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We formulate a stochastic description of entropy production in scattering theory for coherent transport. We distinguish between the information entropy change due to partial knowledge of the leads' state and the thermodynamic entropy change…

介观与纳米尺度物理 · 物理学 2026-04-29 Ludovico Tesser , Henning Kirchberg , Matteo Acciai , Janine Splettstoesser

For a Markovian dynamics on discrete states, the logarithmic ratio of waiting-time distributions between two successive, instantaneous transitions in forward and backward direction is a measure of time-irreversibility. It thus serves as an…

统计力学 · 物理学 2024-06-13 Ellen Meyberg , Julius Degünther , Udo Seifert

Modelling the evolution of a system using stochastic dynamics typically implies a greater subjective uncertainty in the adopted system coordinates as time progresses, and stochastic entropy production has been developed as a measure of this…

统计力学 · 物理学 2023-02-06 Jonathan Dexter , Ian J. Ford

We establish a fundamental connection between score-based diffusion models and non-equilibrium thermodynamics by deriving performance limits based on entropy rates. Our main theoretical contribution is a lower bound on the negative…

机器学习 · 计算机科学 2025-10-08 Nathan X. Kodama , Michael Hinczewski

We derive an Ito stochastic differential equation for entropy production in nonequilibrium Langevin processes. Introducing a random-time transformation, entropy production obeys a one-dimensional drift-diffusion equation, independent of the…

统计力学 · 物理学 2017-10-10 Simone Pigolotti , Izaak Neri , Édgar Roldán , Frank Jülicher

The stochastic motion in a nonhomogeneous medium with traps is studied and diffusion properties of that system are discussed. The particle is subjected to a stochastic stimulation obeying a general L\'evy stable statistics and experiences…

统计力学 · 物理学 2015-06-11 Tomasz Srokowski

We compute the entropy production engendered in the environment from a single Brownian particle which moves in a mean flow, and show that it corresponds in expectation to classical near-equilibrium entropy production in the surrounding…

统计力学 · 物理学 2014-05-06 Yueheng Lan , Erik Aurell

Stochastic thermodynamics is a developing theory for systems out of thermal equilibrium. It allows to formulate a wealth of nontrivial relations among thermodynamic quantities such as heat dissipation, excess work, and entropy production in…

统计力学 · 物理学 2026-02-24 Benjamin Sorkin , Gil Ariel , Tomer Markovich

We discuss the non-equilibrium properties of a thermally driven micromachine consisting of three spheres which are in equilibrium with independent heat baths characterized by different temperatures. Within the framework of a linear…

统计力学 · 物理学 2020-10-28 Isamu Sou , Yuto Hosaka , Kento Yasuda , Shigeyuki Komura

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 irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in the…

统计力学 · 物理学 2017-08-02 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonas Fransson

We derive the expression for the entropy production for stochastic dynamics defined on a continuous space of states containing unidirectional transitions. The expression is derived by taking the continuous limit of a stochastic dynamics on…

统计力学 · 物理学 2024-09-05 Mário J. de Oliveira

We prove that the transport of any differentiable 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.…

统计力学 · 物理学 2024-10-10 Cai Dieball , Aljaž Godec

We examine stochastic processes that are used to model nonequilibrium processes (e.g, pulling RNA or dragging colloids) and so deliberately violate detailed balance. We argue that by combining an information-theoretic measure of…

统计力学 · 物理学 2009-11-13 R. A. Blythe

We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a 1D Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system:…

统计力学 · 物理学 2015-06-23 David Lacoste , Michael A. Lomholt

The entropy production rate is a central quantity in non-equilibrium statistical physics, scoring how far a stochastic process is from being time-reversible. In this paper, we compute the entropy production of diffusion processes at…

统计力学 · 物理学 2023-06-19 Lancelot Da Costa , Grigorios A. Pavliotis

The total entropy production and its three constituent components are described both as fluctuating trajectory-dependent quantities and as averaged contributions in the context of the continuous Markovian dynamics, described by stochastic…

统计力学 · 物理学 2015-06-04 Richard E. Spinney , Ian J. Ford

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

统计力学 · 物理学 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

统计力学 · 物理学 2016-04-11 Gianmaria Falasco , Marco Baiesi

We study a relationship between optimal transport theory and stochastic thermodynamics for the Fokker-Planck equation. We show that the lower bound on the entropy production is the action measured by the path length of the $L^2$-Wasserstein…

统计力学 · 物理学 2021-11-02 Muka Nakazato , Sosuke Ito