Fluctuation-dissipation relations: achievements and misunderstandings

G.N. Bochkov^a, Yu.E. Kuzovlev^b
^aN.I. Lobachevskii Nizhnii Novgorod State University, prosp. Gagarina 23, Nizhnii Novgorod, Russian Federation
^bA.A. Galkin Donetsk Physical-Technical Institute, ul. R. Lyuksemburg 72, Donetsk, 340114, Ukraine

We discuss the “generalized fluctuation-dissipation relations (theorems)” introduced for the first time in our works of 1977–1984 as statistical-thermodynamical consequences of time symmetry (reversibility) of microscopic dynamics. It is shown, in particular, that various similar relations, including the “fluctuation theorems”, that have appeared during and since the 1990s are essentially the alternative formulations or special cases of our old results.

PACS: 05.20.−y, 05.40.−a, 05.70.−a (all)
DOI: 10.3367/UFNe.0183.201306d.0617
URL: https://ufn.ru/en/articles/2013/6/c/
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000324296600003
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2013PhyU...56..590B
Citation: Bochkov G N, Kuzovlev Yu E "Fluctuation-dissipation relations: achievements and misunderstandings" Phys. Usp. 56 590–602 (2013)

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Received: 1st, August 2012, revised: 23rd, April 2013, accepted: 7th, May 2013

Оригинал: Бочков Г Н, Кузовлев Ю Е «Флуктуационно-диссипационные соотношения: достижения и недоразумения» УФН 183 617–630 (2013); DOI: 10.3367/UFNr.0183.201306d.0617