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The quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark quantum devices and measure free energy differences. While…

统计力学 · 物理学 2023-11-07 Dominik Hahn , Maxime Dupont , Markus Schmitt , David J. Luitz , Marin Bukov

In the Langevin formalism, the delicate balance maintained between the fluctuations in the system and their corresponding dissipation may be upset by the presence of a secondary, space-dependent stochastic force, particularly in the low…

统计力学 · 物理学 2007-05-23 Jeremy M. Moix , Rigoberto Hernandez

The Jarzynski Equality is a well-known and widely used identity, relating the free energy difference between two states of a system to the work done over some arbitrary, nonequilibrium transformation between the two states. Despite being…

统计力学 · 物理学 2018-12-18 Stuart J. Davie , Owen G. Jepps , Lamberto Rondoni , James C. Reid , Debra J. Searles

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

统计力学 · 物理学 2009-09-25 Gavin E. Crooks

We have studied dynamical responses and the Jarzynski equality (JE) of classical open systems described by the generalized Caldeira-Leggett model with the nonlocal system-bath coupling. In the derived non-Markovian Langevin equation, the…

统计力学 · 物理学 2015-05-30 Hideo Hasegawa

We investigate thermodynamics of general nonequilibrium processes stopped at stochastic times. We propose a systematic strategy for constructing fluctuation-theorem-like martingales for each thermodynamic functional, yielding a family of…

统计力学 · 物理学 2023-06-02 Haoran Yang , Hao Ge

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…

统计力学 · 物理学 2009-04-01 A. Baule , E. G. D. Cohen

When two resonantly interacting modes are in contact with a thermostat, their statistics is exactly Gaussian and the modes are statistically independent despite strong interaction. Considering noise-driven system, we show that when one mode…

混沌动力学 · 物理学 2021-07-28 N. Vladimirova , M. Shavit , S. Belan , G. Falkovich

We give a field-theoretic proof of the nonequilibrium work relations for a space dependent field with stochastic dynamics. The path integral representation and its symmetries allow us to derive Jarzynski's equality. In addition, we derive a…

统计力学 · 物理学 2008-02-01 Kirone Mallick , Moshe Moshe , Henri Orland

The computation of free energy differences through an exponential weighting of out of equilibrium paths (known as the Jarzynski equality) is often used for transitions between states described by an external parameter $\lambda$ in the…

统计力学 · 物理学 2015-06-25 Tony Lelievre , Mathias Rousset , Gabriel Stoltz

This paper is the second in a series devoted to the study of Langevin systems subjected to a continuous time-delayed feedback control. The goal of our previous paper [Phys. Rev. E 91, 042114 (2015)] was to derive second-law-like…

统计力学 · 物理学 2017-03-01 M. L. Rosinberg , G. Tarjus , T. Munakata

Stochastic evolution of various dynamic systems and reaction networks is commonly described in terms of noise assisted escape of an overdamped particle from a potential well, as devised by the paradigmatic Langevin equation in which…

统计力学 · 物理学 2020-03-16 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

The excess work required to drive a stochastic system out of thermodynamic equilibrium through a time-dependent external perturbation is directly related to the amount of entropy produced during the driving process, allowing excess work and…

统计力学 · 物理学 2021-03-15 Steven J Large , Jannik Ehrich , David A Sivak

The nonequilibrium fluctuation theorems have paved the way for estimating equilibrium thermodynamic properties, such as free energy differences, using trajectories from driven nonequilibrium processes. While many statistical estimators may…

统计力学 · 物理学 2012-08-27 David D. L. Minh , Suriyanarayanan Vaikuntanathan

We use an effective Markovian description to study the long-time behaviour of a nonlinear second order Langevin equation with Gaussian noise. When dissipation is neglected, the energy of the system grows as with time a power-law with an…

混沌动力学 · 物理学 2014-12-19 Kirone Mallick

Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of controlling the efficiency of the completion process when a…

统计力学 · 物理学 2022-06-22 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

Loewner rational interpolation provides a versatile tool to learn low-dimensional dynamical-system models from frequency-response measurements. This work investigates the robustness of the Loewner approach to noise. The key finding is that…

数值分析 · 数学 2020-11-06 Zlatko Drmač , Benjamin Peherstorfer

The free energy of glasses cannot be estimated using thermodynamic integration, as glasses are intrinsically not in equilibrium. We present numerical simulations showing that, in contrast, plausible free-energy estimates of a Kob-Andersen…

统计力学 · 物理学 2021-07-07 H. A. Vinutha , Daan Frenkel

A system-reservoir nonlinear coupling model has been proposed for a situation where the reservoir is nonlinearly driven by an external Gaussian stationary noise which exposes the system particles to a nonequilibrium environment. Apart from…

We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient…

统计力学 · 物理学 2010-02-22 Punyabrata Pradhan , Yariv Kafri , Dov Levine