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Assuming an effective quadratic Hamiltonian, we derive an approximate, linear stochastic equation of motion for the density-fluctuations in liquids, composed of overdamped Brownian particles. From this approach, time dependent two point…

Soft Condensed Matter · Physics 2017-04-26 Matthias Krüger , David S. Dean

A diffusive system coupled to unequal boundary reservoirs reaches a non-equilibrium steady state. While the full-counting-statistics of current fluctuations in these states are well understood for generic systems, results for steady-state…

Statistical Mechanics · Physics 2026-01-29 Soumyabrata Saha , Tridib Sadhu

In glassy materials aging proceeds at large times via thermal activation. We show that this can lead to negative dynamical response functions and novel and well-defined violations of the fluctuation-dissipation theorem, in particular,…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Sébastien Léonard , Ludovic Berthier , Juan P. Garrahan , Peter Sollich

Near equilibrium, where all currents of a system vanish on average, the fluctuation-dissipation relation (FDR) connects a current's spontaneous fluctuations with its response to perturbations of the conjugate thermodynamic force. Out of…

Statistical Mechanics · Physics 2016-11-02 Bernhard Altaner , Matteo Polettini , Massimiliano Esposito

Theoretical treatments of frictional granular matter often assume that it is legitimate to invoke classical elastic theory to describe its coarse-grained mechanical properties. Here we show, based on experiments and numerical simulations,…

Soft Condensed Matter · Physics 2021-02-24 Anaël Lemaître , Chandana Mondal , Itamar Procaccia , Saikat Roy , Yinqiao Wang , Jie Zhang

We extend the framework of forward and reverse processes commonly utilized in the derivation and analysis of the nonequilibrium work relations to thermodynamic processes with repeated discrete feedback. Within this framework, we derive a…

Statistical Mechanics · Physics 2010-12-16 Jordan M. Horowitz , Suriyanarayanan Vaikuntanathan

The validity of Einstein's fluctuation-dissipation relation is discussed in respect to the type of relaxation in an isothermal system. The first model, presuming isothermic fluctuations, leads to the Einstein formula. The second model…

Statistical Mechanics · Physics 2011-04-08 Roumen Tsekov

We study the Fluctuation Theorem (FT) for entropy production in chaotic discrete-time dynamical systems on compact metric spaces, and extend it to empirical measures, all continuous potentials, and all weak Gibbs states. In particular, we…

Mathematical Physics · Physics 2026-02-13 Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet , Armen Shirikyan

We proposed in an earlier paper [arXiv:1108.6141] an empirical formula of the electrical conductivity which agrees with experiments within 20 percent for the most of pure elemental metals at room temperature ranges. This is obtained, in…

Statistical Mechanics · Physics 2011-09-28 Tadashi Hirayama

Correlation functions in concentrated ionic systems are studied within the mesoscopic theory at the level of the Gaussian approximation. The previously neglected fluctuation contribution to the inverse charge-charge correlation function is…

Soft Condensed Matter · Physics 2025-06-26 O. Patsahan , A. Ciach

For the first time, we calculate the heating rate, attractive conservative and tangential dissipative fluctuation electromagnetic forces felt by a thick plate moving parallel to a closely spaced another plate in rest using the retarded…

Other Condensed Matter · Physics 2009-08-25 G. V. Dedkov , A. A. Kyasov

D.J. Evans, et al., [Phys. Rev. Lett. 71, 2401 (1993)] discovered a relation, subsequently known as the Fluctuation Theorem (FT), which quantifies the probability of observing fluctuations violating the second law of thermodynamics in…

Statistical Mechanics · Physics 2017-05-19 A. Y. Gorobets , J. M. Borrero , S. Berdyugina

We investigate the fluctuations around the average density profile in the weakly asymmetric exclusion process with open boundaries in the steady state. We show that these fluctuations are given, in the macroscopic limit, by a centered…

Other Condensed Matter · Physics 2009-11-11 B. Derrida , C. Enaud , C. Landim , S. Olla

The calculation of response functions in correlated electronic systems is one of the most important problems in the condensed matter physics. To obtain a physical response function, preserving both the Ward-Takahashi identity and the…

Strongly Correlated Electrons · Physics 2023-02-22 Hui Li , Zhipeng Sun , Yingze Su , Haiqing Lin , Huaqing Huang , Dingping Li

The fluctuating hydrodynamics by Brey et. al. is analytically solved to get the long-time limit of the fluctuations of the number density, velocity field, and energy density around the homogeneous cooling state of a granular gas, under…

Statistical Mechanics · Physics 2023-11-27 Jesús David Jiménez Oliva , Pablo Rodriguez-Lopez , Nagi Khalil

We study the density of specular reflection points in the geometrical optics limit when light scatters off fluctuating interfaces and membranes in thermodynamic equilibrium. We focus on the statistical mechanics of both capillary-gravity…

Soft Condensed Matter · Physics 2018-12-26 Amir Azadi , David R. Nelson

We propose an indirect way of studying the fluctuation-dissipation relation in spin-glasses that only uses available susceptibility data. It is based on a dynamic extension of the Parisi-Toulouse approximation and a Curie-Weiss treatment of…

Statistical Mechanics · Physics 2009-10-31 Leticia F. Cugliandolo , Daniel R. Grempel , Jorge Kurchan , Eric Vincent

In this paper we numerically examine the connection of the Gallavotti-Cohen fluctuation formula and the functional form of the corresponding probability density function in the field driven Lorentz gas thermostated by the Gaussian…

Chaotic Dynamics · Physics 2007-05-23 M. Dolowschiak , Z. Kovacs

Without violating causality, we allow performing measurements in time reverse process of a feedback manipulated stochastic system. As a result we come across an entropy production due to the measurement process. This entropy production, in…

Statistical Mechanics · Physics 2015-06-17 A. Kundu

In cond-mat/0002074 Ricci-Tersenghi et al. find two linear regimes in the fluctuation-dissipation relation between density-density correlations and associated responses of the Frustrated Ising Lattice Gas. Here we show that this result does…

Statistical Mechanics · Physics 2009-11-07 A. de Candia , A. Coniglio