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We employ the Hamiltonian formalism of macroscopic fluctuation theory to study large deviations of integrated current in the Kipnis-Marchioro-Presutti (KMP) model of stochastic hear flow when starting from a step-like initial condition. The…

统计力学 · 物理学 2015-06-17 Baruch Meerson , Pavel V. Sasorov

We propose a time-symmetric counterpart of the current in stochastic thermodynamics named time-symmetric current. This quantity is defined with empirical measures and thus is symmetric under time reversal, while its ensemble average…

统计力学 · 物理学 2023-04-26 Naoto Shiraishi

The dynamics of a one-dimensional stochastic model is studied in presence of an absorbing boundary. The distribution of fluctuations is analytically characterized within the generalized van Kampen expansion, accounting for higher order…

统计力学 · 物理学 2015-05-28 Claudia Cianci , Francesca Di Patti , Duccio Fanelli

Current fluctuations are a powerful tool to unravel the underlying physics of the observed transport process. This work discusses some general properties of the third and the fourth current cumulant (skewness and kurtosis) related to…

介观与纳米尺度物理 · 物理学 2022-08-23 Krzysztof Ptaszynski

We investigate the work fluctuations in an overdamped non-equilibrium process that is stopped at a stochastic time. The latter is characterized by a first passage event that marks the completion of the non-equilibrium process. In…

统计力学 · 物理学 2024-03-20 Iago N Mamede , Prashant Singh , Arnab Pal , Carlos E. Fiore , Karel Proesmans

We prove the nonequilibrium fluctuations of one-dimensional, boundary driven, weakly asymmetric exclusion processes through a microscopic Cole-Hopf transformation.

概率论 · 数学 2015-04-23 Patrícia Gonçalves , Claudio Landim , Aniura Milanés

The basic model of the non-equilibrium low dimensional physics the so-called totally asymmetric exclusion process is related to the 'crystalline limit' ($q\to\infty$) of the $SU_q(2)$ quantum algebra. Using the quantum inverse scattering…

数学物理 · 物理学 2009-04-24 Nikolay M. Bogoliubov

We consider high order current cumulants in disordered systems out of equilibrium. They are interesting and reveal information which is not easily exposed by the traditional shot noise. Despite the fact that the dynamics of the electrons is…

介观与纳米尺度物理 · 物理学 2007-05-23 D. B. Gutman , Yuval Gefen , A. D. Mirlin

With respect to a class of long-range exclusion processes on $\mathbb{Z}^d$, with single particle transition rates of order $|\cdot|^{-(d+\alpha)}$, starting under Bernoulli invariant measure $\nu_\rho$ with density $\rho$, we consider the…

概率论 · 数学 2014-07-31 Cédric Bernardin , Patrícia Gonçalves , Sunder Sethuraman

We propose an experimental scheme to verify the quantum non-equilibrium fluctuation relations using current technology. Specifically, we show that the characteristic function of the work distribution for a non-equilibrium quench of a…

量子物理 · 物理学 2013-06-18 R. Dorner , S. R. Clark , L. Heaney , R. Fazio , J. Goold , V. Vedral

We use simple models (the Ising model in one and two dimensions, and the spherical model in arbitrary dimension) to put to the test some recent ideas on the slow dynamics of nonequilibrium systems. In this review the focus is on the…

统计力学 · 物理学 2009-11-07 C. Godreche , J. M. Luck

Dynamical phase transitions are nonequilibrium counterparts of thermodynamic phase transitions and share many similarities with their equilibrium analogs. In continuous phase transitions, critical exponents play a key role in characterizing…

统计力学 · 物理学 2025-06-09 Timo Schorlepp , Ohad Shpielberg

In this thesis, we consider one of the most popular models of non-equilibrium statistical physics: the Asymmetric Simple Exclusion Process, in which particles jump stochastically on a one-dimensional lattice, between two reservoirs at fixed…

统计力学 · 物理学 2014-03-28 Alexandre Lazarescu

For a many-particle system with long-range interactions and evolving under stochastic dynamics, we study for the first time the out-of-equilibrium fluctuations of the work done on the system by a time-dependent external force. For…

统计力学 · 物理学 2016-04-19 Shamik Gupta , Thierry Dauxois , Stefano Ruffo

The totally asymmetric simple exclusion process (TASEP) on the one-dimensional lattice with the Bernoulli \rho measure as initial conditions, 0<\rho<1, is stationary in space and time. Let N_t(j) be the number of particles which have…

数学物理 · 物理学 2013-02-07 Patrik L. Ferrari , Herbert Spohn

We consider the totally asymmetric simple exclusion process on a ring with flat and step initial conditions. We assume that the size of the ring and the number of particles tend to infinity proportionally and evaluate the fluctuations of…

数学物理 · 物理学 2017-03-02 Jinho Baik , Zhipeng Liu

We study the work fluctuations of a particle, confined to a moving harmonic potential, under the influence of friction and external Poissonian shot noise. The asymmetry of the noise induces an effective nonlinearity in the potential, which…

统计力学 · 物理学 2009-11-13 A. Baule , E. G. D. Cohen

The fluctuation in electric current in nonequilibrium steady states is investigated by molecular dynamics simulation of macroscopically uniform conductors. At low frequencies, appropriate decomposition of the spectral intensity of current…

统计力学 · 物理学 2015-05-13 Tatsuro Yuge , Akira Shimizu

The asymmetric simple inclusion process (ASIP) --- a lattice-gas model for unidirectional transport with irreversible aggregation --- has been proposed as an inclusion counterpart of the asymmetric simple exclusion process and as a batch…

统计力学 · 物理学 2019-10-16 Ofek Lauber Bonomo , Shlomi Reuveni

We consider in this paper, a few important issues in non-equilibrium work fluctuations and their relations to equilibrium free energies. First we show that Jarzynski identity can be viewed as a cumulant expansion of work. For a switching…

统计力学 · 物理学 2015-05-20 M Suman Kalyan , G Anjan Prasad , V S S Sastry , K P N Murthy