Tootfinder

Origin of pressure-flow non-linearity in two-phase intermittent flow in porous media
Paolo Botticini, Davide Picchi, Santanu Sinha, Alex Hansen
https://arxiv.org/abs/2510.12588 …

Origin of pressure-flow non-linearity in two-phase intermittent flow in porous media
This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary flow theory, we derive a model for a train of elongated bubbles, and rigorously quantify its validity in terms of the dimensionless parameters of the problem (capillary number, number of bubbles, gas volume fraction, and channel length-to-diameter ratio). The …

I’ve been testing a theory: many people who are high on #AI and #LLMs are just new to automation and don’t realize you can automate processes with simple programming, if/then conditions, and API calls with zero AI involved.
So far it’s been working!
Whenever I’ve been asked to make an AI flow or find a way to implement AI in our work with a client, I’ve returned back with an automation flow that uses 0 AI.
Things like “when a new document is added here, add a link to it in this spreadsheet and then create a task in our project management software assigned to X with label Y”.
And the people who were frothing at the mouth at how I must change my mind on AI have (so far) all responded with resounding enthusiasm and excitement.
They think it’s the same thing. They just don’t understand how much automation is possible without any generative tools.

How modern media consumption is converging toward a continuous flow of episodic video, across streaming providers, podcasts, and social media apps (Derek Thompson)
https://www.derekthompson.org/p/why-everything-became-television

Everything Is Television
A theory of culture and attention

Regularity Theory for the Space Homogeneous Polyatomic Boltzmann Flow
Ricardo Alonso, Milana \v{C}oli\'c
https://arxiv.org/abs/2510.10523 https://arxiv…

Regularity Theory for the Space Homogeneous Polyatomic Boltzmann Flow
In this paper, we study the polyatomic Boltzmann equation based on continuous internal energy, focusing on physically relevant collision kernels of the hard potentials type with integrable angular part. We establish three main results: smoothing effects of the gain collision operator, propagation of velocity and internal energy first-order derivatives of solutions, and exponential decay estimates for singularities of the initial data. These results ultimately lead to a decomposition theorem, sh…

How modern media consumption is converging toward a continuous flow of episodic video, across streaming providers, podcasts, and social media apps (Derek Thompson)
https://www.derekthompson.org/p/why-everything-became-television

Everything Is Television
A theory of culture and attention

An Invitation to Obstruction Bundle Gluing Through Morse Flow Lines
Ipsita Datta, Yuan Yao
https://arxiv.org/abs/2510.10393 https://arxiv.org/pdf/2510.1039…

An Invitation to Obstruction Bundle Gluing Through Morse Flow Lines
We adapt "Obstruction Bundle Gluing (OBG)" techniques from Hutchings and Taubes (arxiv: 0701300, 0705.2074) to Morse theory. We consider Morse function-metric pairs with gradient flowlines that have nontrivial yet well-controlled cokernels (i.e., the gradient flowlines are not transversely cut out). We investigate (i) whether these nontransverse gradient flowlines can be glued to other gradient flowlines and (ii) the bifurcation of gradient flowlines after we perturb the metric to be Morse-Smal…

Weight Initialization and Variance Dynamics in Deep Neural Networks and Large Language Models
Yankun Han
https://arxiv.org/abs/2510.09423 https://arxiv.org…

Weight Initialization and Variance Dynamics in Deep Neural Networks and Large Language Models
Weight initialization governs signal propagation and gradient flow at the start of training. This paper offers a theory-grounded and empirically validated study across two regimes: compact ReLU multilayer perceptrons and GPT-2-style transformers. First, a logarithmic sweep of the initial standard deviation maps vanishing and exploding regimes and identifies a broad stability band with standard deviations between 1e-2 and 1e-1. Second, a controlled comparison shows that Kaiming (fan-in) initiali…

On the universal content of the proper time flow in scalar and Yang-Mills theories
Gabriele Giacometti, Daniele Rizzo, Dario Zappala
https://arxiv.org/abs/2510.04896 https://

