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We discuss fluctuation relations in simple cases of non-equilibrium Langevin dynamics. In particular, we show that close to non-equilibrium steady states with non-vanishing probability currents some of these relations reduce to a modified…

Statistical Mechanics · Physics 2009-11-13 Raphael Chetrite , Gregory Falkovich , Krzysztof Gawedzki

We study the fluctuations of the autocorrelation and autoresponse functions and, in particular, their variances and co-variance. In a first general part of the Article, we show the equivalence of the variance of the response function with…

Statistical Mechanics · Physics 2015-05-18 Federico Corberi , Eugenio Lippiello , Alessandro Sarracino , Marco Zannetti

We prove a general inequality between the charge current and its fluctuations valid for any non-interacting coherent electronic conductor and for any stationary out-of-equilibrium condition, thereby going beyond established…

Mesoscale and Nanoscale Physics · Physics 2024-07-15 Ludovico Tesser , Janine Splettstoesser

Edges of some quantum Hall liquids and a number of other systems exhibit chiral transport: excitations can propagate in one direction only, e.g., clockwise. We derive a family of fluctuation-dissipation relations in non-equilibrium steady…

Statistical Mechanics · Physics 2013-01-22 Chenjie Wang , D. E. Feldman

We derive fluctuation-dissipation relations for a tunnel junction driven by a high impedance microwave resonator, displaying strong quantum fluctuations. We find that the fluctuation-dissipation relations derived for classical forces hold,…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 O. Parlavecchio , C. Altimiras , J. -R. Souquet , P. Simon , I. Safi , P. Joyez , D. Vion , P. Roche , D. Esteve , F. Portier

We derive an exact expression of the response function to an infinitesimal magnetic field for an Ising-Glauber-like model with arbitrary exchange couplings. The result is expressed in terms of thermodynamic averages and does not depend on…

Condensed Matter · Physics 2009-11-10 Christophe Chatelain

We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven…

Statistical Mechanics · Physics 2013-10-29 P. I. Hurtado , A. Lasanta , A. Prados

The fluctuation-dissipation relation, a central result in non-equilibrium statistical physics, relates equilibrium fluctuations in a system to its linear response to external forces. Here we provide a direct experimental verification of…

Soft Condensed Matter · Physics 2017-11-15 Shuvojit Paul , Abhrajit Laskar , Rajesh Singh , Basudev Roy , R. Adhikari , Ayan Banerjee

Green-Kubo and Einstein expressions for the transport coefficients of a fluid in a nonequilibrium steady state can be derived using the Fluctuation Theorem and by assuming the probability distribution of the time-averaged dissipative flux…

Statistical Mechanics · Physics 2009-10-31 Debra J. Searles , Denis J. Evans

In this paper we show that Onsager--Machlup time reversal properties of thermodynamic fluctuations and Onsager reciprocity relations for transport coefficients can hold also if the microscopic dynamics is not reversible. This result is…

adap-org · Physics 2012-08-29 D. Gabrielli , G. Jona-Lasinio , C. Landim

By using recent developments for the Langevin dynamics of spatially asymmetric systems, we routinely generalize the Onsager-Machlup fluctuation theory of the second order in time. In this form, it becomes applicable to fluctuating…

Statistical Mechanics · Physics 2016-12-28 Roman Belousov , E. G. D. Cohen

We study the effect of a strong electric field on the fluctuation conductivity within the time-dependent Ginzburg-Landau theory for the case of arbitrary dimension. Our results are based on the analytical derivation of the velocity…

Superconductivity · Physics 2009-11-07 Todor Mishonov , Anna Posazhennikova , Joseph Indekeu

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 McLennan-Zubarev steady state distribution is studied in the connection with fluctuation theorems. We derive the McLennan-Zubarev steady state distribution from the nonequilibrium detailed balance relation. Then, considering the…

Statistical Mechanics · Physics 2017-03-08 Mitsusada M. Sano

An equilibrium system which is perturbed by an external potential relaxes to a new equilibrium state, a process obeying the fluctuation-dissipation theorem. In contrast, perturbing by nonconservative forces yields a nonequilibrium steady…

Statistical Mechanics · Physics 2019-12-17 Kiryl Asheichyk , Matthias Krüger

By analogy with linear-response we formulate the duality and reciprocity properties of current and voltage fluctuations expressed by Nyquist relations including the intrinsic bandwidths of the respective fluctuations. For this purpose we…

Statistical Mechanics · Physics 2016-09-14 Lino Reggiani , Eleonora Alfinito , Tilmann Kuhn

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Gregory Bulnes Cuetara , Massimiliano Esposito , Pierre Gaspard

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 put forward a relation between the static charge fluctuations and the conductance of correlated many-fermion systems at zero temperature, avoiding the use of time-dependent fluctuations as in the fluctuation-dissipation theorem. Static…

Strongly Correlated Electrons · Physics 2022-04-18 Yuchi He , Dante M. Kennes , Volker Meden

We performed numerical experiments on a two-dimensional driven lattice gas, which constitutes a simple stochastic nonequilibrium many-body model. In this model, focusing on the behavior along the direction transverse to the external driving…

Statistical Mechanics · Physics 2009-11-11 Kumiko Hayashi