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We report a similarity of fluctuations in equilibrium critical phenomena and non-equilibrium systems, which is based on the concept of natural time. The world-wide seismicity as well as that of San Andreas fault system and Japan are…

地球物理 · 物理学 2007-05-23 P. A. Varotsos , N. V. Sarlis , H. K. Tanaka , E. S. Skordas

We investigate the current properties in the totally asymmetric simple exclusion process (TASEP) on a quenched random energy landscape. In low- and high-density regimes, the properties are characterized by single-particle dynamics. In the…

统计力学 · 物理学 2023-05-29 Issei Sakai , Takuma Akimoto

The very notion of a current fluctuation is problematic in the quantum context. We study that problem in the context of nonequilibrium statistical mechanics, both in a microscopic setup and in a Markovian model. Our answer is based on a…

统计力学 · 物理学 2015-05-14 Jan Derezinski , Wojciech De Roeck , Christian Maes

The one-dimensional totally asymmetric simple exclusion process (TASEP), a Markov process describing classical hard-core particles hopping in the same direction, is considered on a periodic lattice of $L$ sites. The relaxation to the…

统计力学 · 物理学 2016-03-09 Sylvain Prolhac

Using the Feynman-Kac formula, a work fluctuation theorem for a Brownian particle in a nonconfining potential, e.g., a potential well with finite depth, is derived. The theorem yields aninequality that puts a lower bound on the average work…

统计力学 · 物理学 2021-02-12 Christoph Streißnig , Holger Kantz

Near equilibrium, small current fluctuations are described by a Gaussian with a linear-response variance regulated by the dissipation. Here, we demonstrate that dissipation still plays a dominant role in structuring large fluctuations…

统计力学 · 物理学 2016-03-30 Todd R. Gingrich , Jordan M. Horowitz , Nikolay Perunov , Jeremy England

We show that in driven systems the Gaussian nature of the fluctuating force and time-reversibility are equivalent properties. This result together with the potential condition of the external force drastically restricts the form of the…

统计力学 · 物理学 2007-06-11 M. H. Vainstein , J. M. Rubi

When an isolated quantum system is driven out of equilibrium, expectation values of general observables start oscillating in time. This article reviews the general theory of such temporal fluctuations. We first survey some results on the…

统计力学 · 物理学 2015-09-02 Lorenzo Campos Venuti , Paolo Zanardi

Within the abstract framework of dynamical system theory we describe a general approach to the Transient (or Evans-Searles) and Steady State (or Gallavotti-Cohen) Fluctuation Theorems of non-equilibrium statistical mechanics. Our main…

数学物理 · 物理学 2011-06-21 Vojkan Jakšić , Claude-Alain Pillet , Luc Rey-Bellet

The weak correlation between spatiotemporal fluctuations in nonequilibrium complex systems is shown to govern the fluctuation distribution, maximizing the conditional entropy associated with such fluctuations. The result is illustrated in…

统计力学 · 物理学 2024-03-05 Yuichi Itto

The distribution of waiting times between successive tunneling events is an already established method to characterize current fluctuations in mesoscopic systems. Here, I investigate mechanisms generating correlations between subsequent…

介观与纳米尺度物理 · 物理学 2017-01-23 Krzysztof Ptaszynski

We prove density and current fluctuations for two examples of symmetric, interacting particle systems with anomalous diffusive behavior: the zero-range process with long jumps and the zero-range process with degenerated bond disorder. As an…

概率论 · 数学 2009-01-05 M. Jara

Current fluctuations are studied in a mesoscopic conductor using non-equilibrium Keldysh technique. We derive a general expression for the fluctuations in the presence of a time dependent voltage, valid for arbitrary relation between…

凝聚态物理 · 物理学 2007-05-23 B. L. Altshuler , L. S. Levitov , A. Yu. Yakovets

Non-equilibrium systems are often characterized by the transport of some quantity at a macroscopic scale, such as, for instance, a current of particles through a wire. The Asymmetric Simple Exclusion Process (ASEP) is a paradigm for…

统计力学 · 物理学 2013-05-30 Mieke Gorissen , Alexandre Lazarescu , Kirone Mallick , Carlo Vanderzande

We consider a quasi-periodically identified conical spacetime, like the one of a cosmic string or disclination, to investigate nonzero averaged quantum vacuum fluctuations effects on the energy-momentum tensor and induced current density…

高能物理 - 理论 · 物理学 2020-08-26 K. E. L. de Farias , H. F. Santana Mota

The generalized totally asymmetric exclusion process (TASEP) [J. Stat. Mech. P05014 (2012)] is an integrable generalization of the TASEP equipped with an interaction, which enhances the clustering of particles. The process interpolates…

数学物理 · 物理学 2015-02-24 A. E. Derbyshev , A. M. Povolotsky , V. B. Priezzhev

As a continuation of a previous work [B. Horv\'ath et al., Phys. Rev. B {\bf 82}, 165129 (2010)], here we extend the so-called Fluctuation Exchange Approximation (FLEX) to study the non-equilibrium singlet-triplet transition. We show that,…

强关联电子 · 物理学 2011-11-30 Bertalan Horváth , Bence Lazarovits , Gergely Zaránd

The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

统计力学 · 物理学 2017-11-16 Robert Marsland , Jeremy England

In this paper, we analyze the random fluctuations in a one dimensional stochastic homogenization problem and prove a central limit result, i.e., the first order fluctuations can be described by a Gaussian process that solves an SPDE with…

概率论 · 数学 2015-08-24 Yu Gu

The violation of symmetry between the time series of elongation and contraction rates of phase-space point spacings is studied to examine the chaos in perturbed harmonic oscillator systems. A transition from integrability to…

统计力学 · 物理学 2007-05-23 Shigeyasu Fujiwara