On the universal content of the proper time flow in scalar and Yang-Mills theories
We investigate the perturbative structure of the proper time renormalization group flow in scalar and Yang-Mills theories. Although the PT flow does not belong to the class of exact functional renormalization group equations, we show that it correctly reproduces the universal coefficients of the $β$-functions at one and two loops. For the ${\rm O(N)}$ scalar theory, we derive the one- and two-loop contributions to the running quartic coupling and also confirm the expected anomalous dimension. …

On the maximum bound principle and energy dissipation of exponential time differencing methods for the chiral liquid crystal blue phases
Wenshuai Hu, Guanghua Ji
https://arxiv.org/abs/2510.12499

On the maximum bound principle and energy dissipation of exponential time differencing methods for the chiral liquid crystal blue phases
The blue phases are fascinating and complex states of chiral liquid crystals which can be modeled by a comprehensive framework of the Landau-de theory, satisfying energy dissipation and maximum bound principle. In this paper, we develop and analyze first and second order exponential time differencing numerical schemes for the gradient flow of the chiral liquid crystal blue phases, which preserve the maximum bound principle and energy dissipation unconditionally at the semi-discrete level. T…

Mean curvature flow through singularities
Robert Haslhofer
https://arxiv.org/abs/2510.01355 https://arxiv.org/pdf/2510.01355…

Mean curvature flow through singularities
We first give a general introduction to the mean curvature flow, and then discuss fundamental results established over the last 10 years that yield a precise theory for the flow through singularities in $\mathbb{R}^3$. With the aim of developing a satisfying theory in higher dimensions, we then describe our recent classification of all noncollapsed singularities in $\mathbb{R}^4$. Finally, we provide a detailed discussion of open problems and conjectures.

Spectral Flow Learning Theory: Finite-Sample Guarantees for Vector-Field Identification
Chi Ho Leung, Philip E. Par\'e
https://arxiv.org/abs/2509.25000 https://

Spectral Flow Learning Theory: Finite-Sample Guarantees for Vector-Field Identification
We study the identification of continuous-time vector fields from irregularly sampled trajectories. We introduce Spectral Flow Learning (SFL), which learns in a windowed flow space using a lag-linear label operator that aggregates lagged Koopman actions. We provide finite-sample high-probability (FS-HP) guarantees for the class of variable-step linear multistep methods (vLLM). The FS-HP rates are constructed using spectral regularization with qualification-controlled filters for flow predictors…

Electromagnetic Observables of Weakly Collisional Black Hole Accretion
Vedant Dhruv, Ben Prather, Mani Chandra, Abhishek V. Joshi, Charles F. Gammie
https://arxiv.org/abs/2510.11365

Electromagnetic Observables of Weakly Collisional Black Hole Accretion
The black holes in the Event Horizon Telescope sources Messier 87* and Sagittarius A* (SgrA*) are embedded in a hot, collisionless plasma that is fully described in kinetic theory yet is usually modeled as an ideal, magnetized fluid. In this Letter, we present results from a new set of weakly collisional fluid simulations in which leading order kinetic effects are modeled as viscosity and heat conduction. Consistent with earlier, lower-resolution studies, we find that overall flow dynamics rema…

Preserving Core Structures of Social Networks via Information Guided Multi-Step Graph Pruning
Yutong Hu, Bingxin Zhou, Jing Wang, Weishu Zhao, Liang Hong
https://arxiv.org/abs/2510.10499

Preserving Core Structures of Social Networks via Information Guided Multi-Step Graph Pruning
Social networks often contain dense and overlapping connections that obscure their essential interaction patterns, making analysis and interpretation challenging. Identifying the structural backbone of such networks is crucial for understanding community organization, information flow, and functional relationships. This study introduces a multi-step network pruning framework that leverages principles from information theory to balance structural complexity and task-relevant information. The fra…

Precise Dynamics of Diagonal Linear Networks: A Unifying Analysis by Dynamical Mean-Field Theory
Sota Nishiyama, Masaaki Imaizumi
https://arxiv.org/abs/2510.01930 https://

