry and its Goldstone mode are captured by an effective description with $O(N)\times SO(2)$ symmetry. Using the renormalization group and the $ε=4-d$ expansion in a leading two-loop analysis, we identify a new non-equilibrium universality class. Strikingly, it controls the long-distance physics no matter how small the microscopic …

Pre-equilibrium Photon and Dilepton Production
Oscar Garcia-Montero, Aleksas Mazeliauskas, Philip Plaschke, S\"oren Schlichting
https://arxiv.org/abs/2404.02861

Pre-equilibrium Photon and Dilepton Production
We use QCD kinetic theory to compute photon and dilepton production in the chemically equilibrating out-of-equilibrium quark-gluon plasma created in the early stages of high-energy heavy-ion collisions. We derive universal scaling functions for the pre-equilibrium spectra of photons and dileptons. These scaling functions can be used to make realistic predictions for the pre-equilibrium emission and consequently establish the significance of the pre-equilibrium phase for the production of electr…

Out-of-equilibrium thermodynamics of autocatalytic networks
Armand Despons
https://arxiv.org/abs/2404.03347 https://arxiv.org/pdf/240…

Out-of-equilibrium thermodynamics of autocatalytic networks
The purpose of this work is to clarify how the stoichiometric trait of autocatalytic networks, namely their absence of a conservation law, shapes their non-equilibrium behavior. To do so, we consider an autocatalytic network coupled with external species acting as food/waste materials, necessary to fulfill mass conservation. Then, we show that the production of autocatalytic species requires a conservative influx of these external species. From this, we derive the thermodynamic potential of an …

Manipulation of Belief Aggregation Rules
Christopher P. Chambers, Federico Echenique, Takashi Hayashi
https://arxiv.org/abs/2405.01655 https://

Manipulation of Belief Aggregation Rules
This paper studies manipulation of belief aggregation rules in the setting where the society first collects individual's probabilistic opinions and then solves a public portfolio choice problem with common utility based on the aggregate belief. First, we show that belief reporting in Nash equilibrium under the linear opinion pool and log utility is identified as the profile of state-contingent wealth shares in parimutuel equilibrium with risk-neutral preference. Then we characterize belief …

I am lucky to have worked with
#NTUSingapore PhD student Yilin Zhang for the last two years. She teased apart complicated clouds microphysical processes using measurements and modeling of the 17-O composition of water.
#Clouds processes like these are of paramount importance in determining the equilibrium #climate sensitivity (how much warming CO2 causes) of models as well as bits of the hydrologic cycle like extreme rain.
Her first in a series of 3 papers is out:
https://www.linkedin.com/posts/yilin-z_climate-tropics-singapore-activity-7192064590942277636-NTd3

Equilibrium Model with Anisotropy for Model-Based Reconstruction in Magnetic Particle Imaging
Marco Maass, Tobias Kluth, Christine Droigk, Hannes Albers, Konrad Scheffler, Alfred Mertins, Tobias Knopp
https://arxiv.org/abs/2403.00602

Equilibrium Model with Anisotropy for Model-Based Reconstruction in Magnetic Particle Imaging
Magnetic particle imaging is a tracer-based tomographic imaging technique that allows the concentration of magnetic nanoparticles to be determined with high spatio-temporal resolution. To reconstruct an image of the tracer concentration, the magnetization dynamics of the particles must be accurately modeled. A popular ensemble model is based on solving the Fokker-Plank equation, taking into account either Brownian or Néel dynamics. The disadvantage of this model is that it is computationally e…

This https://arxiv.org/abs/2302.05797 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Global Convergence Rate of Deep Equilibrium Models with General Activations
In a recent paper, Ling et al. investigated the over-parametrized Deep Equilibrium Model (DEQ) with ReLU activation. They proved that the gradient descent converges to a globally optimal solution for the quadratic loss function at a linear convergence rate. This paper shows that this fact still holds for DEQs with any generally bounded activation with bounded first and second derivatives. Since the new activation function is generally non-homogeneous, bounding the least eigenvalue of the Gram m…

This https://arxiv.org/abs/2403.16223 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

A Coupled Optimization Framework for Correlated Equilibria in Normal-Form Game
In competitive multi-player interactions, simultaneous optimality is a key requirement for establishing strategic equilibria. This property is explicit when the game-theoretic equilibrium is the simultaneously optimal solution of coupled optimization problems. However, no such optimization problems exist for the correlated equilibrium, a strategic equilibrium where the players can correlate their actions. We address the lack of a coupled optimization framework for the correlated equilibrium by …

A mean-field model of optimal investment
Alessandro Calvia, Salvatore Federico, Giorgio Ferrari, Fausto Gozzi
https://arxiv.org/abs/2404.02871 https://

A mean-field model of optimal investment
We establish the existence and uniqueness of the equilibrium for a stochastic mean-field game of optimal investment. The analysis covers both finite and infinite time horizons, and the mean-field interaction of the representative company with a mass of identical and indistinguishable firms is modeled through the time-dependent price at which the produced good is sold. At equilibrium, this price is given in terms of a nonlinear function of the expected (optimally controlled) production capacity …

Bubble wall velocity and gravitational wave in the minimal left-right symmetric model
Dian-Wei Wang, Qi-Shu Yan, Mei Huang
https://arxiv.org/abs/2405.01949

Bubble wall velocity and gravitational wave in the minimal left-right symmetric model
The bubble wall velocity in the first order phase transition plays an important role in determining both the amplitude and the pivot frequency of stochastic gravitational wave background. In the framework of the minimal left-right symmetric model, we study the wall velocity when the first order phase transition can occur. The wall velocity can be determined by matching the distribution functions in the free particle approximation and the local thermal equilibrium approximation. It is found that…

Physical Properties and Kinematics of Dense Cores Associated with Regions of Massive Star Formation from the Southern Sky
L. E. Pirogov, P. M. Zemlyanukha, E. M. Dombek, M. A. Voronkov
https://arxiv.org/abs/2403.03074 https://arxiv.org/pdf/2403.03074
arXiv:2403.03074v1 Announce Type: new
Abstract: The results of spectral observations in the $\sim 84-92$ GHz frequency range of six objects in the southern sky containing dense cores and associated with regions of massive stars and star clusters formation are presented. The observations were carried out with the MOPRA-22m radio telescope. Within the framework of the local thermodynamic equilibrium (LTE) approximation, the column densities and abundances of the H$^{13}$CN, H$^{13}$CO$^ $, HN$^{13}$C, HC$_3$N, c-C$_3$H$_2$, SiO, CH$_3$C$_2$H and CH$_3$CN molecules are calculated. Estimates of kinetic temperatures ($\sim 30-50$ K), sizes of emission regions ($\sim 0.2-3.1$ pc) and virial masses ($\sim 70-4600~M_{\odot}$) are obtained. The line widths in the three cores decrease with increasing distance from the center. In four cores, asymmetry in the profiles of the optically thick lines HCO$^ $(1-0) and HCN(1-0) is observed, indicating the presence of systematic motions along the line of sight. In two cases, the asymmetry can be caused by contraction of gas. The model spectral maps of HCO$^ $(1-0) and H$^{13}$CO$^ $(1-0), obtained within the framework of the non-LTE spherically symmetric model, are fitted into the observed ones. The radial profiles of density ($\propto r^{-1.6}$), turbulent velocity ($\propto r^{-0.2}$), and contraction velocity ($\propto r^{0.5}$) in the G268.42--0.85 core have been calculated. The contraction velocity profile differs from that expected both in the case of free fall of gas onto a protostar ($\propto r^{-0.5}$), and in the case of global core collapse (contraction velocity does not depend on distance). A discussion of the obtained results is provided.

