This article is cited in 34 papers

METHODOLOGICAL NOTES

Fluctuation–dissipation relations. Achievements and misunderstandings

G. N. Bochkov^a, Yu. E. Kuzovlev<sup>b

a</sup> Lobachevsky State University of Nizhny Novgorod
^b Galkin Donetsk Institute for Physics and Engineering, National Academy of Sciences of Ukraine

Abstract: We discuss the ‘generalized fluctuation–dissipation relations (theorems)’ introduced for the first time in our work of 1977–1984 as statistical-thermodynamic consequences of time symmetry (reversibility) of microscopic dynamics. We show, in particular, that various similar relations, including ‘fluctuation theorems’ that have appeared since the 1990s, are, in essence, alternative formulations or special cases of our old results.

Keywords: fluctuation-dissipation relations and theorems, rigorous results of non-equilibrium statistical mechanics, non-equilibrium statistical thermodynamics, dynamical foundations of kinetics.

PACS: 05.20.-y, 05.40.-a, 05.70.-a

Received: August 1, 2012
Revised: April 23, 2013
Accepted: May 7, 2013

DOI: 10.3367/UFNr.0183.201306d.0617

 English version: Physics–Uspekhi, 2013, 56:6, 590–602

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