Precise Dynamics of Diagonal Linear Networks: A Unifying Analysis by Dynamical Mean-Field Theory
Diagonal linear networks (DLNs) are a tractable model that captures several nontrivial behaviors in neural network training, such as initialization-dependent solutions and incremental learning. These phenomena are typically studied in isolation, leaving the overall dynamics insufficiently understood. In this work, we present a unified analysis of various phenomena in the gradient flow dynamics of DLNs. Using Dynamical Mean-Field Theory (DMFT), we derive a low-dimensional effective process that …

Generalised actuator disk theory: wake development with turbulent entrainment
Majid Bastankhah, Peter E. Hydon, Carl Shapiro, Dennice F. Gayme, Charles Meneveau
https://arxiv.org/abs/2510.08213

Generalised actuator disk theory: wake development with turbulent entrainment
Classical actuator disk theory, developed more than a century ago, provides an idealised description of turbine rotor performance. It treats a rotor as an infinitesimally-thin permeable disk and applies the governing flow equations over a streamtube encompassing the disk. A well-known limitation of the theory is its assumption of ideal flow downstream of the disk, which restricts its applicability to short downwind distances before turbulence and mixing processes governing the wake evolution ta…

From theory to observation: understanding filamentary flows in high-mass star-forming clusters
M. R. A. Wells, R. Pillsworth, H. Beuther, R. E. Pudritz, E. W. Koch
https://arxiv.org/abs/2510.05101

From theory to observation: understanding filamentary flows in high-mass star-forming clusters
Here we use data from multi-scale galactic MHD simulations to observe filaments and star forming clumps on 10's of pc scales and investigate flow rate relationships along, and onto filaments as well as flows towards the clumps. Using the FilFinderPPV identification technique, we identify the prominent filamentary structures in each data cube. Each filament and its corresponding clump are analysed by calculating flow rates along each filament towards the clump, onto each filament from increasing…

Application of deep neural networks for computing the renormalization group flow of the two-dimensional phi^4 field theory
Yueqi Zhao, Michael M. Fogler, Yi-Zhuang You
https://arxiv.org/abs/2510.06508 …

Application of deep neural networks for computing the renormalization group flow of the two-dimensional phi^4 field theory
We introduce RGFlow, a deep neural network-based real-space renormalization group (RG) framework tailored for continuum scalar field theories. Leveraging generative capabilities of flow-based neural networks, RGFlow autonomously learns real-space RG transformations from data without prior knowledge of the underlying model. In contrast to conventional approaches, RGFlow is bijective (information-preserving) and is optimized based on the principle of minimal mutual information. We demonstrate the…

OAT-FM: Optimal Acceleration Transport for Improved Flow Matching
Angxiao Yue, Anqi Dong, Hongteng Xu
https://arxiv.org/abs/2509.24936 https://arxiv.org/pd…

OAT-FM: Optimal Acceleration Transport for Improved Flow Matching
As a powerful technique in generative modeling, Flow Matching (FM) aims to learn velocity fields from noise to data, which is often explained and implemented as solving Optimal Transport (OT) problems. In this study, we bridge FM and the recent theory of Optimal Acceleration Transport (OAT), developing an improved FM method called OAT-FM and exploring its benefits in both theory and practice. In particular, we demonstrate that the straightening objective hidden in existing OT-based FM methods i…

Replaced article(s) found for physics.app-ph. https://arxiv.org/list/physics.app-ph/new
[1/1]:
- Electromagnetic-Field-Based Circuit Theory and Charge-Flux-Flow Diagrams
Yongliang Wang

Error Analysis of Discrete Flow with Generator Matching
Zhengyan Wan, Yidong Ouyang, Qiang Yao, Liyan Xie, Fang Fang, Hongyuan Zha, Guang Cheng
https://arxiv.org/abs/2509.21906 …

Error Analysis of Discrete Flow with Generator Matching
Discrete flow models offer a powerful framework for learning distributions over discrete state spaces and have demonstrated superior performance compared to the discrete diffusion model. However, their convergence properties and error analysis remain largely unexplored. In this work, we develop a unified framework grounded in stochastic calculus theory to systematically investigate the theoretical properties of discrete flow. Specifically, we derive the KL divergence of two path measures regard…