LQ Control of Traffic Flow Models via Variable Speed Limits
Brian Block, Stephanie Stockar
https://arxiv.org/abs/2403.02507 https://a…

LQ Control of Traffic Flow Models via Variable Speed Limits
In this paper, an extension of a linear control design for hyperbolic linear partial differential equations is presented for a first-order traffic flow model. Starting from the Lighthill-Whitham-Richards (LWR) model, variable speed limit control (VSL) is applied through a modification of Greenshield's equilibrium flow model. Then, an optimal linear quadratic (LQ) controller is designed on the linear LWR model. The LQ state feedback function is found via the solution of a Riccati differential eq…

Statistical modeling of equilibrium phase transition in confined fluids
Gunjan Auti, Soumyadeep Paul, Shohei Chiashi, Hirofumi Daiguji
https://arxiv.org/abs/2403.03162

Statistical modeling of equilibrium phase transition in confined fluids
The phase transition of confined fluids in mesoporous materials deviates from that of bulk fluids due to the former's interactions with the surrounding heterogeneous structure. For example, metal-organic frameworks (MOFs) create a strong heterogeneous field, so adsorbed fluids in MOFs have atypical phase characteristics such as capillary condensation and higher-order phase transitions. These characteristics are modeled by decoupling the host-guest and guest-guest interactions as a many-body pro…

This https://arxiv.org/abs/2401.12188 has been replaced.
initial toot: https://mastoxiv.page/@ar…

A Moving Surface Drag Model for LES of Wind over Waves
Numerical prediction of the interactions between wind and ocean waves is essential for climate modeling and a wide range of offshore operations. Large Eddy Simulation (LES) of the marine atmospheric boundary layer is a practical numerical predictive tool but requires parameterization of surface fluxes at the air-water interface. Current momentum flux parameterizations primarily use wave-phase adapting computational grids, incurring high computational costs, or use an equilibrium model based on …

This https://arxiv.org/abs/2403.15851 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
We explore non-equilibrium processes in two-dimensional conformal field theories (2d CFTs) due to the growth of operators induced by inhomogeneous and homogeneous Hamiltonians by investigating the time dependence of the partition function, energy density, and entanglement entropy. The non-equilibrium processes considered in this paper are constructed out of the Lorentzian and Euclidean time evolution governed by different Hamiltonians. We explore the effect of the time ordering on entanglement …

Attributing Responsibility in AI-Induced Incidents: A Computational Reflective Equilibrium Framework for Accountability
Yunfei Ge, Quanyan Zhu
https://arxiv.org/abs/2404.16957

Attributing Responsibility in AI-Induced Incidents: A Computational Reflective Equilibrium Framework for Accountability
The pervasive integration of Artificial Intelligence (AI) has introduced complex challenges in the responsibility and accountability in the event of incidents involving AI-enabled systems. The interconnectivity of these systems, ethical concerns of AI-induced incidents, coupled with uncertainties in AI technology and the absence of corresponding regulations, have made traditional responsibility attribution challenging. To this end, this work proposes a Computational Reflective Equilibrium (CRE)…

Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity
Jos\'e Valero
https://arxiv.org/abs/2405.01894

Characterization of the attractor for nonautonomous reaction-diffusion equations with discontinuous nonlinearity
In this paper, we study the asymptotic behavior of the solutions of a nonautonomous differential inclusion modeling a reaction-diffusion equation with a discontinuous nonlinearity. We obtain first several properties concerning the uniqueness and regularity of non-negative solutions. Then we study the structure of the pullback attractor in the positive cone, showing that it consists of the zero solution, the unique positive nonautonomous equilibrium and the heteroclinic connections between them,…

This https://arxiv.org/abs/2312.07411 has been replaced.
initial toot: https://mastoxiv.page/@a…

Breakdown of the Born-Oppenheimer approximation in LiH and LiD
We compute the ab-initio electron density beyond the Born-Oppenheimer approximation in crystalline LiH and LiD with density functional methods. We report significant beyond Born-Oppenheimer corrections to electron density in the vicinity of nuclei equilibrium positions. We thus verify the breakdown of the Born-Oppenheimer approximation, as earlier suggested on experimental grounds. A reasonable agreement between the experimental and computational results is found. The results indicate the exist…

Production of Resonances in Partial Chemical Equilibrium
Boris Tomasik, Sandor Lokos
https://arxiv.org/abs/2403.00427 https://arxiv.o…

Production of Resonances in Partial Chemical Equilibrium
Within the model of partial chemical equilibrium (PCE) we calculate the multiplicity ratios of selected unstable resonances to given stable species. We focus on those ratios that have been measured either in Pb+Pb collisions at the LHC or in Au+Au collisions at the top RHIC energy. The model provides an interpretation how in an expanding hadronic fireball with decreasing temperature the final numbers of stable hadrons after decays of all resonances remain unchanged. Each stable species acquires…

Irreversibility as divergence from equilibrium
David Andrieux
https://arxiv.org/abs/2404.01978 https://arxiv.org/pdf/2404.01978

Irreversibility as divergence from equilibrium
The entropy production is commonly used to gauge a system's distance from equilibrium, but this interpretation lacks formalization due to the absence of a natural equilibrium measure. This analysis shows that the entropy production of a Markov system measures its separation from specific equilibrium dynamics. These reference dynamics correspond to the closest reversible systems in the information-theoretic sense. This result yields new lower bounds for the entropy production and novel links bet…

This https://arxiv.org/abs/2402.13882 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Remarks on the one-point density of Hele-Shaw $β$-ensembles
In this note we prove equicontinuity for the family of one-point densities with respect to a two-dimensional Coulomb gas at an inverse temperature $β\ge 1/2$ confined by an external potential of Hele-Shaw (or quasi-harmonic) type. As a consequence, subsequential limiting Lipschitz continuous densities are defined on the microscopic scale. There are several additional results, for example comparing the one-point density with the thermal equilibrium density.

