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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 is a universal measure of irreversibility and energy dissipation in physical, chemical, and biological systems operating far from equilibrium. However, quantifying and spatiotemporally localising it in complex processes…

统计力学 · 物理学 2026-05-18 Biswajit Das , Sreekanth K Manikandan

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

统计力学 · 物理学 2013-05-30 Ian J. Ford , Richard E. Spinney

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

统计力学 · 物理学 2024-01-11 Jan Korbel , David H. Wolpert

Measuring entropy production of a system directly from the experimental data is highly desirable since it gives a quantifiable measure of the time-irreversibility for non-equilibrium systems and can be used as a cost function to optimize…

统计力学 · 物理学 2024-07-16 Prashant Singh , Karel Proesmans

We demonstrate that the Gibbs-Shannon entropy is applicable to non-equilibrium systems of any size and boundary conditions. The change in microscopic entropy can be attributed to the stochastic nature of dynamic processes and to the…

统计力学 · 物理学 2020-10-13 Jianzhong Wu

Systems with interacting degrees of freedom play a prominent role in stochastic thermodynamics. Our aim is to use the concept of detached path probabilities and detached entropy production for bipartite Markov processes and elaborate on a…

统计力学 · 物理学 2017-10-17 Jannik Ehrich , Andreas Engel

Stochastic thermodynamics gives universal relations for microscopic entropy production, yet its critical behavior at macroscopic nonequilibrium transitions remains unclassified. We study well-mixed reversible chemical reaction networks in…

统计力学 · 物理学 2026-05-06 Kyota Tamano , Keiji Saito

We study many interacting Brownian particles under a tilted periodic potential. We numerically measure the linear response coefficient of the density field by applying a slowly varying potential transversal to the tilted direction. In…

统计力学 · 物理学 2009-03-02 Takenobu Nakamura , Shin-ichi Sasa

The validity of the fluctuation theorem for entropy production as deduced from the observation of trajectories implicitly requires that all slow degrees of freedom are accessible. We experimentally investigate the role of hidden slow…

软凝聚态物质 · 物理学 2012-06-11 Jakob Mehl , Boris Lander , Clemens Bechinger , Valentin Blickle , Udo Seifert

Considering viscous friction that varies spatially and temporally, the general expressions for entropy production, free energy, and entropy extraction rates are derived to a Brownian particle that walks in an overdamped and underdamped…

统计力学 · 物理学 2021-04-28 Mesfin Asfaw Taye

In the theory of open quantum systems interaction is a fundamental concepts in the review of the dynamics of open quantum systems. Correlation, both classical and quantum one, is generated due to interaction between system and environment.…

量子物理 · 物理学 2016-06-22 S. Salimi , S. Haseli , A. S. Khorashad

Fluctuation theorems impose constraints on the probability of observing negative entropy production in small systems driven out of equilibrium. The range of validity of fluctuation theorems has been extensively tested for transitions…

统计力学 · 物理学 2015-04-21 Léo Granger , Jumna Mehlis , Édgar Roldán , Sergio Ciliberto , Holger Kantz

We provide a comprehensive analysis of the positional dynamics and average thermodynamics of an overdamped Brownian particle subject to both, harmonic confinement and annealed disorder due to a temporarily fluctuating trap stiffness. We…

统计力学 · 物理学 2025-09-17 Deepak Gupta , Sabine H. L. Klapp

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

统计力学 · 物理学 2019-02-04 David M. Rogers , Susan B. Rempe

We show that for stochastic dynamical systems out of equilibrium the violation of the fluctuation-dissipation equality is bounded by a function of the entropy production. The result applies to a much wider situation than `near equilibrium',…

统计力学 · 物理学 2009-01-23 Leticia F. Cugliandolo , David S. Dean , Jorge Kurchan

We introduce and study a class of models of free fermions hopping between neighbouring sites with random Brownian amplitudes. These simple models describe stochastic, diffusive, quantum, unitary dynamics. We focus on periodic boundary…

统计力学 · 物理学 2019-04-17 M. Bauer , D. Bernard , T. Jin

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

A stopping time $T$ is the first time when a trajectory of a stochastic process satisfies a specific criterion. In this paper, we use martingale theory to derive the integral fluctuation relation $\langle e^{-S_{\rm tot}(T)}\rangle=1$ for…

统计力学 · 物理学 2019-10-22 Izaak Neri , Edgar Roldán , Simone Pigolotti , Frank Jülicher

The oscillation of fluctuation with two state observables is investigated. Following the idea of Ohga, et al. [arXiv:2303.13116], we find that the fluctuation oscillation relative to their autocorrelations is bounded from above by the…

统计力学 · 物理学 2023-12-11 Naoto Shiraishi