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We study the relaxational dynamics of flux lines in high-temperature superconductors with random pinning using Langevin dynamics. At high temperatures the dynamics is stationary and the fluctuation dissipation theorem (FDT) holds. At low…

超导电性 · 物理学 2009-11-11 Sebastian Bustingorry , Leticia Cugliandolo , Daniel Dominguez

There is no simple fluctuation-dissipation theorem (FDT) for nonequilibrium systems. We show that for a fluid in a nonequilibrium steady state (NESS) characterized by a constant temperature gradient there is a generalized FDT that relates…

统计力学 · 物理学 2023-12-15 T. R. Kirkpatrick , D. Belitz

The nonequilibrium dynamics of a binary Lennard-Jones mixture in a simple shear flow is investigated by means of molecular dynamics simulations. The range of temperature investigated covers both the liquid, supercooled and glassy states,…

软凝聚态物质 · 物理学 2009-11-07 Ludovic Berthier , Jean-Louis Barrat

We introduce a functional perturbative method for treating weakly nonlinear systems coupled with a quantum field bath. We demonstrate using this method to obtain the covariance matrix elements and the correlation functions of a quantum…

高能物理 - 理论 · 物理学 2020-07-01 Jen-Tsung Hsiang , B. L. Hu

This paper derives and analyzes exact, nonlocal Langevin equations appropriate in a cosmological setting to describe the interaction of some collective degree of freedom with a surrounding ``environment.'' Formally, these equations are much…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Salman Habib , Henry E. Kandrup

Fluctuation-dissipation relation ensures thermodynamic equilibrium of a particle immersed in a heat bath. We will show that, under certain circumstances, the fluctuation-dissipation relation fails to ensure equilibrium between the immersed…

统计力学 · 物理学 2010-08-31 A Bhattacharyay

A linear response function (LRF) relates the mean-response of a nonlinear system to weak external forcings and vice versa. Even for simple models of the general circulation, such as the dry dynamical core, the LRF cannot be calculated from…

流体动力学 · 物理学 2016-05-25 Pedram Hassanzadeh , Zhiming Kuang

Nonintegrable systems thermalize, leading to the emergence of fluctuating hydrodynamics. Typically, this hydrodynamics is diffusive. We use the effective field theory (EFT) of diffusion to compute higher-point functions of conserved…

强关联电子 · 物理学 2024-02-14 Luca V. Delacretaz , Ruchira Mishra

In dissipative dynamical systems phase space volumes contract, on average. Therefore, the invariant measure on the attractor is singular with respect to the Lebesgue measure. As noted by Ruelle, a generic perturbation pushes the state out…

统计力学 · 物理学 2012-11-28 Matteo Colangeli , Lamberto Rondoni , Angelo Vulpiani

Fluctuation-dissipation relations (FDRs) and time-reversal symmetry (TRS), two pillars of statistical mechanics, are both broken in generic driven-dissipative systems. These systems rather lead to non-equilibrium steady states far from…

统计力学 · 物理学 2022-03-09 Daniel A. Paz , Mohammad F. Maghrebi

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

高能物理 - 理论 · 物理学 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

The present study is based on a recent success of the second-order stochastic fluctuation theory in describing time autocorrelations of equilibrium and nonequilibrium physical systems. In particular, it was shown to yield values of the…

统计力学 · 物理学 2017-08-23 Roman Belousov , E. G. D. Cohen , Lamberto Rondoni

The fluctuation-dissipation relation (FDR) is measured on the dielectric properties of a gel (Laponite) and of a polymer glass (polycarbonate). For the gel it is found that during the transition from a fluid-like to a solid-like state the…

材料科学 · 物理学 2016-08-31 L. Buisson , L. Bellon , S. Ciliberto

The fluctuation-dissipation theorem (FDT), connecting dielectric susceptibility and polarization noise was studied in glycerol below its glass transition temperature Tg. Weak FDT violations were observed after a quench from just above to…

无序系统与神经网络 · 物理学 2009-10-31 Tomas S. Grigera , N. E. Israeloff

We study a quantum particle coupled to hard-core bosons and propagating on disordered ladders with $R$ legs. The particle dynamics is studied with the help of rate equations for the boson-assisted transitions between the Anderson states. We…

强关联电子 · 物理学 2020-10-21 M. Mierzejewski , M. Sroda , J. Herbrych , P. Prelovsek

We study the dynamical behaviour of mesoscopic systems in contact with a thermal bath, described either via a non-linear Langevin equation at the trajectory level -- or the corresponding Fokker-Planck equation for the probability…

统计力学 · 物理学 2024-03-26 A. Patrón , B. Sánchez-Rey , E. Trizac , A. Prados

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…

统计力学 · 物理学 2026-01-29 Soumyabrata Saha , Tridib Sadhu

We study the equilibrium time correlations for the conserved fields of classical anharmonic chains and argue that their dynamic correlator can be predicted on the basis of nonlinear fluctuating hydrodynamics. In fact our scheme is more…

统计力学 · 物理学 2013-12-10 Christian B. Mendl , Herbert Spohn

We present a microscopic theory of cross-correlated noise processes, starting from a Hamiltonian system-reservoir description. In the proposed model, the system is nonlinearly coupled to a reservoir composed of harmonic oscillators, which…

We consider the stochastic dynamics of a system linearly coupled to a hierarchical thermal bath with two well-separated inherent timescales: one slow, and one fast. The slow part of the bath is modeled as a set of harmonic oscillators and…

统计力学 · 物理学 2019-06-05 A. V. Plyukhin