Equilibrium in Style: A Modeling Framework on the Cash Flow and the Life Cycle of a Consumer Store
Shanyu Han, Jian Lei, Yang Liu
https://arxiv.org/abs/2404.02426

Equilibrium in Style: A Modeling Framework on the Cash Flow and the Life Cycle of a Consumer Store
The consumer store is ubiquitous and plays an important role in our everyday lives. It is an open question why stores usually have such short life cycles (typically around 3 years in China). This paper proposes a theoretical framework based on an equilibrium in style supply of stores and style demand of consumers to characterize store cash flow (revenue), leading to a strong explanation of this puzzle. In our model, we derive that the preference shifting of consumers is the main reason for the …

Giant effective $g$-factor due to spin bifurcations in polariton condensates
A. Bochin, I. Chestnov, A. Nalitov
https://arxiv.org/abs/2405.01941 https://…

Giant effective $g$-factor due to spin bifurcations in polariton condensates
We predict giant susceptibility of spin-bifurcating polariton condensates to externally applied permanent magnetic field. In the presence of spin-anisotropic polariton-polariton interactions, the condensate spontaneously takes an elliptically polarised state, {whose perturbation dynamics can be interpreted in terms of the presence of strong effective magnetic field} significantly surpassing the external one. Surprisingly, this behaviour of the addressed strongly out-of-equilibrium system in the…

Methods of Stochastic Field Theory in Non-Equilibrium Systems -- Spontaneous Symmetry Breaking of Ergodicity
Tatsuru Kikuchi
https://arxiv.org/abs/2404.01333

Methods of Stochastic Field Theory in Non-Equilibrium Systems -- Spontaneous Symmetry Breaking of Ergodicity
Recently, a couple of investigations related to symmetry breaking phenomena, 'spontaneous stochasticity' and 'ergodicity breaking' have led to significant impacts in a variety of fields related to the stochastic processes such as economics and finance. We investigate on the origins and effects of those original symmetries in the action from the mathematical and the effective field theory points of view. It is naturally expected that whenever the system respects any symmetry, it would be spontan…

Decentralized Multimedia Data Sharing in IoV: A Learning-based Equilibrium of Supply and Demand
Jiani Fan, Minrui Xu, Jiale Guo, Lwin Khin Shar, Jiawen Kang, Dusit Niyato, Kwok-Yan Lam
https://arxiv.org/abs/2403.20218

Decentralized Multimedia Data Sharing in IoV: A Learning-based Equilibrium of Supply and Demand
The Internet of Vehicles (IoV) has great potential to transform transportation systems by enhancing road safety, reducing traffic congestion, and improving user experience through onboard infotainment applications. Decentralized data sharing can improve security, privacy, reliability, and facilitate infotainment data sharing in IoVs. However, decentralized data sharing may not achieve the expected efficiency if there are IoV users who only want to consume the shared data but are not willing to …

Conditioned stochastic stability of equilibrium states on uniformly expanding repellers
Bernat Bassols Cornudella, Matheus Manzatto de Castro, Jeroen S. W. Lamb
https://arxiv.org/abs/2405.01343

Conditioned stochastic stability of equilibrium states on uniformly expanding repellers
We propose a notion of conditioned stochastic stability of invariant measures on repellers: we consider whether quasi-ergodic measures of absorbing Markov processes, generated by random perturbations of the deterministic dynamics and conditioned upon survival in a neighbourhood of a repeller, converge to an invariant measure in the zero-noise limit. Under suitable choices of the random perturbation, we find that equilibrium states on uniformly expanding repellers are conditioned stochastically …

A Mean Field Game Model for Timely Computation in Edge Computing Systems
Shubham Aggarwal, Muhammad Aneeq uz Zaman, Melih Bastopcu, Sennur Ulukus, Tamer Ba\c{s}ar
https://arxiv.org/abs/2404.02898

A Mean Field Game Model for Timely Computation in Edge Computing Systems
We consider the problem of task offloading in multi-access edge computing (MEC) systems constituting $N$ devices assisted by an edge server (ES), where the devices can split task execution between a local processor and the ES. Since the local task execution and communication with the ES both consume power, each device must judiciously choose between the two. We model the problem as a large population non-cooperative game among the $N$ devices. Since computation of an equilibrium in this scenari…

LQ Control of Traffic Flow Models via Variable Speed Limits
Brian Block, Stephanie Stockar
https://arxiv.org/abs/2403.02507 https://a…

LQ Control of Traffic Flow Models via Variable Speed Limits
In this paper, an extension of a linear control design for hyperbolic linear partial differential equations is presented for a first-order traffic flow model. Starting from the Lighthill-Whitham-Richards (LWR) model, variable speed limit control (VSL) is applied through a modification of Greenshield's equilibrium flow model. Then, an optimal linear quadratic (LQ) controller is designed on the linear LWR model. The LQ state feedback function is found via the solution of a Riccati differential eq…

This https://arxiv.org/abs/2209.14128 has been replaced.
link: https://scholar.google.com/scholar?q=a

Generalizing Liquid Democracy to multi-agent delegation: A Voting Power Measure and Equilibrium Analysis
In this study, we propose a generalization of the classic model of liquid democracy that allows fractional delegation of voting weight, while simultaneously allowing for the existence of equilibrium states. Our approach empowers agents to partition and delegate their votes to multiple representatives, all while retaining a fraction of the voting power for themselves. We introduce a penalty mechanism for the length of delegation chains. We discuss the desirable properties of a reasonable general…

This https://arxiv.org/abs/2402.10261 has been replaced.
initial toot: https://mastoxiv.page/@…

Liouvillian skin effects and fragmented condensates in an integrable dissipative Bose-Hubbard model
Strongly interacting non-equilibrium systems are of great fundamental interest, yet their inherent complexity make then notoriously hard to analyze. We demonstrate that the dynamics of the Bose-Hubbard model, which by itself evades solvability, can be solved exactly at any interaction strength in the presence of loss tuned to a rate matching the hopping amplitude. Remarkably, the full solvability of the corresponding Liouvillian, and the integrability of the pertinent effective non-Hermitian Ha…

Percolation of nonequilibrium assemblies of colloidal particles in active chiral liquids
Pragya Kushwaha, Sayan Maity, Anjaly S. Menon, Raghunath Chelakkot, Vijayakumar Chikkadi
https://arxiv.org/abs/2403.02423

Percolation of nonequilibrium assemblies of colloidal particles in active chiral liquids
The growing interest in the non-equilibrium assembly of colloidal particles in active liquids is driven by the motivation to create novel structures endowed with tunable properties unattainable within the confines of equilibrium systems. Here, we present an experimental investigation of the structural features of colloidal assemblies in active liquids of chiral E. coli. The colloidal particles form dynamic clusters due to the effective interaction mediated by active media. The activity and chir…

Imbalanced Data Clustering using Equilibrium K-Means
Yudong He
https://arxiv.org/abs/2402.14490 https://arxiv.org/pdf/2402.14490

Imbalanced Data Clustering using Equilibrium K-Means
Imbalanced data, characterized by an unequal distribution of data points across different clusters, poses a challenge for traditional hard and fuzzy clustering algorithms, such as hard K-means (HKM, or Lloyd's algorithm) and fuzzy K-means (FKM, or Bezdek's algorithm). This paper introduces equilibrium K-means (EKM), a novel and simple K-means-type algorithm that alternates between just two steps, yielding significantly improved clustering results for imbalanced data by reducing the tendency of …

Out of Time Order Correlation of the Hubbard Model with Random Local Disorder
Chakradhar Rangi, Juana Moreno, Ka-Ming Tam
https://arxiv.org/abs/2403.03214 …

Out of Time Order Correlation of the Hubbard Model with Random Local Disorder
The out of time order correlator (OTOC) serves as a powerful tool for investigating quantum information spreading and chaos in complex systems. We present a method employing non-equilibrium dynamical mean-field theory (DMFT) and coherent potential approximation (CPA) combined with diagrammatic perturbation on the Schwinger-Keldysh contour to calculate the OTOC for correlated fermionic systems subjected to both random disorder and electrons interaction. Our key finding is that random disorder en…

This https://arxiv.org/abs/2112.11008 has been replaced.
link: https://scholar.google.com/scholar?q=a

Inferring nonequilibrium thermodynamics from tilted equilibrium using information-geometric Legendre transform
Nonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in relaxation processes by measuring only a few observables, using additional information obtained from measurements in tilted equilibrium, i.e., equilibrium with external fields applied. Our method is applicable to arbitrary classical stochastic systems, possibly…

It's not that inflation or deflation are bad it's that the rate of change is bad, once it accelerates beyond control it continues to accelerate until the next point of equilibrium is met.
That point is exhaustion of supply or value.
But when that point is stagnation there seems to be no way forward other than a severe constriction of supply of goods and services or a massive injection of available finance for those at the bottom.

