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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…

统计力学 · 物理学 2007-08-07 A. Imparato , L. Peliti

A simple expression for the non-equilibrium distribution function in ultra-fast transient processes is proposed. Postulating its dependence on temporal derivatives of the equilibrium integrals of motion, non-equilibrium analogues of the…

统计力学 · 物理学 2025-02-18 K. S. Glavatskiy

We investigate how to minimize the work dissipated during nonequilibrium processes. To this end, we employ methods from linear response theory to describe slowly varying processes, i.e., processes operating within the linear regime around…

统计力学 · 物理学 2014-07-03 Marcus V. S. Bonança , Sebastian Deffner

We derive the differential equation describing the time evolution of the work probability distribution function of a stochastic system which is driven out of equilibrium by the manipulation of a parameter. We consider both systems described…

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

We extend the canonical Gibbs distribution, originally formulated for systems at equilibrium, to systems driven out of equilibrium. The stochastic dynamics of a small system are described by a probability distribution over discrete energy…

统计力学 · 物理学 2026-03-31 Jean-Luc Garden

We experimentally investigate the distribution of the non-equilibrium work done by an external force on a mesoscopic system with many coupled degrees of freedom: a colloidal monolayer mechanically driven across a periodic light field. Since…

统计力学 · 物理学 2015-04-30 Juan Ruben Gomez-Solano , Christoph July , Jakob Mehl , Clemens Bechinger

We show, both analytically and numerically, that for a nonlinear system making a transition from one equilibrium state to another under the action of an external time dependent force, the work probability distribution is in general…

统计力学 · 物理学 2009-11-11 Arnab Saha , J. K. Bhattacharjee

In this study, the minimum amount of work needed to drive a thermodynamic system from one initial distribution to another in a given time duration is discussed. Equivalently, for given amount of work, the minimum time duration required to…

统计力学 · 物理学 2020-02-17 Yunxin Zhang

We compute the distribution of the work done in driving a single Ising spin with a time-dependent magnetic field. Using Glauber dynamics we perform Monte-Carlo simulations to find the work distributions at different driving rates. We find…

统计力学 · 物理学 2007-05-23 Rahul Marathe , Abhishek Dhar

We study properties of the work distribution of a many-body system driven through a quantum phase transition in finite time. We focus on the non-Gaussianity of the distribution, which we characterize through two quantitative metrics:…

量子物理 · 物理学 2023-01-13 Krissia Zawadzki , Anthony Kiely , Gabriel T. Landi , Steve Campbell

The distributions of work for strongly non-equilibrium processes are studied using a very general form of a large-deviation approach, which allows one to study distributions of almost arbitrary quantities of interest for equilibrium,…

统计力学 · 物理学 2013-05-07 Alexander K. Hartmann

We analyze how the amount of work dissipated by a fixed nonequilibrium process depends on the initial distribution over states. Specifically, we compare the amount of dissipation when the process is used with some specified initial…

统计力学 · 物理学 2022-11-22 Artemy Kolchinsky , David H. Wolpert

We demonstrate that a gas of classical particles trapped in an external asymmetric potential undergoes a quasiperiodic motion, if the temperature of its initial velocity distribution $T_{ne}$ differs from the equilibrium temperature,…

统计力学 · 物理学 2008-01-24 M. F. Gelin , D. S. Kosov

A longstanding goal of nonequilibrium statistical mechanics has been to extend the conceptual power of the Boltzmann distribution to driven systems. We report some new progress towards this goal. Instead of writing the nonequilibrium…

统计力学 · 物理学 2015-11-25 Robert Marsland , Jeremy England

The asymptotic behaviour of the work probability distribution in driven non-equilibrium systems is determined using the method of optimal fluctuations. For systems described by Langevin dynamics the corresponding Euler-Lagrange equation…

统计力学 · 物理学 2013-05-29 A. Engel

We explore fluctuation relations in a periodically driven micromechanical torsional oscillator. In the linear regime where the modulation is weak, we verify that the ratio of the work variance to the mean work is constant, consistent with…

统计力学 · 物理学 2019-09-04 P. Zhou , X. Dong , C. Stambaugh , H. B. Chan

Using the Onsager-Machlup functional integral approach, we obtain the work distribution function and the distribution of the dissipated heat of a Brownian particle subjected to a confining harmonic potential and an oscillatory driving…

统计力学 · 物理学 2016-01-29 Bappa Saha , Sutapa Mukherji

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov

We consider damped stochastic systems in a controlled (time-varying) quadratic potential and study their transition between specified Gibbs-equilibria states in finite time. By the second law of thermodynamics, the minimum amount of work…

统计力学 · 物理学 2018-03-23 Yongxin Chen , Tryphon Georgiou , Allen Tannenbaum

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

统计力学 · 物理学 2007-12-12 Tooru Taniguchi , E. G. D. Cohen
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