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, National Academy of Sciences of Ukraine, 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.

Text can be downloaded in Russian. English translation is available on IOP Science.

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/
Citation: Bochkov G N, Kuzovlev Yu E "Fluctuation-dissipation relations: achievements and misunderstandings" Phys. Usp. 56 590–602 (2013)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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