This https://arxiv.org/abs/2308.09747 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Pre-equilibrium photons from the early stages of heavy-ion collisions
We use QCD kinetic theory to compute photon production in the chemically equilibrating Quark-Gluon Plasma created in the early stages of high-energy heavy-ion collisions. We do a detailed comparison of pre-equilibrium photon rates to the thermal photon production. We show that the photon spectrum radiated from a hydrodynamic attractor evolution satisfies a simple scaling form in terms of the specific shear viscosity $η/s$ and entropy density $dS/dζ\sim {\scriptstyle \left(Tτ^{1/3}\right)^{3/…

Conditioned stochastic stability of equilibrium states on uniformly expanding repellers
Bernat Bassols Cornudella, Matheus Manzatto de Castro, Jeroen S. W. Lamb
https://arxiv.org/abs/2405.01343

Conditioned stochastic stability of equilibrium states on uniformly expanding repellers
We propose a notion of conditioned stochastic stability of invariant measures on repellers: we consider whether quasi-ergodic measures of absorbing Markov processes, generated by random perturbations of the deterministic dynamics and conditioned upon survival in a neighbourhood of a repeller, converge to an invariant measure in the zero-noise limit. Under suitable choices of the random perturbation, we find that equilibrium states on uniformly expanding repellers are conditioned stochastically …

This https://arxiv.org/abs/2402.08851 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

Cardinal-Utility Matching Markets: The Quest for Envy-Freeness, Pareto-Optimality, and Efficient Computability
Unlike ordinal-utility matching markets, which are well-developed from the viewpoint of both theory and practice, recent insights from a computer science perspective have left cardinal-utility matching markets in a state of flux. The celebrated pricing-based mechanism for one-sided cardinal-utility matching markets due to Hylland and Zeckhauser, which had long eluded efficient algorithms, was finally shown to be intractable; the problem of computing an approximate equilibrium is PPAD-complete. …

Stellarator equilibrium axis-expansion to all orders in distance from the axis for arbitrary plasma beta
W. Sengupta, E. Rodriguez, R. Jorge, M. Landreman A. Bhattacharjee
https://arxiv.org/abs/2402.17034

Stellarator equilibrium axis-expansion to all orders in distance from the axis for arbitrary plasma beta
A systematic theory of the asymptotic expansion of the magnetohydrodynamic (MHD) equilibrium in the distance from the magnetic axis is developed to include arbitrary smooth currents near the magnetic axis. Compared to the vacuum and the force-free system, an additional magnetic differential equation must be solved to obtain the pressure-driven currents. It is shown that there exist variables in which the rest of the MHD system closely mimics the vacuum system. Thus, a unified treatment of MHD f…

On the derivation of the linear Boltzmann equation from the nonideal Rayleigh gas
Florent Thomas Foug\`eres
https://arxiv.org/abs/2404.03266 https://

On the derivation of the linear Boltzmann equation from the nonideal Rayleigh gas
This paper's objective is to improve the existing proof of the derivation of the Rayleigh--Boltzmann equation from the nonideal Rayleigh gas [6], yielding a far faster convergence rate. This equation is a linear version of the Boltzmann equation, describing the behavior of a small fraction of tagged particles having been perturbed from thermodynamic equilibrium. This linear equation, derived from the microscopic Newton laws as suggested by the Hilbert's sixth problem, is much better understood …

This https://arxiv.org/abs/2306.15761 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

MHD Simulation in Galactic Center Region with Radiative Cooling and Heating
We investigate the role of magnetic field on the gas dynamics in a galactic bulge region by three dimensional simulations with radiative cooling and heating. While high-temperature corona with $T>10^6\ {\rm K}$ is formed in the halo regions, the temperature near the mid-plane is $\lesssim 10^4\ {\rm K}$ following the thermal equilibrium curve determined by the radiative cooling and heating. Although the thermal energy of the interstellar gas is lost by radiative cooling, the saturation level of…

This https://arxiv.org/abs/2401.15618 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Horizons and Null Infinity: A Fugue in 4 voices
Black hole horizons in equilibrium and null infinity of asymptotically flat space-times are null 3-manifolds but have very different physical connotations. We first show that they share a large number of geometric properties, making them both weakly isolated horizons. We then use this new unified perspective to unravel the origin of the drastic differences in the physics they contain. Interestingly, the themes are woven together in a manner reminiscent of voices in a fugue.

Non-equilibrium carrier dynamics and band structure of graphene on 2D tin
Maria-Elisabeth Federl, Niklas Witt, Biao Yang, Niklas Hofmann, Johannes Gradl, Leonard Weigl, Ignacio Piquero-Zulaica, Johannes V. Barth, Neeraj Mishra, Camilla Coletti, Tim O. Wehling, Isabella Gierz
https://arxiv.org/abs/2405.01075

Non-equilibrium carrier dynamics and band structure of graphene on 2D tin
Intercalation of epitaxial graphene on SiC(0001) with Sn results in a well-ordered 2D metallic Sn phase with a $(1\times1)$ structure at the interface between SiC substrate and quasi-freestanding graphene. The 2D\,Sn phase exhibits exotic electronic properties with Dirac-like and flat bands coexisting close to the Fermi level that exhibit both Zeeman- and Rashba-type spin splittings. Possible inter-layer interactions between the 2D\,Sn layer and graphene that may result in emerging electronic p…

This https://arxiv.org/abs/2308.09747 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Pre-equilibrium photons from the early stages of heavy-ion collisions
We use QCD kinetic theory to compute photon production in the chemically equilibrating Quark-Gluon Plasma created in the early stages of high-energy heavy-ion collisions. We do a detailed comparison of pre-equilibrium photon rates to the thermal photon production. We show that the photon spectrum radiated from a hydrodynamic attractor evolution satisfies a simple scaling form in terms of the specific shear viscosity $η/s$ and entropy density $dS/dζ\sim {\scriptstyle \left(Tτ^{1/3}\right)^{3/…

Emergent Elastic Surfaces from Two-Dimensional Dirac Materials
Pablo A. Morales, Pavel Castro-Villareal
https://arxiv.org/abs/2404.02741 https://

Emergent Elastic Surfaces from Two-Dimensional Dirac Materials
Temperature constraints are highly desirable in the experimental setup when seeking the synthesis of new carbon structures. Fluctuations of the Dirac field result in temperature-dependent corrections to the Helfrich-Canham formulation, which governs the classical elasticity of the membrane in equilibrium state. Here, we examine the emergent shapes allowed by the effective model up to quadratic order in Ricci curvature and discuss the constraints required to observe them. We determine the mechan…

This https://arxiv.org/abs/2401.10916 has been replaced.
initial toot: https://mastoxiv.page/@a…