I've been working on a bit of a larger project. It is still very much a work in progress. It's an attempt to combine blog and mastodon posts with other things I've written in the past, along with some original analysis, into a zine. I'm probably about 2/3 of the way through.
It's primarily focused on political theory and critique, which, I think, deviates a bit from how a lot of other folks view the world. It's pretty explicitly anarchist, though I don't think I've actually put the word "anarchism" or referenced the ideology anywhere so explicitly.
I'd love feedback (especially around editing and flow) if anyone would be willing to put eyes on it and tell me what they think:
https://anarchoccultism.org/building-zion/

Infinite-dimensional Lagrange-Dirac systems with boundary energy flow II: Field theories with bundle-valued forms
Fran\c{c}ois Gay-Balmaz, \'Alvaro Rodr\'iguez Abella, Hiroaki Yoshimura
https://arxiv.org/abs/2511.05687 https://arxiv.org/pdf/2511.05687 https://arxiv.org/html/2511.05687
arXiv:2511.05687v1 Announce Type: new
Abstract: Part I of this paper introduced the infinite dimensional Lagrange--Dirac theory for physical systems on the space of differential forms over a smooth manifold with boundary. This approach is particularly well-suited for systems involving energy exchange through the boundary, as it is built upon a restricted dual space -a vector subspace of the topological dual of the configuration space- that captures information about both the interior dynamics and boundary interactions. Consequently, the resulting dynamical equations naturally incorporate boundary energy flow. In this second part, the theory is extended to encompass vector-bundle-valued differential forms and non-Abelian gauge theories. To account for two commonly used forms of energy flux and boundary power densities, we introduce two distinct but equivalent formulations of the restricted dual. The results are derived from both geometric and variational viewpoints and are illustrated through applications to matter and gauge field theories. The interaction between gauge and matter fields is also addressed, along with the associated boundary conditions, applied to the case of the Yang-Mills-Higgs equations.
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Modular theory and symmetry resolution in hyperfinite von Neumann algebras
Giuseppe Di Giulio, Moritz Dorband, Johanna Erdmenger, Henri Scheppach
https://arxiv.org/abs/2510.02441

Modular theory and symmetry resolution in hyperfinite von Neumann algebras
We study modular theory in hyperfinite von Neumann algebras, i.e. in those of type II or type III, from the viewpoint of a subregion charge sector decomposition. We address this symmetry resolution by considering infinite tensor products of finite-dimensional algebras with fixed subregion charge values. An important ingredient is the combination of these algebras using direct integrals. This allows us to obtain the symmetry-resolved modular operator, modular flow, and modular correlation functi…

Approximate mean curvature flows of a general varifold, and their limit spacetime Brakke flow
Blanche Buet, Gian Paolo Leonardi, Simon Masnou, Abdelmouksit Sagueni
https://arxiv.org/abs/2510.00746

Approximate mean curvature flows of a general varifold, and their limit spacetime Brakke flow
We propose a construction of mean curvature flows by approximation for very general initial data, in the spirit of the works of Brakke and of Kim & Tonegawa based on the theory of varifolds. Given a general varifold, we construct by iterated push-forwards an approximate time-discrete mean curvature flow depending on both a given time step and an approximation parameter. We show that, as the time step tends to $0$, this time-discrete flow converges to a unique limit flow, which we call the appro…

High-Energy Evolution of Power-Suppressed Amplitudes
Maximilian Delto, Alexander Penin, Lorenzo Tancredi
https://arxiv.org/abs/2510.04914 https://arxiv.org…

High-Energy Evolution of Power-Suppressed Amplitudes
We present a new class of evolution equations which govern the high-energy behavior of power-suppressed scattering amplitudes. The equations can be viewed as a renormalization group flow with respect to the relevant effective field theory cutoff. A distinct feature of the method is in the use of a multidimensional cutoff to separate the relevant scales in problems characterized by a complex factorization structure. By adjusting the renormalization group variables to the geometry of the effectiv…

