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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)

METHODOLOGICAL NOTES

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.

DOI: https://doi.org/10.3367/UFNr.0183.201306d.0617

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Full text: http://www.ufn.ru/.../d
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English version:
Physics–Uspekhi, 2013, 56:6, 590–602

Bibliographic databases:

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
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    10. Holubec V., Lips D., Ryabov A., Chvosta P., Maass Ph., “on Asymptotic Behavior of Work Distributions For Driven Brownian Motion”, Eur. Phys. J. B, 88:12 (2015), 340  crossref  adsnasa  isi  scopus
    11. Zulkowski P.R., DeWeese M.R., “Optimal Control of Overdamped Systems”, Phys. Rev. E, 92:3 (2015), 032117  crossref  mathscinet  adsnasa  isi  elib  scopus
    12. Jimenez-Aquino J.I., “Non-Markovian Work Fluctuation Theorem in Crossed Electric and Magnetic Fields”, Phys. Rev. E, 92:2 (2015), 022149  crossref  mathscinet  adsnasa  isi  elib  scopus
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    15. Muzikar P., “Unlikely Fluctuations and Non-Equilibrium Work Theorems—A Simple Example”, J. Phys. Chem. B, 120:25 (2016), 5720–5723  crossref  isi  elib  scopus
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    17. Chotorlishvili L., Azimi M., Stagraczynski S., Toklikishvili Z., Schueler M., Berakdar J., “Superadiabatic quantum heat engine with a multiferroic working medium”, Phys. Rev. E, 94:3 (2016), 032116  crossref  isi  elib  scopus
    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
    19. Shuman V.N., “on Prognostication Ability of Active Geosystems: Metastability and Steady Transitions Instead of Attractors”, Geofiz. Zhurnal, 38:6 (2016), 3–24  crossref  isi
    20. M. Moskalets, “High-temperature fusion of a multielectron leviton”, Phys. Rev. B, 97:15 (2018), 155411  crossref  isi  scopus
    21. J. I. Jimenez-Aquino, N. Sanchez-Salas, “Thermodynamic work statistics for Ornstein–Uhlenbeck-type heat baths”, Physica A, 509 (2018), 12–19  crossref  isi  scopus
    22. P. P. Potts, P. Samuelsson, “Detailed fluctuation relation for arbitrary measurement and feedback schemes”, Phys. Rev. Lett., 121:21 (2018), 210603  crossref  isi  scopus
    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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