Thermodynamics and Kinetics of Silicate Glasses submitted to Binary Ion Exchange: Equilibrium Conditions and Interdiffusion Kinetics
Ion exchange processes between an ion reservoir and a solid matrix are modeled under the assumption that near interface volumes reach equilibrium in a much faster time than the overall ion exchange process time while, in the bulk of the solid matrix, ions are transported by an interdiffusion kinetic process. Ion exchange equilibrium conditions are initially established according to classical thermodynamics. The result is defined in terms of the chemical potentials of exchanging ionic species. T…

This https://arxiv.org/abs/2403.02169 has been replaced.
link: https://scholar.google.com/scholar?q=a

Stoichiometric Rays: A simple method to compute the controllable set of enzymatic reaction systems
A simple method to compute the controllable set of chemical reaction systems with enzyme concentrations as the control parameters is presented. The method features the fact that the catalyst enhances the reaction rate while not changing the equilibrium, and it enables the efficient computation of the global controllability of linear- and nonlinear models. The method is applied to the reversible Brusselator and the toy model of cellular metabolism. With the metabolism model, we show that the sto…

High angular momentum hot differentially rotating equilibrium star evolutions in conformally flat spacetime
Patrick Chi-Kit Cheong, Nishad Muhammed, Pavan Chawhan, Matthew D. Duez, Francois Foucart
https://arxiv.org/abs/2402.18529

High angular momentum hot differentially rotating equilibrium star evolutions in conformally flat spacetime
The conformal flatness approximation to the Einstein equations has been successfully used in many astrophysical applications such as initial data constructions and dynamical simulations. Although it has been shown that full general relativistic strongly differentially rotating equilibrium models deviate by at most a few percents from their conformally flat counterparts, whether those solutions share the same dynamical stabilities has not been fully addressed. To further understand the limitatio…

This https://arxiv.org/abs/2208.03406 has been replaced.
link: https://scholar.google.com/scholar?q=a

Multilinear formulations for computing Nash equilibrium of multi-player matrix games
We present multilinear and mixed-integer multilinear programs to find a Nash equilibrium in multi-player noncooperative games. We compare the formulations to common algorithms in Gambit, and conclude that a multilinear feasibility program finds a Nash equilibrium faster than any of the methods we compare it to, including the quantal response equilibrium method, which is recommended for large games. Hence, the multilinear feasibility program is an alternative method to find a Nash equilibrium in…

A Membrane Computing Approach to the Generalized Nash Equilibrium
Alejandro Luque-Cerpa, Miguel A. Guti\'errez-Naranjo
https://arxiv.org/abs/2404.17671

A Membrane Computing Approach to the Generalized Nash Equilibrium
In Evolutionary Game Theory (EGT), a population reaches a Nash equilibrium when none of the agents can improve its objective by solely changing its strategy on its own. Roughly speaking, this equilibrium is a protection against betrayal. Generalized Nash Equilibrium (GNE) is a more complex version of this idea with important implications in real-life problems in economics, wireless communication, the electricity market, or engineering among other areas. In this paper, we propose a first approac…

This https://arxiv.org/abs/2209.14128 has been replaced.
link: https://scholar.google.com/scholar?q=a

Generalizing Liquid Democracy to multi-agent delegation: A Voting Power Measure and Equilibrium Analysis
In this study, we propose a generalization of the classic model of liquid democracy that allows fractional delegation of voting weight, while simultaneously allowing for the existence of equilibrium states. Our approach empowers agents to partition and delegate their votes to multiple representatives, all while retaining a fraction of the voting power for themselves. We introduce a penalty mechanism for the length of delegation chains. We discuss the desirable properties of a reasonable general…

Non-Equilibrium Oscillations Arising in Thermally Induced Convective Systems through Homodyne Dynamic Light Scattering
Jos\'e L\'opez-Molina, Arturo Moncho-Jord\'a, Mar\'ia Tirado-Miranda
https://arxiv.org/abs/2404.02217

Non-Equilibrium Oscillations Arising in Thermally Induced Convective Systems through Homodyne Dynamic Light Scattering
We use Homodyne Dynamic Light Scattering (HDLS) with a dual-laser beam setup to investigate the drift velocities of colloidal particles immersed in a solvent exposed to thermally-induced convection. Our investigation reveals the appearance of oscillations of a well-defined frequency in the intensity autocorrelation function, which are linked to the particle drift velocities. In addition to this non-equilibrium oscillations, we report an enhanced decay of the intensity correlation function attri…

This https://arxiv.org/abs/2403.01537 has been replaced.
link: https://scholar.google.com/scholar?q=a

Mixed-Strategy Nash Equilibrium for Crowd Navigation
We address the problem of finding mixed-strategy Nash equilibrium for crowd navigation. Mixed-strategy Nash equilibrium provides a rigorous model for the robot to anticipate uncertain yet cooperative human behavior in crowds, but the computation cost is often too high for scalable and real-time decision-making. Here we prove that a simple iterative Bayesian updating scheme converges to the Nash equilibrium of a mixed-strategy social navigation game. Furthermore, we propose a data-driven framewo…

This https://arxiv.org/abs/2306.00066 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Observing dynamical phases of BCS superconductors in a cavity QED simulator
In conventional Bardeen-Cooper-Schrieffer (BCS) superconductors, electrons with opposite momenta bind into Cooper pairs due to an attractive interaction mediated by phonons in the material. While superconductivity naturally emerges at thermal equilibrium, it can also emerge out of equilibrium when the system's parameters are abruptly changed. The resulting out-of-equilibrium phases are predicted to occur in real materials and ultracold fermionic atoms but have not yet all been directly observed…

Local number fluctuations in ordered and disordered phases of water across temperatures: Higher-order moments and degrees of tetrahedrality
Michael A. Klatt, Jaeuk Kim, Thomas E. Gartner III, Salvatore Torquato
https://arxiv.org/abs/2405.02271

Local number fluctuations in ordered and disordered phases of water across temperatures: Higher-order moments and degrees of tetrahedrality
The isothermal compressibility (i.e., the asymptotic number variance) of equilibrium liquid water as a function of temperature is minimal near ambient conditions. This anomalous non-monotonic temperature dependence is due to a balance between thermal fluctuations and the formation of tetrahedral hydrogen-bond networks. Since tetrahedrality is a many-body property, it will also influence the higher-order moments of density fluctuations, including the skewness and kurtosis. To gain a more complet…

Extended Donnan model for ion partitioning in charged nanopores
R. Wang, M. Elimelech, P. M. Biesheuvel
https://arxiv.org/abs/2403.02796 https://

Extended Donnan model for ion partitioning in charged nanopores
Membranes consist of pores and the walls of these pores are often charged. In contact with an aqueous solution, the pores fill with water and ions migrate from solution into the pores until chemical equilibrium is reached. The distribution of ions between outside and pore solution is governed by a balance of chemical potential, and the resulting model is called a Donnan theory, or Donnan equation. Including a partitioning coefficient that does not depend on salt concentration results in an exte…

Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
Jose Soto Garcia, Natalia Chepiga
https://arxiv.org/abs/2403.03081