A General Theory of Emergent Linearity in Complex Dynamical Systems: The Role of Spatial Averaging and Vanishing Correlations
Sabbir Ahmed, Hafiz Fareed Ahmed, Erfan Nozari
https://arxiv.org/abs/2509.25589

A General Theory of Emergent Linearity in Complex Dynamical Systems: The Role of Spatial Averaging and Vanishing Correlations
Various natural and engineered systems, from urban traffic flow to the human brain, have been described by large-scale networked dynamical systems. Despite their vast differences, these systems are often similar in being comprised of numerous microscopic subsystems with complex nonlinear dynamics and interactions that give rise to diverse emergent macroscopic behaviors. As such, a long-standing question across various fields has been to understand why and how various forms of macroscopic behavi…

The Feynman propagator for massive Klein-Gordon fields on radiative asymptotically flat spacetimes
Mikhail Molodyk, Andr\'as Vasy
https://arxiv.org/abs/2510.04308 https://…

The Feynman propagator for massive Klein-Gordon fields on radiative asymptotically flat spacetimes
On a large class of asymptotically flat spacetimes which includes radiative perturbations of Minkowski space, we define a distinguished global Feynman propagator for massive Klein-Gordon fields by means of the microlocal approach to non-elliptic Fredholm theory, working in the de,sc-pseudodifferential algebra due to Sussman. We extend the limiting absorption principle (the "$i\varepsilon$ prescription" for the Feynman propagator) to this setting. Motivated by the complicated Hamilton flow struc…

Dyson Trace Flow and Dynamic Coupled Semicircle Law
Cong Chen, Yong Li
https://arxiv.org/abs/2509.19871 https://arxiv.org/pdf/2509.19871

Dyson Trace Flow and Dynamic Coupled Semicircle Law
This work introduces a universal framework for analyzing coupled random matrix models, centered around the newly defined Dyson Trace Flow and the Dynamic Coupled Semicircle Law. We derive stochastic differential equations for eigenvalues under asymmetric coupling, establish well-posedness, and prove a large deviation principle with explicit rate functions. The theory is extended to nonlinear and non-reciprocal interactions, revealing phenomena such as exceptional points, bistability, and novel …

Replaced article(s) found for nucl-th. https://arxiv.org/list/nucl-th/new
[1/1]:
- Effect of transverse momentum conservation and flow on symmetric cumulants $sc_{2,3} \left \{ 4 \...
Jia-Lin Pei, Guo-Liang Ma, Adam Bzdak

Comparison of Extended Lubrication Theories for Stokes Flow
Sarah Dennis, Thomas G. Fai
https://arxiv.org/abs/2510.02595 https://arxiv.org/pdf/2510.02595…

Comparison of Extended Lubrication Theories for Stokes Flow
Lubrication theory leverages the assumption of a long and thin fluid domain to formulate a linearized approximation to the Navier-Stokes equations. Models in extended lubrication theory consider relaxations of the thin film assumption, leading to the inclusion of higher order terms. However, such models are sensitive to large surface gradients which lead the assumptions of the model to break down. In this paper, we present a formulation of extended lubrication theory, and compare our models wit…

Traffic jams and driver behavior archetypes
Shawn Berry
https://arxiv.org/abs/2510.04740 https://arxiv.org/pdf/2510.04740

Traffic jams and driver behavior archetypes
Traffic congestion represents a complex urban phenomenon that has been the subject of extensive research employing various modeling techniques grounded in the principles of physics and molecular theory. Although factors such as road design, accidents, weather conditions, and construction activities contribute to traffic congestion, driver behavior and decision-making are primary determinants of traffic flow efficiency. This study introduces a driver behavior archetype model that quantifies the …

Contraction waves in pulsating active liquids: From pacemaker to aster dynamics
Tirthankar Banerjee, Thibault Desaleux, Jonas Ranft, \'Etienne Fodor
https://arxiv.org/abs/2509.19024

