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In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the $H$-theorem for the polyatomic BGK model and the…

偏微分方程分析 · 数学 2017-08-18 Sa Jun Park , Seok-Bae Yun

This article presents a heuristic combination of the local and global formulations of the second law of thermodynamics that suggests the possibility of theoretical existence of thermodynamics processes with positive and negative entropy…

综合物理 · 物理学 2010-12-06 Jose Iraides Belandria

This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive processes. The first class are Lorentz gases, where…

混沌动力学 · 物理学 2009-11-07 J. R. Dorfman , P. Gaspard , T. Gilbert

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

统计力学 · 物理学 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

We study a model of two dimensional, topological superconductivity on a square lattice. The model contains hopping, spin orbit coupling and a time reversal symmetry breaking Zeeman term. This term, together with the chemical potential act…

强关联电子 · 物理学 2017-03-08 Jan Borchmann , T. Pereg-Barnea

Entropy production of an active particle in an external potential is identified through a thermodynamically consistent minimal lattice model that includes the chemical reaction providing the propulsion and ordinary translational noise. In…

统计力学 · 物理学 2017-12-01 Patrick Pietzonka , Udo Seifert

We study the entropy production in a macroscopic nonequilibrium system that undergoes an order-disorder phase transition. Entropy production is a characteristic feature of nonequilibrium dynamics with broken detailed balance. It is found…

统计力学 · 物理学 2016-01-20 Pyoung-Seop Shim , Hyun-Myung Chun , Jae Dong Noh

We compare several definitions of entropy production rate introduced in the literature from a large variety of situations and motivations, and then analyze their relations with memory effects. Considering a relevant experimental example of…

量子物理 · 物理学 2026-01-30 Guillaume Théret , Dominique Sugny , Camille L. Latune

We investigate the effect of coarse-graining on the energetics properties of a system, focusing on entropy production. As a case of study, we consider a one-dimensional colloidal particle in contact with a thermal bath, moving in a…

统计力学 · 物理学 2021-09-08 Pierpaolo Bilotto , Lorenzo Caprini , Angelo Vulpiani

For continuous-space diffusion processes, there is a strong connection between conservative forces and entropy production. For a given time evolution of the system's state, the entropy production is minimized when the system is driven by a…

统计力学 · 物理学 2026-05-04 Andreas Dechant , Jann van der Meer

Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the…

数学物理 · 物理学 2025-08-26 Hong Qian , Zhongwei Shen

We study stochastic thermodynamics of over-damped Brownian motion in a flowing fluid. Unlike some previous works, we treat the effects of the flow field as a non-conservational driving force acting on the Brownian particle. This allows us…

统计力学 · 物理学 2024-04-23 Jun Wu , Mingnan Ding , Xiangjun Xing

In statistical physics, entropy is generally logarithm of probability. Therefore, if dynamics is decomposed by log, entropy production should be decomposed properly. In the present work, log-decomposition of dynamics is introduced. By which…

统计力学 · 物理学 2014-04-30 Jang-il Sohn

The folding entropy is a quantity originally proposed by Ruelle in 1996 during the study of entropy production in the non-equilibrium statistical mechanics. As derived through a limiting process to the non-equilibrium steady state, the…

动力系统 · 数学 2020-09-03 Gang Liao , Shirou Wang

Autoregressive generative models -- including Transformers, recurrent neural networks, classical Kalman filters, state space models, and Mamba -- all generate sequences by sampling each output from a deterministic summary of the past,…

统计力学 · 物理学 2026-04-17 Takahiro Sagawa

An alternative method of developing the theory of non-equilibrium two dimensional holographic superconductor is to start from the definition of a time dependent $AdS_3$ background. As originally proposed, many of these formulae were cast in…

高能物理 - 理论 · 物理学 2016-10-19 N. S. Mazhari , D. Momeni , R. Myrzakulov , H. Gholizade , M. Raza

Due to the second principle of thermodynamics, the time dependence of entropy for all kinds of systems under all kinds of physical circumstances always thrives interest. The logistic map $x_{t+1}=1-a x_t^2 \in [-1,1]\;(a\in [0,2])$ is…

统计力学 · 物理学 2023-05-02 Constantino Tsallis , Ernesto P. Borges

Active systems are characterized by a continuous production of entropy at steady state. We study the statistics of entropy production within a lattice-based model of interacting active particles that is capable of motility-induced phase…

统计力学 · 物理学 2022-12-21 Tal Agranov , Michael E. Cates , Robert L. Jack

We study hydrodynamics coupled to order parameter based on linear sigma model. We obtain numerical solutions for both boost invariant and non-boost invariant solutions. Both solutions show the order parameter rises with oscillations, which…

核理论 · 物理学 2020-04-24 Shu Lin , Gezheng Zhou

*First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von…

统计力学 · 物理学 2011-03-31 Masuo Suzuki