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In equilibrium, the fluctuation-dissipation theorem (FDT) expresses the response of an observable to a small perturbation by a correlation function of this variable with another one that is conjugate to the perturbation with respect to…

统计力学 · 物理学 2010-10-13 Udo Seifert , Thomas Speck

The condition of thermal equilibrium simplifies the theoretical treatment of fluctuations as found in the celebrated Einstein's relation between mobility and diffusivity for Brownian motion. Several recent theories relax the hypothesis of…

统计力学 · 物理学 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

The quantum XXZ spin-1/2 chain features non-Gaussian spin current fluctuations in the regime of easy-axis anisotropy. Using ballistic macroscopic fluctuation theory, we derive the exact probability distribution of typical spin-current…

统计力学 · 物理学 2026-03-27 Takato Yoshimura , Žiga Krajnik , Alvise Bastianello , Enej Ilievski

We study deterministic continuous-time lossy dynamical flow networks with constant exogenous demands, fixed routing, and finite flow and buffer capacities. In the considered model, when the total net flow in a cell ---consisting of the…

动力系统 · 数学 2019-12-05 Leonardo Massai , Giacomo Como , Fabio Fagnani

Characterizing current fluctuations in a steady state is of fundamental interest and has attracted considerable attention in the recent past. However, the bulk of the studies are limited to systems that either do not exhibit a phase…

统计力学 · 物理学 2024-12-05 Tanmoy Chakraborty , Punyabrata Pradhan , Kavita Jain

In the past the study of reaction-diffusion systems has greatly contributed to our understanding of the behavior of many-body systems far from equilibrium. In this paper we aim at characterizing the properties of diffusion limited reactions…

统计力学 · 物理学 2015-05-14 Sven Dorosz , Michel Pleimling

We show for Markov diffusion processes that the quadratic entropic bound, recently derived for the rate functions of nonequilibrium currents, can be seen as being produced by an effective process that creates current fluctuations in a…

统计力学 · 物理学 2023-03-30 Cesare Nardini , Hugo Touchette

Universality, where microscopic details become irrelevant, takes place in thermodynamic phase transitions. The universality is captured by a singular scaling function of the thermodynamic variables, where the scaling exponents are…

统计力学 · 物理学 2018-11-16 Ohad Shpielberg , Takahiro Nemoto , João Caetano

Detailed fluctuation theorem, a microscopic version of the steady state fluctuation theorem, has been proposed by Jarzynski and demonstrated in the case of Hamiltonian systems weakly coupled with reservoirs. We show that an identical…

统计力学 · 物理学 2010-07-20 K. Gururaj , G. Raghavan , M. C. Valsakumar

In this paper, we present a general derivation of a modified fluctuation-dissipation theorem (MFDT) valid near an arbitrary non-stationary state for a system obeying markovian dynamics. We show that the method to derive modified…

统计力学 · 物理学 2011-12-23 Gatien Verley , Raphaël Chétrite , David Lacoste

We generalize the Clausius (in)equality to overdamped mesoscopic and macroscopic diffusions in the presence of nonconservative forces. In contrast to previous frameworks, we use a decomposition scheme for heat which is based on an exact…

统计力学 · 物理学 2015-05-07 Christian Maes , Karel Netocny

In small systems where relevant energies are comparable to thermal agitation, fluctuations are of the order of average values. In systems in thermodynamical equilibrium, the variance of these fluctuations can be related to the dissipation…

统计力学 · 物理学 2007-05-23 Nicolas Garnier , Ciliberto Sergio

Recently (arXiv:0910.2870), we have derived a fluctuation theorem for systems in thermodynamic equilibrium compatible with anomalous response functions, e.g. the existence of states with \textit{negative heat capacities} $C<0$. In this…

统计力学 · 物理学 2013-07-31 L. Velazquez , S. Curilef

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

Using the fluctuation theorem supplemented with geometric arguments, we derive universal features of the (long-time) efficiency fluctuations for thermal and isothermal machines operating under steady or periodic driving, close or far from…

统计力学 · 物理学 2014-11-26 Gatien Verley , Tim Willaert , Christian Van den Broeck , Massimiliano Esposito

A positive rate of entropy production at steady state is a distinctive feature of truly non-equilibrium processes. Exact results, while being often limited to simple models, offer a unique opportunity to explore the thermodynamic features…

统计力学 · 物理学 2022-06-29 Henry Alston , Luca Cocconi , Thibault Bertrand

We study the off-diagonal current fluctuation in a macroscopic quantum system measured in an ideal manner that is as close as possible to the classical ideal measurement. We show rigorously that not only extended but also localized states…

介观与纳米尺度物理 · 物理学 2022-02-02 Kentaro Kubo , Kenichi Asano , Akira Shimizu

We consider a macroscopic system in contact with boundary reservoirs and/or under the action of an external field. We discuss the case in which the external forcing depends explicitly on time and drives the system from a nonequilibrium…

统计力学 · 物理学 2015-06-05 L. Bertini , D. Gabrielli , G. Jona-Lasinio , C. Landim

Any decomposition of the total trajectory entropy production for Markovian systems has a joint probability distribution satisfying a generalized detailed fluctuation theorem, when all the contributing terms are odd with respect to time…

统计力学 · 物理学 2010-10-26 Reinaldo Garcia-Garcia , Daniel Dominguez , Vivien Lecomte , Alejandro B. Kolton

In an adiabatically shielded system the total enthalpy is conserved. Enthalpy fluctuations of an arbitrarily chosen subsystem must be buffered by the remainder of the total system which serves as a heat reservoir. The magnitude of these…

生物物理 · 物理学 2015-06-16 Lars D. Mosgaard , Andrew D. Jackson , Thomas Heimburg
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