Contraction waves in pulsating active liquids: From pacemaker to aster dynamics
We propose a hydrodynamic theory to examine the emergence of contraction waves in dense active liquids composed of pulsating deformable particles. Our theory couples the liquid density with a chemical phase that determines the periodic deformation of the particles. This mechanochemical coupling regulates the interplay between the flow induced by local deformation, and the resistance to pulsation stemming from steric interaction. We show that this interplay leads the emergent contraction waves t…

Verification of Convergent-Divergent Nozzle Designs in Propulsion Aerospace Applications
Noah L. Estrada, Marc A. Cantu, Arturo Rodriguez, Andrew R. Ybarra, Jeffrey H. Farris, Francisco O. Aguirre Ortega, Vineeth Vijaya Kumar, Vinod Kumar
https://arxiv.org/abs/2510.11667

Verification of Convergent-Divergent Nozzle Designs in Propulsion Aerospace Applications
The performance of convergent divergent nozzles plays a critical role in aerospace propulsion systems, where efficient expansion of high-temperature, high-pressure gases directly impacts thrust generation. In this study, we investigate a series of nozzle geometries using numerical simulations performed in ANSYS Fluent, with design parameters guided by classical compressible flow theory, initially developed by Ludwig Prandtl. The governing equations of conservation of mass, momentum, and energy …

Null matter and the ultrarelativistic origin of hydrodynamics at zero temperature
Jay Armas, Emil Have, Gianbattista-Piero Nicosia
https://arxiv.org/abs/2509.25320 https://

Null matter and the ultrarelativistic origin of hydrodynamics at zero temperature
We uncover a universal sector of relativistic fluid dynamics by taking a novel ultrarelativistic limit in which the temperature tends to zero while the flow simultaneously approaches the speed of light. In this regime, hydrodynamics becomes an effective theory of \emph{null matter}, characterised by a preferred null vector, a preferred scale, and their gradients. We show that this theory of null matter constitutes an example of a hydrodynamic theory that can be linearly stable and causal in an …

Hamiltonian flow between standard module Lagrangians
Yujin Tong
https://arxiv.org/abs/2511.06431 https://arxiv.org/pdf/2511.06431 https://arxiv.org/html/2511.06431
arXiv:2511.06431v1 Announce Type: new
Abstract: In Aganagic's Fukaya category of the Coulomb branch of quiver gauge theory, the $T_\theta$-brane algebra gives a symplectic realization of the Khovanov-Lauda-Rouquier-Webster (KLRW) algebra, where each standard module is known to admit two Lagrangian realizations: the 'U'-shaped $T$-brane and the step $I$-brane. We show that the latter arises as the infinite-time limit of the Hamiltonian evolution of the former, thus serving as a generalized thimble. This provides a geometric realization of the categorical isomorphism previously established through holomorphic disc counting.
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Theory space and stability analysis of General Relativistic cosmological solutions in modified gravity
Saikat Chakraborty, Piyabut Burikham
https://arxiv.org/abs/2509.15762 http…

Theory space and stability analysis of General Relativistic cosmological solutions in modified gravity
Some aspects of two General Relativistic cosmological solutions, an exact $Λ$CDM-like cosmological solution $j=1$ ($j$ is cosmographic jerk parameter), and a specifically designed toy cosmological solution $j=1+3\varepsilon(q-1/2)$ ($q$ is cosmographic deceleration parameter, $0<|\varepsilon|<1$) that is capable of accommodating a phantom crossing scenario as suggested by DESI DR2, are studied within the context of $f(R)$ gravity, by portraying them as a \emph{flow} in the 2-dimensio…

Non-Lagrangian phases of matter from Wilsonian renormalization of 3D Wess-Zumino-Witten theory on Stiefel manifolds
Shouryya Ray
https://arxiv.org/abs/2509.18966 https://…

Non-Lagrangian phases of matter from Wilsonian renormalization of 3D Wess-Zumino-Witten theory on Stiefel manifolds
I study the renormalization of D-dimensional level-k Wess-Zumino-Witten theory with Stiefel-manifold target space $\mathrm{St}_{N,N-D-1} \cong \mathrm{SO}(N)/\mathrm{SO}(D+1)$, with a particular focus on $D = 3$. I investigate in particular whether such a theory admits IR-stable fixed points of the renormalization group flow. Such fixed points have been suggested to describe conformal phases of matter that do not have a known dual (super-)renormalizable Lagrangian for $N \geq 7$ in $D = 3$. The…

