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There has been great interest in applying the results of statistical mechanics to single molecule experiements. Recent work has highlighted so-called non-equilibrium work-energy relations and Fluctuation Theorems which take on an…

软凝聚态物质 · 物理学 2015-06-25 R. Dean Astumian

A fluctuation relation for aging systems is introduced, and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase space regions in a scenario of entropy-driven relaxation. The…

统计力学 · 物理学 2013-04-18 A. Crisanti , M. Picco , F. Ritort

Fluctuation theorems, which have been developed over the past 15 years, have resulted in fundamental breakthroughs in our understanding of how irreversibility emerges from reversible dynamics, and have provided new statistical mechanical…

统计力学 · 物理学 2015-05-13 E. M. Sevick , R. Prabhakar , Stephen R. Williams , Debra J. Searles

For systems in equilibrium at a temperature $T$, thermal noise and energy damping are related to $T$ through the fluctuation-dissipation theorem (FDT). We study here an extension of the FDT to an out of equilibrium steady state: a…

统计力学 · 物理学 2023-03-23 Alex Fontana , Ludovic Bellon

For a four-stroke asymmetrically driven quantum Otto engine with working medium modeled by a single qubit, we study the bounds on non-equilibrium fluctuations of work and heat. We find strict relations between the fluctuations of work and…

统计力学 · 物理学 2023-08-02 Sandipan Mohanta , Madhumita Saha , B. Prasanna Venkatesh , Bijay Kumar Agarwalla

Recent results on the stationary state Fluctuation Theorems for work and heat fluctuations of Langevin systems are presented. The relevance of finite time corrections in understanding experimental and simulation results is explained in the…

统计力学 · 物理学 2007-07-31 E. G. D. Cohen , Ramses van Zon

The recently developed effective field theory of fluctuations around thermal equilibrium is used to compute late-time correlation functions of conserved densities. Specializing to systems with a single conservation law, we find that the…

高能物理 - 理论 · 物理学 2019-12-24 Xinyi Chen-Lin , Luca V. Delacrétaz , Sean A. Hartnoll

Using recent fluctuation theorems from nonequilibrium statistical mechanics, we extend the theory for voltage fluctuations in electric circuits to power and heat fluctuations. They could be of particular relevance for the functioning of…

统计力学 · 物理学 2007-05-23 R. van Zon , S. Ciliberto , E. G. D. Cohen

We analyze fluctuation-dissipation relations in the Backgammon model: a system that displays glassy behavior at zero temperature due to the existence of entropy barriers. We study local and global fluctuation relations for the different…

统计力学 · 物理学 2015-05-13 A. Garriga , I. Pagonabarraga , F. Ritort

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

The fluctuation-dissipation relation is usually formulated for a system interacting with a heat bath at finite temperature in the context of linear response theory, where only small deviations from the mean are considered. We show that for…

量子物理 · 物理学 2013-07-11 C. H. Fleming , B. L. Hu , Albert Roura

We study stochastic thermodynamics of a Brownian particle which is subjected to a temperature gradient and is confined by an external potential. We first formulate an over-damped Ito-Langevin theory in terms of local temperature, friction…

统计力学 · 物理学 2024-02-22 Mingnan Ding , Jun Wu , Xiangjun Xing

This paper reports on a macroscopic fluctuation theory developed over the last ten years in collaboration with L. Bertini, A. De Sole, D. Gabrielli and C. Landim. This theory has been inspired by and tested on stochastic models of…

统计力学 · 物理学 2015-05-18 Giovanni Jona-Lasinio

Traditionally, it is understood that fluctuations in the equilibrium distribution are not evident in thermodynamic systems of large $N$ (the number of particles in the system) \cite{Huang1}. In this paper we examine the validity of this…

数学物理 · 物理学 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

We present a new approach to response around arbitrary out-of-equilibrium states in the form of a fluctuation-response inequality (FRI). We study the response of an observable to a perturbation of the underlying stochastic dynamics. We find…

统计力学 · 物理学 2019-10-22 Andreas Dechant , Shin-ichi Sasa

Materials that are constantly driven out of thermodynamic equilibrium, such as active and living systems, typically violate the Einstein relation. This may arise from active contributions to particle fluctuations which are unrelated to the…

统计力学 · 物理学 2025-01-07 Benjamin Sorkin , Haim Diamant , Gil Ariel , Tomer Markovich

We review recent progress in developing effective field theories (EFTs) for non-equilibrium processes at finite temperature, including a new formulation of fluctuating hydrodynamics, and a new proof of the second law of thermodynamics.…

高能物理 - 理论 · 物理学 2018-05-25 Paolo Glorioso , Hong Liu

A non-vanishing entropy production rate is one of the defining characteristics of any non-equilibrium system, and several techniques exist to determine this quantity directly from experimental data. The short-time inference scheme, derived…

统计力学 · 物理学 2022-11-29 Biswajit Das , Sreekanth K Manikandan , Ayan Banerjee

We consider a system of two Brownian particles (say A and B), coupled to each other via harmonic potential of stiffness constant $k$. Particle-A is connected to two heat baths of constant temperatures $T_1$ and $T_2$, and particle-B is…

统计力学 · 物理学 2018-07-04 Deepak Gupta , Sanjib Sabhapandit

We consider a driven Brownian particle, subject to both conservative and non-conservative applied forces, whose probability evolves according to the Kramers equation. We derive a general fluctuation relation, expressing the ratio of the…

统计力学 · 物理学 2007-05-23 A. Imparato , L. Peliti
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