Resolving chiral transitions in Rydberg arrays with quantum Kibble-Zurek mechanism and finite-time scaling
The experimental realization of the quantum Kibble-Zurek mechanism in arrays of trapped Rydberg atoms has brought the problem of commensurate-incommensurate transition back into the focus of active research. Relying on equilibrium simulations of finite intervals, direct chiral transitions at the boundary of the period-3 and period-4 phases have been predicted. Here, we study how these chiral transitions can be diagnosed experimentally with critical dynamics. We demonstrate that chiral transitio…

This https://arxiv.org/abs/2312.16212 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Time Scales in Many-Body Fast Neutrino Flavor Conversion
Time scales associated with many-body fast neutrino flavor conversions in core-collapse supernova are explored in the context of an effective two-flavor model with axial symmetry. We present a preliminary study of time scales obtained from a linear stability analysis and from the distributions of Loschmidt echo crossing times (intimately connected to dynamical phase transitions in non-equilibrium systems) determined by time evolution with the exact many-body Hamiltonian. Starting from a tensor-…

This https://arxiv.org/abs/2312.11892 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Thermalization and Annihilation of Dark Matter in Neutron Stars
The capture of dark matter, and its subsequent annihilation, can heat old, isolated neutron stars. In order for kinetic heating to be achieved, the captured dark matter must undergo sufficient scattering to deposit its kinetic energy in the star. We find that this energy deposit typically occurs quickly, for most of the relevant parameter space. In order for appreciable annihilation heating to also be achieved, the dark matter must reach a state of capture-annihilation equilibrium in the star. …

Proof of Sampling: A Nash Equilibrium-Secured Verification Protocol for Decentralized Systems
Yue Zhang, Shouqiao Wang, Xiaoyuan Liu, Sijun Tan, Raluca Ada Popa, Ciamac C. Moallemi
https://arxiv.org/abs/2405.00295

Proof of Sampling: A Nash Equilibrium-Secured Verification Protocol for Decentralized Systems
This paper presents a secure and versatile sampling-based verification protocol, Proof of Sampling (PoSP) protocol, suitable for a wide range of decentralized applications. Our protocol has a pure strategy Nash Equilibrium, which compels rational participants to act honestly, thus fortifying the network's integrity. This design effectively eliminates the possibility of free-riding, achieving this with manageable computational overhead. When applied to decentralized inference for AI applications…

Agent-based Modelling of Quantum Prisoner's Dilemma
Rajdeep Tah, Colin Benjamin
https://arxiv.org/abs/2404.02216 https://arxiv.or…

Agent-based Modelling of Quantum Prisoner's Dilemma
What happens when an infinite number of players play a quantum game? In this paper, we will answer this question by looking at the emergence of cooperation in the presence of noise in a one-shot quantum Prisoner's dilemma (QuPD). We will use the numerical Agent-based model (ABM) and compare it with the analytical Nash equilibrium mapping (NEM) technique. To measure cooperation, we consider five indicators, i.e., game magnetization, entanglement susceptibility, correlation, player's payoff avera…

This https://arxiv.org/abs/2208.03406 has been replaced.
link: https://scholar.google.com/scholar?q=a

Multilinear formulations for computing Nash equilibrium of multi-player matrix games
We present multilinear and mixed-integer multilinear programs to find a Nash equilibrium in multi-player noncooperative games. We compare the formulations to common algorithms in Gambit, and conclude that a multilinear feasibility program finds a Nash equilibrium faster than any of the methods we compare it to, including the quantal response equilibrium method, which is recommended for large games. Hence, the multilinear feasibility program is an alternative method to find a Nash equilibrium in…

Equilibrium and Non-Equilibrium Molecular Dynamics Simulation of Thermo-Osmosis: Enhanced Effects on Polarized Graphene Surfaces
Mehdi Ouadfel (ILM), Samy Merabia (ILM), Yasutaka Yamaguchi (ILM), Laurent Joly (ILM)
https://arxiv.org/abs/2404.01708

Equilibrium and Non-Equilibrium Molecular Dynamics Simulation of Thermo-Osmosis: Enhanced Effects on Polarized Graphene Surfaces
Thermo-osmotic flows, generated by applying a thermal gradient along a liquid-solid interface, could be harnessed to convert waste heat into electricity. While this phenomenon has been known for almost a century, there is a crucial need to gain a better understanding of the molecular origins of thermo-osmosis. In this paper, we start by detailing the multiple contributions to thermo-osmosis. We then showcase three approaches to compute the thermo-osmotic coefficient using molecular dynamics; a …

Role of long jumps in L\'evy noise induced multimodality
Przemys{\l}aw Pogorzelec, Bart{\l}omiej Dybiec
https://arxiv.org/abs/2403.02952 https://

Role of long jumps in Lévy noise induced multimodality
Lévy noise is a paradigmatic noise used to describe out-of-equilibrium systems. Typically, properties of Lévy noise driven systems are very different from their Gaussian white noise driven counterparts. In particular, under action of Lévy noise, stationary states in single-well, super-harmonic, potentials are no longer unimodal. Typically, they are bimodal however for fine-tuned potentials the number of modes can be further increased. The multimodality arises as a consequence of the competit…

Hydrostatic equilibrium configurations of neutron stars in the $f(R,\mathcal{L},T)$ gravity theory
J. A. S. Fortunato, P. H. R. S. Moraes, E. Brito, J. G. de Lima J\'unior, T. S. Guerini
https://arxiv.org/abs/2402.15395

Hydrostatic equilibrium configurations of neutron stars in the $f(R,\mathcal{L},T)$ gravity theory
In the present work, we obtain the hydrostatic equilibrium configurations of neutron stars in the recently proposed $f(R,\mathcal{L},T)$ theory of gravity, for which $R$ is the Ricci scalar, $\mathcal{L}$ is the matter lagrangian density, $T$ is the trace of the energy-momentum tensor and $f$ is a function of the argument. This theory emerges in the present literature as a generalized geometry-matter coupling theory of gravity. We derive the Tolman-Oppenheimer-Volkoff-like equation for a partic…

This https://arxiv.org/abs/2202.04573 has been replaced.
link: https://scholar.google.com/scholar?q=a

On the Uniqueness and Stability of the Equilibrium Price in Quasi-Linear Economies
In this paper, we show that if every consumer in an economy has a quasi-linear utility function, then the normalized equilibrium price is unique, and it is locally stable with respect to the tâtonnement process. If the dimension of the consumption space is two, then this result can be expressed by the corresponding partial equilibrium model. Our study can be seen as that extends the results in partial equilibrium theory to economies with more than two dimensional consumption space.