Fast-Forward Lattice Boltzmann: Learning Kinetic Behaviour with Physics-Informed Neural Operators
Xiao Xue, Marco F. P. ten Eikelder, Mingyang Gao, Xiaoyuan Cheng, Yiming Yang, Yi He, Shuo Wang, Sibo Cheng, Yukun Hu, Peter V. Coveney
https://arxiv.org/abs/2509.22411

Fast-Forward Lattice Boltzmann: Learning Kinetic Behaviour with Physics-Informed Neural Operators
The lattice Boltzmann equation (LBE), rooted in kinetic theory, provides a powerful framework for capturing complex flow behaviour by describing the evolution of single-particle distribution functions (PDFs). Despite its success, solving the LBE numerically remains computationally intensive due to strict time-step restrictions imposed by collision kernels. Here, we introduce a physics-informed neural operator framework for the LBE that enables prediction over large time horizons without step-by…

Spectrum of the Curl of Vorticity as a Precursor to Dissipation in 3D Taylor--Green Turbulence
Satori Tsuzuki
https://arxiv.org/abs/2510.05728 https://arxi…

Spectrum of the Curl of Vorticity as a Precursor to Dissipation in 3D Taylor--Green Turbulence
Predicting when a three-dimensional turbulent flow reaches its dissipation peak is essential for both theory and adaptive algorithms in simulations and experiments. Using direct numerical simulations (DNSs) of the Taylor--Green vortex (TGV) at resolutions of $256^3$--$1024^3$, we introduce and test a small-scale weighted diagnostic: the spectrum of $|\nabla \times \boldsymbolω|^2$ (with $\boldsymbolω=\nabla \times \mathbf{u}$), which, for incompressible flow, is equivalent to a $k^4…

Compositional System Dynamics: The Higher Mathematics Underlying System Dynamics Diagrams & Practice
Xiaoyan Li, Evan Patterson, Patricia L. Mabry, Nathaniel D. Osgood
https://arxiv.org/abs/2509.18475

Compositional System Dynamics: The Higher Mathematics Underlying System Dynamics Diagrams & Practice
This work establishes a robust mathematical foundation for compositional System Dynamics modeling, leveraging category theory to formalize and enhance the representation, analysis, and composition of system models. Here, System Dynamics diagrams, such as stock & flow diagrams, system structure diagrams, and causal loop diagrams, are formulated as categorical constructs, enabling scalable, transparent, and systematic reasoning. By encoding these diagrams as data using attributed C-sets and utili…

Energy Correlators Resolving Proton Spin
Jun Gao, Hai Tao Li, Yu Jiao Zhu
https://arxiv.org/abs/2509.17596 https://arxiv.org/pdf/2509.17596

Energy Correlators Resolving Proton Spin
We investigate the partonic origin of the proton longitudinal spin using spin-dependent energy correlator measured in lepton-hadron collisions with longitudinally polarized proton beams. These observables encode angular correlations in energy flow and are sensitive to the spin-momentum structure of confined partons. Using soft-collinear effective theory (SCET), we analyze the correlation patterns in both nearly back-to-back and forward limits, which establishes a direct correspondence with long…

A curvilinear surface ALE formulation for self-evolving Navier-Stokes manifolds - Stabilized finite element formulation
Roger A. Sauer
https://arxiv.org/abs/2510.05119 https://

A curvilinear surface ALE formulation for self-evolving Navier-Stokes manifolds - Stabilized finite element formulation
This work presents a stabilized finite element formulation of the arbitrary Lagrangian-Eulerian (ALE) surface theory for Navier-Stokes flow on self-evolving manifolds developed in Sauer (2025). The formulation is physically frame-invariant, applicable to large deformations, and relevant to fluidic surfaces such as soap films, capillary menisci and lipid membranes, which are complex and inherently unstable physical systems. It is applied here to area-incompressible surface flows using a stabiliz…