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We propose a method for inferring entropy production (EP) in high-dimensional stochastic systems, including many-body systems and non-Markovian systems with long memory. Standard techniques for estimating EP become intractable in such…

统计力学 · 物理学 2026-02-20 Miguel Aguilera , Sosuke Ito , Artemy Kolchinsky

A maximum entropy production principle (MEPP) has been postulated to be a criterion of stability for steady states of open systems [Martyushev et al., Phys. Rep. 426, 1 (2006)]. We find a necessary condition for stability of steady…

经典物理 · 物理学 2014-04-15 Andrea Di Vita

The discontinuity, or imaginary part of a self-energy at finite temperature is proportional to the rate at which the corresponding particles are produced when very few of them are present, and also to the rate at which their phase space…

高能物理 - 唯象学 · 物理学 2016-03-02 D. Bodeker , M. Sangel , M. Wormann

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

统计力学 · 物理学 2015-12-03 Ian J. Ford

Living systems maintain or increase local order by working against the Second Law of Thermodynamics. Thermodynamic consistency is restored as they dissipate heat, thereby increasing the net entropy of their environment. Recently introduced…

生物物理 · 物理学 2021-05-03 Dominic J. Skinner , Jörn Dunkel

We derive statistical-mechanical speed limits on dissipation from the classical, chaotic dynamics of many-particle systems. In one, the rate of irreversible entropy production in the environment is the maximum speed of a deterministic…

统计力学 · 物理学 2024-06-19 Swetamber Das , Jason R. Green

In this paper, we show how the MEP hypothesis may be used to build simple climate models without representing explicitly the energy transport by the atmosphere. The purpose is twofold. First, we assess the performance of the MEP hypothesis…

大气与海洋物理 · 物理学 2017-03-21 Corentin Herbert , Didier Paillard

The free energy principle (FEP) states that any dynamical system can be interpreted as performing Bayesian inference upon its surrounding environment. In this work, we examine in depth the assumptions required to derive the FEP in the…

神经元与认知 · 定量生物学 2022-05-23 Miguel Aguilera , Beren Millidge , Alexander Tschantz , Christopher L. Buckley

By suitable reformulations, we review the mathematical frameworks of six different approaches to the description of non-equilibrium dynamics with the purpose to set up a unified formulation of the Maximum Entropy Production (MEP) principle…

统计力学 · 物理学 2013-06-27 Gian Paolo Beretta

Refraction at the interface between two materials is fundamental to the interaction of light with photonic devices and to the propagation of light through the atmosphere at large. Underpinning the traditional rules for the refraction of an…

光学 · 物理学 2021-02-02 Basanta Bhaduri , Murat Yessenov , Ayman F. Abouraddy

The great power of EQuilibrium (EQ) statistical physics comes from its principled foundations: its First Law (conservation), Second Law (variational tendency principle), and its Legendre Transforms from observables $(U, V, N)$ to their…

统计力学 · 物理学 2025-09-03 Ying-Jen Yang , Ken A. Dill

We tried to explain our point of view on this principle and answer a number of critical questions in this comment. It is the first time we have clearly presented all the existing restrictions of MEPP application and briefly explained them;…

统计力学 · 物理学 2015-06-17 Leonid M. Martyushev , Vladimir D. Seleznev

We give meaning to the first and second laws of thermodynamics in case of mesoscopic out-of-equilibrium systems which are driven by diffusion processes. The notion of the entropy production is analyzed. The role of the Helmholtz extremum…

统计力学 · 物理学 2008-11-26 Piotr Garbaczewski

Steady-state flow of an incompressible fluid in parallel pipes can simultaneously satisfy two contradictory extremum principles in the entropy production, depending on the flow conditions. For a constant total flow rate, the flow can…

流体动力学 · 物理学 2017-02-01 Robert K. Niven

A path information is defined in connection with different possible paths of irregular dynamic systems moving in its phase space between two points. On the basis of the assumption that the paths are physically differentiated by their…

统计力学 · 物理学 2007-05-23 Qiuping A. Wang

The fluctuation theorems have remained one of the cornerstones in the study of systems that are driven far out of equilibrium, and they provide strong constraints on the fraction of trajectories that behave atypically in light of the second…

统计力学 · 物理学 2015-06-05 Sourabh Lahiri , A. M. Jayannavar

The maximum entropy technique (MENT) is used to determine the distribution functions of physical values. MENT naturally combines required maximum entropy, the properties of a system and connection conditions in the form of restrictions…

高能物理 - 实验 · 物理学 2007-05-23 B. Z. Belashev , M. K. Suleymanov

The field-dependent equilibrium thermodynamics is derived with two methods: either by using the potential formalism either by the statistical method. Therefore, Pontrjagin's extremum principle of control theory is applied to an extended…

综合物理 · 物理学 2007-05-23 W. D. Bauer

Entropy production is the crucial quantity characterizing irreversible phenomena and the second law of thermodynamics. Yet, a ubiquitous definition eludes consensus. Given that entropy production arises from incomplete access to…

量子物理 · 物理学 2024-08-26 Adalberto D. Varizi , Pedro S. Correia

Irreversible processes accomplished in a fixed time involve nonlinearly coupled flows of matter, energy, and information. Here, using entropy production as an example, we show how thermodynamic uncertainty relations and speed limits on…

统计力学 · 物理学 2021-05-12 Schuyler B. Nicholson , Jason R. Green