This https://arxiv.org/abs/2312.16212 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nuc…

Time Scales in Many-Body Fast Neutrino Flavor Conversion
Time scales associated with many-body fast neutrino flavor conversions in core-collapse supernova are explored in the context of an effective two-flavor model with axial symmetry. We present a preliminary study of time scales obtained from a linear stability analysis and from the distributions of Loschmidt echo crossing times (intimately connected to dynamical phase transitions in non-equilibrium systems) determined by time evolution with the exact many-body Hamiltonian. Starting from a tensor-…

Analysis of Kernel Mirror Prox for Measure Optimization
Pavel Dvurechensky, Jia-Jie Zhu
https://arxiv.org/abs/2403.00147 https://arxi…

Analysis of Kernel Mirror Prox for Measure Optimization
By choosing a suitable function space as the dual to the non-negative measure cone, we study in a unified framework a class of functional saddle-point optimization problems, which we term the Mixed Functional Nash Equilibrium (MFNE), that underlies several existing machine learning algorithms, such as implicit generative models, distributionally robust optimization (DRO), and Wasserstein barycenters. We model the saddle-point optimization dynamics as an interacting Fisher-Rao-RKHS gradient flow…

The first law of thermodynamics in hydrodynamic steady and unsteady flows
Konrad Gi\.zy\'nski, Karol Makuch, Jan Paczesny, Pawe{\l} \.Zuk, Anna Macio{\l}ek, Robert Ho{\l}yst
https://arxiv.org/abs/2403.00463

The first law of thermodynamics in hydrodynamic steady and unsteady flows
We studied planar compressible flows of ideal gas as models of a non-equilibrium thermodynamic system. We demonstrate that internal energy $U(S^{*},V,N)$ of such systems in stationary and non-stationary states is the function of only three parameters of state, i.e. non-equilibrium entropy $S^{*}$, volume $V$ and number of particles $N$ in the system. Upon transition between different states, the system obeys the first thermodynamic law, i.e. $dU=T^{*}dS^{*}-p^{*}dV+μ^{*}dN$, where $U=3/2 NRT^{…

Bloch-Floquet band gaps for water waves over a periodic bottom
Christophe Lacave, Matthieu M\'enard, Catherine Sulem
https://arxiv.org/abs/2403.00114 h…

Bloch-Floquet band gaps for water waves over a periodic bottom
A central object in the analysis of the water wave problem is the Dirichlet-Neumann operator. This paper is devoted to the study of its spectrum in the context of the water wave system linearized near equilibrium in a domain with a variable bottom, assumed to be a $C^2$ periodic function. We use the analyticity of the Dirichlet-Neumann operator with respect to the bottom variation and combine it with general properties of elliptic systems and spectral theory for self-adjoint operators to develo…

This https://arxiv.org/abs/2402.18622 has been replaced.
initial toot: https://mastoxiv.page/@…

Unifying Finite-Temperature Dynamical and Excited-State Quantum Phase Transitions
In recent years, various notions of dynamical phase transitions have emerged to describe far-from-equilibrium criticality. A unifying framework connecting these different concepts is still missing, and would provide significant progress towards understanding far-from-equilibrium quantum many-body universality. Initializing our system in a thermal ensemble and subsequently performing quantum quenches in the Lipkin-Meshkov-Glick model, we establish a direct connection between excited-state quantu…

An Equilibrium Analysis of the Arad-Rubinstein Game
Christian Ewerhart, Stanis{\l}aw Ka\'zmierowski
https://arxiv.org/abs/2403.17139 https://

An Equilibrium Analysis of the Arad-Rubinstein Game
Colonel Blotto games with discrete strategy spaces effectively illus- trate the intricate nature of multidimensional strategic reasoning. This paper studies the equilibrium set of such games where, in line with prior experimental work, the tie-breaking rule is allowed to be flexible. We begin by pointing out that equilibrium constructions known from the literature extend to our class of games. However, we also note that, irrespective of the tie-breaking rule, the equilibrium set is excessively …

Fractional Order Sunflower Equation: Stability, Bifurcation and Chaos
Deepa Gupta, Sachin Bhalekar
https://arxiv.org/abs/2404.17321 https://

Fractional Order Sunflower Equation: Stability, Bifurcation and Chaos
The sunflower equation describes the motion of the tip of a plant due to the auxin transportation under the influence of gravity. This work proposes the fractional-order generalization to this delay differential equation. The equation contains two fractional orders and infinitely many equilibrium points. The coefficients in the linearized equation near the equilibrium points are delay-dependent. We provide a detailed stability analysis of each equilibrium point. We observed the following bifurc…

This https://arxiv.org/abs/2404.02426 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Equilibrium in Style: A Modeling Framework on the Cash Flow and the Life Cycle of a Consumer Store
The consumer store is ubiquitous and plays an important role in our everyday lives. It is an open question why stores usually have such short life cycles (typically around 3 years in China). This paper proposes a theoretical framework based on an equilibrium in style supply of stores and style demand of consumers to characterize store cash flow (revenue), leading to a strong explanation of this puzzle. In our model, we derive that the preference shifting of consumers is the main reason for the …

This https://arxiv.org/abs/2211.02644 has been replaced.
link: https://scholar.google.com/scholar?q=a

Strong Casimir-like Forces in Flocking Active Matter
Confining in space the equilibrium fluctuations of statistical systems with long-range correlations is known to result into effective forces on the boundaries. Here we demonstrate the occurrence of Casimir-like forces in the non-equilibrium context provided by flocking active matter. In particular, we consider a system of aligning self-propelled particles in two spatial dimensions, which are transversally confined by reflecting or partially reflecting walls. We show that in the ordered flocking…

This https://arxiv.org/abs/2309.13502 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Globally Solving a Class of Bilevel Programs with Spatial Price Equilibrium Constraints
Bilevel programs with spatial price equilibrium constraints are strategic models that consider a price competition at the lower-level. These models find application in facility location-price models, optimal bidding in power networks, and integration of renewable energy sources in distribution networks. In this paper, for the case where the equilibrium at the lower level can be formulated as an optimization problem, we introduce an enhanced single-level formulation based on duality and show tha…

Mixed Strategy Constraints in Continuous Games
Mel Krusniak, Forrest Laine
https://arxiv.org/abs/2402.17874 https://arxiv.org/pdf/240…

Mixed Strategy Constraints in Continuous Games
Equilibrium problems representing interaction in physical environments typically require continuous strategies which satisfy opponent-dependent constraints, such as those modeling collision avoidance. However, as with finite games, mixed strategies are often desired, both from an equilibrium existence perspective as well as a competitive perspective. To that end, this work investigates a chance-constraint-based approach to coupled constraints in generalized Nash equilibrium problems which are s…

This https://arxiv.org/abs/2310.05554 has been replaced.
link: https://scholar.google.com/scholar?q=a

Collective motion in a sheet of microswimmers
Self-propelled micron-size particles suspended in a fluid, like bacteria or synthetic microswimmers, are strongly non-equilibrium systems where particle motility breaks the microscopic detailed balance, often resulting in large-scale collective motion. Previous theoretical work has identified long-range hydrodynamic interactions as the main driver of collective motion in unbounded dilute suspension of rear-actuated ("pusher") microswimmers. In contrast, most experimental studies of collective m…

This https://arxiv.org/abs/2309.06567 has been replaced.
initial toot: https://mastoxiv.page/@…

Equilibrium with coordinate dependent diffusion: Comparison of different stochastic processes
We show that, simultaneous local scaling of coordinate and time keeping the velocity unaltered is a symmetry of an Itô-process. Using this symmetry, any Itô-process can be mapped to a universal additive Gaussian-noise form. We use this mapping to separate the canonical and micro-canonical part of stochastic dynamics of a Brownian particle undergoing coordinate dependent diffusion. We identify the equilibrium distribution of the system and associated entropy induced by coordinate dependence of…

This https://arxiv.org/abs/2403.17139 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

An Equilibrium Analysis of the Arad-Rubinstein Game
Colonel Blotto games with discrete strategy spaces effectively illus- trate the intricate nature of multidimensional strategic reasoning. This paper studies the equilibrium set of such games where, in line with prior experimental work, the tie-breaking rule is allowed to be flexible. We begin by pointing out that equilibrium constructions known from the literature extend to our class of games. However, we also note that, irrespective of the tie-breaking rule, the equilibrium set is excessively …

