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UFN, 2013, Volume 183, Number 6, Pages 617–630 (Mi ufn4401)  

This article is cited in 23 scientific papers (total in 23 papers)


Fluctuation–dissipation relations. Achievements and misunderstandings

G. N. Bochkova, Yu. E. Kuzovlevb

a 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.


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

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PACS: 05.20.-y, 05.40.-a, 05.70.-a
Received: August 1, 2012
Revised: April 23, 2013
Accepted: May 7, 2013

Citation: G. N. Bochkov, Yu. E. Kuzovlev, “Fluctuation–dissipation relations. Achievements and misunderstandings”, UFN, 183:6 (2013), 617–630; Phys. Usp., 56:6 (2013), 590–602

Citation in format AMSBIB
\by G.~N.~Bochkov, Yu.~E.~Kuzovlev
\paper Fluctuation--dissipation relations. Achievements and misunderstandings
\jour UFN
\yr 2013
\vol 183
\issue 6
\pages 617--630
\jour Phys. Usp.
\yr 2013
\vol 56
\issue 6
\pages 590--602

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    18. Chvosta P., “Basics of Stochastic Thermodynamics”: Ryabov, A, Stochastic Dynamics and Energetics of Biomolecular Systems, Springer Theses, Springer-Verlag Berlin, 2016, 81–89  crossref  mathscinet  isi
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    23. Mandaiya A., Khaymovich I.M., “Time-Reversal Symmetric Crooks and Gallavotti-Cohen Fluctuation Relations in Driven Classical Markovian Systems”, J. Stat. Mech.-Theory Exp., 2019, 054006  crossref  isi
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