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The cumulant generating function of time-averaged current is studied from an operational viewpoint. Specifically, for interacting Brownian particles under non-equilibrium conditions, we show that the first derivative of the cumulant…

统计力学 · 物理学 2015-05-30 Takahiro Nemoto , Shin-ichi Sasa

We present a diagrammatic formulation of a theory for the time dependence of density fluctuations in equilibrium systems of interacting Brownian particles. To facilitate derivation of the diagrammatic expansion we introduce a basis that…

软凝聚态物质 · 物理学 2009-11-13 Grzegorz Szamel

We derive the distribution of particle currents for a system of interacting active Brownian particles in the long time limit using large deviation theory and a weighted many body expansion. We find the distribution is non-Gaussian, except…

统计力学 · 物理学 2018-12-19 Trevor GrandPre , David T. Limmer

The question how to introduce thermal fluctuations in the equation of motion of a magnetic system is addressed. Using the approach of the fluctuation-dissipation theorem we calculate the properties of the noise for both, the fluctuating…

统计力学 · 物理学 2009-11-07 O. Chubykalo , R. Smirnov-Rueda , M. A. Wongsam , R. W. Chantrell , U. Nowak , J. M. Gonzalez

Periodic driving is used to operate machines that go from standard macroscopic engines to small non-equilibrium micro-sized systems. Two classes of such systems are small heat engines driven by periodic temperature variations and molecular…

统计力学 · 物理学 2017-11-16 Somrita Ray , Andre C. Barato

The macroscopic fluctuation theory is a powerful tool to characterise the large scale dynamical properties of diffusive systems, both in- and out-of-equilibrium. It relies on an action formalism in which, at large scales, the dynamics is…

统计力学 · 物理学 2025-09-16 Théotim Berlioz , Olivier Bénichou , Aurélien Grabsch

We analytically compute the full counting statistics of charge transfer in a classical automaton of interacting charged particles. Deriving a closed-form expression for the moment generating function with respect to a stationary equilibrium…

统计力学 · 物理学 2024-02-06 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Enej Ilievski , Tomaž Prosen

By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating…

统计力学 · 物理学 2016-12-28 Roman Belousov , E. G. D. Cohen

The fluctuation-dissipation theorem is a central theorem in nonequilibrium statistical mechanics by which the evolution of velocity fluctuations of the Brownian particle under a fluctuating environment is intimately related to its…

统计力学 · 物理学 2015-05-14 Jen-Tsung Hsiang , Tai-Hung Wu , Da-Shin Lee

We derive the fluctuation theorem for a stochastic and periodically driven system coupled to two reservoirs with the aid of a master equation. We write down the cumulant generating functions for both the current and entropy production in…

统计力学 · 物理学 2020-11-26 Kazutaka Takahashi , Yuki Hino , Keisuke Fujii , Hisao Hayakawa

Current fluctuations play an important role in non-equilibrium statistical mechanics, and are a key object of interest in both theoretical studies and in practical applications. So far, most of the studies were devoted to the fluctuations…

统计力学 · 物理学 2021-06-01 Bertrand Lacroix-A-Chez-Toine , Oren Raz

This work deals with the overdamped motion of a particle in a fluctuating one-dimensional periodic potential. If the potential has no inversion symmetry and its fluctuations are asymmetric and correlated in time, a net flow can be generated…

凝聚态物理 · 物理学 2016-10-26 Enrique Abad , Andreas Mielke

We construct a dynamical field theory for noninteracting Brownian particles in the presence of a quenched Gaussian random potential. The main variable for the field theory is the density fluctuation which measures the difference between the…

无序系统与神经网络 · 物理学 2020-12-02 Wonsang Lee , Joonhyun Yeo

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

统计力学 · 物理学 2015-05-13 D. Andrieux , P. Gaspard

We study large fluctuations of the current in a Dyson gas, a 1D system of particles interacting through a logarithmic potential and subjected to random noise. We adapt the macroscopic fluctuation theory to the Dyson gas and derive two…

统计力学 · 物理学 2025-06-03 Rahul Dandekar , P. L. Krapivsky , Kirone Mallick

We extend Tooru-Cohen analysis for nonequilirium steady state(NSS) of a Brownian particle to nonequilibrium oscillatory state (NOS) of Brownian particle by considering time dependent external drive protocol. We consider an unbounded charged…

统计力学 · 物理学 2008-04-20 Navinder Singh

We study the fluctuation-dissipation theorem for a Brownian particle driven into a nonequilibrium steady state experimentally. We validate two different theoretical variants of a generalized fluctuation-dissipation theorem. Furthermore, we…

软凝聚态物质 · 物理学 2015-05-18 Jakob Mehl , Valentin Blickle , Udo Seifert , Clemens Bechinger

A simple variational Lagrangian is proposed for the time development of an arbitrary density matrix, employing the "factorization" of the density. Only the "kinetic energy" appears in the Lagrangian. The formalism applies to pure and mixed…

流体动力学 · 物理学 2009-11-10 R. Englman , A. Yahalom

We study fluctuations of entropy production for a charged Brownian particle confined in a harmonic trap and driven out of equilibrium by crossed electric and magnetic fields. The magnetic field is constant and perpendicular to the plane of…

统计力学 · 物理学 2025-12-19 L. C. González-Morales , I. Pérez Castillo , J. I. Jiménez-Aquino

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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