Irreversibility of mesoscopic processes with hydrodynamic interactions
Biswajit Das, Sreekanth K Manikandan, Shuvojit Paul, Avijit Kundu, Supriya Krishnamurthy, Ayan Banerjee
https://arxiv.org/abs/2405.00800

Irreversibility of mesoscopic processes with hydrodynamic interactions
Microscopic colloidal particles are often used as probes to study the non-equilibrium activity of living matter or other complex systems. In many of these contexts hydrodynamic interactions between the probe particle and the system of interest play an important role. However little is known about what effect such interactions could have on the overall non-equilibrium characteristics of the system of interest. In this paper, we study two simple models experimentally and theoretically, which demo…

This https://arxiv.org/abs/2309.13024 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Zeroth-Order Federated Methods for Stochastic MPECs and Nondifferentiable Nonconvex Hierarchical Optimization
Motivated by the emergence of federated learning (FL), we design and analyze federated methods for addressing: (i) Nondifferentiable nonconvex optimization; (ii) Bilevel optimization; (iii) Minimax problems; and (iv) Two-stage stochastic mathematical programs with equilibrium constraints (2s-SMPEC). Research on these problems has been limited and afflicted by reliance on strong assumptions, including the need for differentiability of the implicit function and the absence of constraints in the l…

A Model Problem for First Order Mean Field Games with Discrete Initial Data
P. Jameson Graber, Brady Zimmerman
https://arxiv.org/abs/2405.01424 https://

A Model Problem for First Order Mean Field Games with Discrete Initial Data
In this article, we study a simplified version of a density-dependent first-order mean field game, in which the players face a penalization equal to the population density at their final position. We consider the problem of finding an equilibrium when the initial distribution is a discrete measure. We show that the problem becomes finite-dimensional: the final piecewise smooth density is completely determined by the weights and positions of the initial measure. We establish existence and unique…

A Coupled Optimization Framework for Correlated Equilibria in Normal-Form Game
Sarah H. Q. Li, Yue Yu, Florian D\"orfler, John Lygeros
https://arxiv.org/abs/2403.16223

A Coupled Optimization Framework for Correlated Equilibria in Normal-Form Game
In competitive multi-player interactions, simultaneous optimality is a key requirement for establishing strategic equilibria. This property is explicit when the game-theoretic equilibrium is the simultaneously optimal solution of coupled optimization problems. However, no such optimization problems exist for the correlated equilibrium, a strategic equilibrium where the players can correlate their actions. We address the lack of a coupled optimization framework for the correlated equilibrium by …

This https://arxiv.org/abs/2311.11028 has been replaced.
initial toot: https://mastoxiv.page/@…

The non-equilibrium temperature beyond local equilibrium assumption
In this manuscript, we propose a non-equilibrium temperature by a temperature dependent Vlasov equation for the charge particles transport through a environmental reservoir. A new damping force and a inverse damping relaxation time are derived based on the Vlasov equation, which have obvious influence on the external force and the relaxation time of transport particles. The non-equilibrium temperature for the transport particles is defined by their distribution function out of equilibrium, whic…

On some global implicit function theorems for set-valued inclusions with applications to parametric vector optimization
Amos Uderzo
https://arxiv.org/abs/2405.01123

On some global implicit function theorems for set-valued inclusions with applications to parametric vector optimization
The present paper deals with the perturbation analysis of set-valued inclusion problems, a problem format whose relevance has recently emerged in such contexts as robust and vector optimization as well as in vector equilibrium theory. The set-valued inclusions here considered are parameterized by variables belonging to a topological space, with and without constraints. By proper techniques of variational analysis, some qualitative global implicit function theorems are established, which ensure …

This https://arxiv.org/abs/2301.11580 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

A Characterization of Complexity in Public Goods Games
We complete the characterization of the computational complexity of equilibrium in public goods games on graphs. In this model, each vertex represents an agent deciding whether to produce a public good, with utility defined by a "best-response pattern" determining the best response to any number of productive neighbors. We prove that the equilibrium problem is NP-complete for every finite non-monotone best-response pattern. This answers the open problem of [Gilboa and Nisan, 2022], and complete…

Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
Cai Dieball, Alja\v{z} Godec
https://arxiv.org/abs/2403.00048 https…

Thermodynamic bounds on generalized transport: From single-molecule to bulk observables
We prove that the transport of any scalar observable in $d$-dimensional non-equilibrium systems is bounded from above by the total entropy production scaled by the amount the observation "stretches" microscopic coordinates. The result -- a time-integrated generalized speed limit -- reflects the thermodynamic cost of transport of observables, and places underdamped and overdamped stochastic dynamics on equal footing with deterministic motion. Our work allows for stochastic thermodynamics to make…

This https://arxiv.org/abs/2312.00243 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csGT_…

Low Revenue in Display Ad Auctions: Algorithmic Collusion vs. Non-Quasilinear Preferences
The transition of display ad exchanges from second-price to first-price auctions has raised questions about its impact on revenue, but evaluating these changes empirically proves challenging. Automated bidding agents play a significant role in this transition, often employing dynamic strategies that evolve through exploration and exploitation rather than using the static game-theoretical equilibrium strategies. Thus revenue equivalence between first- and second-price auctions might not hold. Re…

This https://arxiv.org/abs/2310.19517 has been replaced.
initial toot: https://mastoxiv.page/@…

Effective interaction between guest charges immersed in 2D jellium
The model under study is an infinite 2D jellium of pointlike particles with elementary charge $e$, interacting via the logarithmic potential and in thermal equilibrium at the inverse temperature $β$. Two cases of the coupling constant $Γ\equiv βe^2$ are considered: the Debye-Hückel limit $Γ\to 0$ and the free-fermion point $Γ=2$. In the most general formulation, two guest particles, the one with charge $q e$ (the valence $q$ being an arbitrary integer) and the hard core of radius $σ>0$ a…

Entropic pulling and diffusion diode
Mayank Sharma, A. Bhattacharyay
https://arxiv.org/abs/2404.02667 https://arxiv.org/pdf/2404.0266…

Entropic pulling and diffusion diode
Biological environments at micrometer scales and below are often crowded, and experience incessant stochastic thermal fluctuations. The presence of membranes/pores, and multiple biological entities in a constricted space can make the damping/diffusion inhomogeneous. This effect of inhomogeneity is presented by the diffusion becoming coordinate-dependent. In this paper, we analyze the consequence of inhomogeneity-induced coordinate-dependent diffusion on Brownian systems in thermal equilibrium u…

Mpemba effect on non-equilibrium active Markov chains
Apurba Biswas, Arnab Pal
https://arxiv.org/abs/2403.17547 https://arxiv.org/pdf…

Mpemba effect on non-equilibrium active Markov chains
We study the Mpemba effect on a non-equilibrium Markov chain that mimics the run and tumble motion of an active particle in a discrete energy landscape. The broken detailed balance, rendered by the activity, gives rise to a unique anomalous relaxation in the system which is distinctly different than the typical equilibrium systems. We observe that the activity can both suppress or induce the Mpemba effect. Furthermore, we report an oscillatory Mpemba effect where the relaxation trajectories, em…