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The expressions for entropy production, free energy, and entropy extraction rates are derived for a Brownian particle that walks in an underdamped medium. Our analysis indicates that as long as the system is driven out of equilibrium, it…

统计力学 · 物理学 2021-02-18 Mesfin Asfaw Taye

The second law of thermodynamics posits that in closed macroscopic systems the rate of entropy production must be positive. However, small systems can exhibit negative entropy production over short timescales, seemingly in contradiction…

量子气体 · 物理学 2023-08-08 Rama Sharma , Tapio P. Simula , Andrew J. Groszek

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

Entropy and the fluctuation-dissipation theorem are at the heart of statistical mechanics near equilibrium. Driving a system beyond the linear response regime leads to (i) the breakdown of the fluctuation-dissipation theorem and (ii) a…

统计力学 · 物理学 2010-09-10 Thomas Speck

An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantum detailed balance condition. In this paper, we introduce a notion of entropy production for faithful normal invariant states of a quantum…

数学物理 · 物理学 2015-03-18 Franco Fagnola , Rolando Rebolledo

Stochastic thermodynamics provides the framework to analyze thermodynamic laws and quantities along individual trajectories of small but fully observable systems. If the observable level fails to capture all relevant degrees of freedom,…

统计力学 · 物理学 2024-07-01 Julius Degünther , Jann van der Meer , Udo Seifert

For a network of discrete states with a periodically driven Markovian dynamics, we develop an inference scheme for an external observer who has access to some transitions. Based on waiting-time distributions between these transitions, the…

统计力学 · 物理学 2024-09-12 Alexander M. Maier , Julius Degünther , Jann van der Meer , Udo Seifert

For a colloidal particle driven by a constant force across a periodic potential, we investigate the distribution of entropy production both experimentally and theoretically. For short trajectories, the fluctuation theorem holds…

统计力学 · 物理学 2009-11-13 T. Speck , V. Blickle , C. Bechinger , U. Seifert

The rate of entropy production provides a useful quantitative measure of a non-equilibrium system and estimating it directly from time-series data from experiments is highly desirable. Several approaches have been considered for stationary…

统计力学 · 物理学 2022-02-21 Shun Otsubo , Sreekanth K Manikandan , Takahiro Sagawa , Supriya Krishnamurthy

For thermostatted dissipative systems the Fluctuation Theorem gives an analytical expression for the ratio of probabilities that the time averaged entropy production in a finite system observed for a finite time, takes on a specified value…

统计力学 · 物理学 2009-10-31 Denis J. Evans , Debra J. Searles , Emil Mittag

Entropy production (EP) is known as a fundamental quantity for measuring the irreversibility of processes in thermal equilibrium and states far from equilibrium. In stochastic thermodynamics, the EP becomes more visible in terms of the…

统计力学 · 物理学 2020-06-24 Jaewoo Jung , Jaegon Um , Deokjae Lee , Yong W. Kim , D. Y. Lee , H. K. Pak , B. Kahng

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

统计力学 · 物理学 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

Energy flow in bio-molecular motors and machines are vital to their function. Yet experimental observations are often limited to a small subset of variables that participate in energy transport and dissipation. Here we show, through a…

统计力学 · 物理学 2016-08-17 Shou-Wen Wang , Kyogo Kawaguchi , Shin-ichi Sasa , Lei-Han Tang

The second law of thermodynamics states that entropy production cannot be negative. Recent developments concerning uncertainty relations in stochastic thermodynamics, such as thermodynamic uncertainty relations and speed limits, have…

统计力学 · 物理学 2023-10-09 Tomohiro Nishiyama , Yoshihiko Hasegawa

An overarching action principle, the principle of minimal free action, exists for ergodic Markov chain dynamics. Using this principle and the Detailed Fluctuation Theorem, we construct a dynamic ensemble theory for non-equilibrium steady…

统计力学 · 物理学 2019-03-20 Xiangjun Xing , Mingnan Ding

Asymptotic fluctuation theorems are statements of a Gallavotti-Cohen symmetry in the rate function of either the time-averaged entropy production or heat dissipation of a process. Such theorems have been proved for various general classes…

数学物理 · 物理学 2010-01-23 Benjamin Hertz Shargel , Tom Chou

We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuous potentials, and all weak Gibbs states. In particular, we…

数学物理 · 物理学 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

We report on a numerical experiment performed to analyze fluctuations of the entropy production in turbulent thermal convection, a physical configuration that represents here a prototypical case of an out-of-equilibrium dissipative system.…

统计力学 · 物理学 2016-07-12 Francesco Zonta , Sergio Chibbaro

Fluctuation theorems specify the non-zero probability to observe negative entropy production, contrary to a naive expectation from the second law of thermodynamics. For closed particle trajectories in a fluid, Stokes theorem can be used to…

统计力学 · 物理学 2022-07-06 Benoît Mahault , Evelyn Tang , Ramin Golestanian

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