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Methodological notes


Fluctuation-dissipation relations: achievements and misunderstandings

 a,  b
a N.I. Lobachevskii Nizhnii Novgorod State University, prosp. Gagarina 23, Nizhnii Novgorod, Russian Federation
b A.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.

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Fulltext is also available at DOI: 10.3367/UFNe.0183.201306d.0617
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/
000324296600003
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, 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

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  1. Gavrilov M, Zhang J et al Phys. Rev. E 109 (2) (2024)
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  5. Ding M, Liu F, Xing X Phys. Rev. Research 4 (4) (2022)
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  8. Potts P P, Samuelsson P Phys. Rev. E 100 (5) (2019)
  9. Mandaiya A, Khaymovich I M J. Stat. Mech. 2019 054006 (2019)
  10. Jiménez-Aquino J I, Sánchez-Salas N Physica A: Statistical Mechanics And Its Applications 509 12 (2018)
  11. Potts P P, Samuelsson P Phys. Rev. Lett. 121 (21) (2018)
  12. Moskalets M Phys. Rev. B 97 (15) (2018)
  13. Muzikar P J. Phys. Chem. B 120 5720 (2016)
  14. Jiménez-Aquino J I, Romero-Bastida M Phys. Rev. E 94 (3) (2016)
  15. Kuzovlev Yu E Jetp Lett. 103 234 (2016)
  16. Uribe F J, Velasco R M J Stat Phys 162 242 (2016)
  17. Ryabov A Stochastic Dynamics and Energetics of Biomolecular Systems Springer Theses Chapter 5 (2016) p. 81
  18. Chotorlishvili L, Azimi M et al Phys. Rev. E 94 (3) (2016)
  19. Jiménez-Aquino J I Phys. Rev. E 92 (2) (2015)
  20. Kuzovlev Yu E Uspekhi Fizicheskikh Nauk 185 773 (2015) [Kuzovlev Yu E Phys.-Usp. 58 719 (2015)]
  21. Prudnikov V V, Prudnikov P V et al Jetp Lett. 102 167 (2015)
  22. Zulkowski P R, DeWeese M R Phys. Rev. E 92 (3) (2015)
  23. Holubec V, Lips D et al Eur. Phys. J. B 88 (12) (2015)
  24. Prudnikov P V, Prudnikov V V, Popov I S Jetp Lett. 101 539 (2015)
  25. Prudnikov P V, Prudnikov V V, Pospelov E A Jetp Lett. 98 619 (2014)
  26. Colangeli M, Lucarini V J. Stat. Mech. 2014 P01002 (2014)
  27. Moskalets M Phys. Rev. Lett. 112 (20) (2014)
  28. Silaev M, Heikkilä T T, Virtanen P Phys. Rev. E 90 (2) (2014)
  29. Verley G, Van den Broeck Christian, Esposito M New J. Phys. 16 095001 (2014)
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