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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…

Statistical Mechanics · Physics 2014-04-10 Andrea Gnoli , Andrea Puglisi , Alessandro Sarracino , Angelo Vulpiani

In this review, we scrutinize historical and modern results on the linear response of dynamical systems to external perturbations with a particular emphasis on the celebrated relationship between fluctuations and dissipation expressed by…

We study the non-equilibrium version of the fluctuation dissipation (FD) relation in the glass phase of a trap model that is driven into a non-equilibrium steady state by external ``shear''. This extends our recent study of ageing FD…

Statistical Mechanics · Physics 2007-05-23 Suzanne Fielding , Peter Sollich

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…

Statistical Mechanics · Physics 2007-05-23 Nicolas Garnier , Ciliberto Sergio

In order to describe the thermodynamics of the glassy systems it has been recently introduced an extra parameter also called effective temperature which generalizes the fluctuation-dissipation theorem (FDT) to systems off-equilibrium and…

Disordered Systems and Neural Networks · Physics 2015-06-24 Adan Garriga , Felix Ritort

For systems close to equilibrium, the relaxation properties of measurable physical quantities are described by the linear response theory and the fluctuation-dissipation theorem (FDT). Accordingly, the response or the generalized…

Statistical Mechanics · Physics 2012-07-11 Bartlomiej Dybiec , Juan M. R. Parrondo , Ewa Gudowska-Nowak

We present numerical tests of the fluctuation-dissipation theorem (FDT) in the dumbbell model of spin ice with parameters suitable for dysprosium titanate. The tests are made for local spin variables, magnetic monopole density, and energy.…

Statistical Mechanics · Physics 2022-04-29 Valentin Raban , Ludovic Berthier , Peter C. W. Holdsworth

The violation of the Fluctuation-Dissipation Theorem (FDT) in a two-dimensional Ising model with both ferromagnetic exchange and antiferromagnetic dipolar interactions is established and investigated via Monte Carlo simulations. Through the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Daniel A. Stariolo , Sergio A. Cannas

We report the results of molecular dynamics simulations of the protein myosin carried out with an elastic network model. Quenching the system, we observe glassy behavior of a density correlation function and a density response function that…

Statistical Mechanics · Physics 2007-07-09 Kumiko Hayashi , Mitsunori Takano

The fluctuation dissipation theorem (FDT) is the basis for a microscopic description of the interaction between electromagnetic radiation and matter.By assuming the electromagnetic radiation in thermal equilibrium and the interaction in the…

Statistical Mechanics · Physics 2018-05-22 Lino Reggiani , Eleonora Alfinito

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time…

Quantum Physics · Physics 2018-05-28 Mohammad Mehboudi , Anna Sanpera , Juan M. R. Parrondo

We give a brief review of violations of the fluctuation-dissipation theorem (FDT) in out-of-equilibrium systems; in mean field scenarios the corresponding fluctuation-dissipation (FD) plots can, in the limit of long times, be used to define…

Statistical Mechanics · Physics 2007-05-23 P Sollich , S Fielding , P Mayer

A time-domain formulation of the equilibrium quantum fluctuation-dissipation theorem (FDT) in the whole range of temperatures is presented. In the classical limit, the FDT establishes a proportionality relation between the dissipative part…

Statistical Mechanics · Physics 2009-10-31 Noelle Pottier , Alain Mauger

We introduce and solve a model of a thermometric measurement on a driven glassy system in a stationary state. We show that a thermometer with a sufficiently slow response measures a temperature higher than that of the environment, but that…

Statistical Mechanics · Physics 2009-10-31 Raphael Exartier , Luca Peliti

The fluctuation-dissipation relation (FDR) is measured on the dielectric properties a polymer glass (polycarbonate). It is observed that the fluctuation dissipation theorem is strongly violated for a quench from above to below the glass…

Disordered Systems and Neural Networks · Physics 2009-11-10 L. Buisson , S. Ciliberto

The Modified Fluctuation Dissipation Theorem (MFDT) proposed by G. Verley et al. {\it (EPL 93, 10002, (2011))} for non equilibrium transient states is experimentally studied. We apply MFDT to the transient relaxation dynamics of the…

Statistical Mechanics · Physics 2015-09-30 Isaac Theurkauff , Aude Caussarieu , Artyom Petrosyan , Sergio Ciliberto

Complex systems such as glasses, gels, granular materials, and systems far from equilibrium exhibit violation of the ergodic hypothesis (EH) and of the fluctuation-dissipation theorem (FDT). Recent investigations in systems with memory have…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. H. Vainstein , I. V. L. Costa , F. A. Oliveira

The absence of a simple fluctuation-dissipation theorem is a major obstacle for studying systems that are not in thermodynamic equilibrium. We show that for a fluid in a non-equilibrium steady state characterized by a constant temperature…

Statistical Mechanics · Physics 2024-07-03 T. R. Kirkpatrick , D. Belitz

The fluctuation dissipation theorem~(FDT) is a hallmark of thermal equilibrium systems in the Gibbs state. We address the question whether the FDT is obeyed by isolated quantum systems in an energy eigenstate. In the framework of the…

Statistical Mechanics · Physics 2020-08-05 Jae Dong Noh , Takahiro Sagawa , Joonhyun Yeo

The fluctuation-dissipation theorem (FDT) plays a fundamental role in understanding quantum many-body problems. However, its applicability is limited to equilibrium systems and it does in general not hold in nonequilibrium situations. This…

Strongly Correlated Electrons · Physics 2010-03-22 D. Lobaskin , S. Kehrein