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The fluctuation theorem, where the central quantity is the work distribution, is an important characterization of nonequilibrium thermodynamics. In this work, based on the dissipaton-equation-of-motion theory, we develop an exact method to…

Statistical Mechanics · Physics 2022-08-11 Hong Gong , Yao Wang , Xiao Zheng , Rui-Xue Xu , YiJing Yan

We study a Langevin-like model which describes an inertial particle in a one-dimensional harmonic potential and subjected to two heat baths and one athermal environment. The thermal noises are white and Gaussian, and the temperatures of…

Statistical Mechanics · Physics 2022-09-21 E. S. Nascimento , W. A. M. Morgado

We experimentally study the fluctuations of the work done by an external Gaussian random force on two different stochastic systems coupled to a thermal bath: a colloidal particle in an optical trap and an atomic force microscopy cantilever.…

Statistical Mechanics · Physics 2010-04-20 Juan Ruben Gomez-Solano , Ludovic Bellon , Artyom Petrosyan , Sergio Ciliberto

We consider a particle, confined to a moving harmonic potential, under the influence of friction and external asymmetric Poissonian shot noise (PSN). We study the fluctuations of the work done to maintain this system in a nonequilibrium…

Statistical Mechanics · Physics 2009-04-01 A. Baule , E. G. D. Cohen

In this work, we numerically verify the Jarzynski equality and Crook fluctuation theorem for a Brownian particle diffusing in a heterogeneous thermal bath and hence having a non-Gaussian position distribution. We use the…

Statistical Mechanics · Physics 2026-03-05 A. Saravanan , I. Iyyappan

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen

We study a granular gas heated by a stochastic thermostat in the dilute limit. Starting from the kinetic equations governing the evolution of the correlation functions, a Boltzmann-Langevin equation is constructed. The spectrum of the…

Statistical Mechanics · Physics 2010-06-11 P. Maynar , M. I. Garcia de Soria , E. Trizac

The fluctuations of the work done by an external Gaussian random force on a harmonic oscillator that is also in contact with a thermal bath is studied. We have obtained the exact large deviation function as well as the complete asymptotic…

Statistical Mechanics · Physics 2011-11-08 Sanjib Sabhapandit

This thesis is devoted to the theoretical study of slow thermodynamic processes in non-equilibrium stochastic systems. Its main result is a physically and mathematically consistent construction of relevant thermodynamic quantities in the…

Statistical Mechanics · Physics 2014-07-29 Jiří Pešek

We show the existence of intermittent dynamics in one of the simplest model of a glassy system: the two-state model, which has been used to explain the origin of the violation of the fluctuation-dissipation theorem. The dynamics is analyzed…

Statistical Mechanics · Physics 2009-11-10 M. Naspreda , D. Reguera , A. Perez-Madrid , J. M. Rubi

We review and discuss the equations governing the distribution of work done on a system which is driven out of equilibrium by external manipulation, as well as those governing the entropy flow to a reservoir in a nonequilibrium system. We…

Statistical Mechanics · Physics 2007-08-07 A. Imparato , L. Peliti

Fluctuation theorems based on time-reversal have provided remarkable insight into the non-equilibrium statistics of thermodynamic quantities like heat, work, and entropy production. These types of laws impose constraints on the…

Statistical Mechanics · Physics 2022-11-30 Max Innerbichler , Andrei Militaru , Martin Frimmer , Lukas Novotny , Christoph Dellago

We propose an energetic interpretation ofstochastic processes described by Langevin equations with non-uniform temperature. In order to avoid It\^{o}-Stratonovich dilemma, we start with a Kramers equation, and derive a Fokker-Plank equation…

Statistical Mechanics · Physics 2007-05-23 Miki Matsuo , Shin-ichi Sasa

Estimating free-energy differences using nonequilibrium work relations, such as the Jarzynski equality, is hindered by poor convergence when work fluctuations are large. For systems governed by overdamped Langevin dynamics, we propose the…

Statistical Mechanics · Physics 2025-08-14 Stephen Whitelam

The analysis of fluctuation-dissipation relations developed in Giona et al. (2024) for particle hydromechanics is extended to stochastic forcings alternative to Wiener processes, with the aim of addressing the occurrence of Gaussian…

Statistical Mechanics · Physics 2024-12-30 Chiara Pezzotti , Massimiliano Giona , Giuseppe Procopio

Fluctuations of energy and heat are investigated during the relaxation following the instantaneous temperature quench of an extended system. Results are obtained analytically for the Gaussian model and for the large $N$ model quenched below…

Statistical Mechanics · Physics 2015-06-22 M. Zannetti , F. Corberi , G. Gonnella , A. Piscitelli

This paper is concerned with the stochastic thermodynamics of non-equilibrium Gaussian processes that can exhibit anomalous diffusion. In the systems considered, the noise correlation function is not necessarily related to friction. Thus,…

Statistical Mechanics · Physics 2022-12-20 S. Mohsen J. Khadem , Rainer Klages , Sabine H. L. Klapp

In this paper we investigate the applicability of non-equilibrium statistical mechanics to non-equilibrium damage phenomena. As an example, a fiber-bundle model with thermal noise and a fiber-bundle model with decay of fibers are…

Statistical Mechanics · Physics 2009-05-25 S. G. Abaimov

Based on the system heat bath approach where the bath is nonlinearly modulated by an external Gaussian random force, we propose a new microscopic model to study directed motion in the overdamped limit for a nonequilibrium open system.…

Statistical Mechanics · Physics 2007-12-11 Jyotipratim Ray Chaudhuri , Debashis Barik , Suman Kumar Banik

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

Statistical Mechanics · Physics 2022-02-24 Markus Rademacher , Michael Konopik , Maxime Debiossac , David Grass , Eric Lutz , Nikolai Kiesel