Issues

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1987

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February

  

Methodological notes


Quantum Nyquist formula and the applicability ranges of the Callen-Welton formula

 a,  b, c
a Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
b Kapitza Institute of Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 117334, Russian Federation
c Dipartimento di Fisica, Università di Trento and BDC Center, Povo, Trento, I-38050, Italy

We discuss Yu. L. Klimontovich's objections to the generally accepted derivations of the fluctuation-dissipation theorem and his proposed additional restrictions on the applicability of this theorem. We demonstrate that Yu. L. Klimontovich's arguments contradict the basic principles of statistical physics and hence cannot be correct.

Fulltext pdf (190 KB)
Fulltext is also available at DOI: 10.1070/PU1987v030n02ABEH002813
PACS: 05.40.−a, 05.70.−a, 05.30.−d (all)
DOI: 10.1070/PU1987v030n02ABEH002813
URL: https://ufn.ru/en/articles/1987/2/f/
Citation: Ginzburg V L, Pitaevskii L P "Quantum Nyquist formula and the applicability ranges of the Callen-Welton formula" Sov. Phys. Usp. 30 168–171 (1987)
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Оригинал: Гинзбург В Л, Питаевский Л П «О квантовой формуле Найквиста и области применимости формулы Каллена — Вельтона (замечания о статье Ю. Л. Климонтовича)» УФН 151 333–339 (1987); DOI: 10.3367/UFNr.0151.198702f.0333

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  1. V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theoremSov. Phys. Usp. 30 134–152 (1987)
  2. Yu.L. Klimontovich “Fluctuation-dissipation relations. Role of the finiteness of the correlation time. Quantum generalization of Nyquist’s formulaSov. Phys. Usp. 30 154–167 (1987)
  3. G.N. Bochkov, Yu.E. Kuzovlev “Fluctuation-dissipation relations: achievements and misunderstandingsPhys. Usp. 56 590–602 (2013)
  4. D.N. Zubarev, Yu.G. Rudoi “On the evaluation of the correlation functions in quantum statistical physicsPhys. Usp. 36 (3) 188–191 (1993)
  5. I.P. Bazarov “Paradoxes of gas mixingSov. Phys. Usp. 19 271–273 (1976)
  6. O.G. Bakunin “Correlation and percolation properties of turbulent diffusionPhys. Usp. 46 733–744 (2003)
  7. E.E. Nikitin, L.P. Pitaevskii “Imaginary time and the Landau method of calculating quasiclassical matrix elementsPhys. Usp. 36 (9) 851–853 (1993)
  8. V.I. Klyatskin “Statistical topography and Lyapunov exponents in stochastic dynamical systemsPhys. Usp. 51 395–407 (2008)
  9. V.M. Rozenbaum, I.V. Shapochkina, L.I. Trakhtenberg “Green's function method in the theory of Brownian motorsPhys. Usp. 62 496–509 (2019)
  10. V.Yu. Shishkov, E.S. Andrianov et alRelaxation of interacting open quantum systemsPhys. Usp. 62 510–523 (2019)
  11. V.M. Rozenbaum, I.V. Shapochkina, L.I. Trakhtenberg “Quantum particle in a V-shaped well of arbitrary asymmetry. Brownian motorsPhys. Usp., accepted
  12. V.B. Braginskii “Adolescent years of experimental physicsPhys. Usp. 46 81–87 (2003)
  13. A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxationPhys. Usp. 39 745–750 (1996)
  14. V.K. Konyukhov, A.M. Prokhorov “Second law of thermodynamics and thermally excited quantum oscillatorsSov. Phys. Usp. 19 618–623 (1976)
  15. V.L. Ginzburg “The nature of spontaneous radiationSov. Phys. Usp. 26 713–719 (1983)
  16. S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particlesPhys. Usp. 42 573–590 (1999)
  17. V.V. Popkov, E.V. Shipitsyn “Golden section in the Carnot cyclePhys. Usp. 43 1155–1157 (2000)
  18. A.V. Eletskii, A.N. Starostin, M.D. Taran “Quantum corrections to the equilibrium rate constants of inelastic processesPhys. Usp. 48 281–294 (2005)
  19. V.I. Ritus “Finite value of the bare charge and the relation of the fine structure constant ratio for physical and bare charges to zero-point oscillations of the electromagnetic field in a vacuumPhys. Usp. 65 468–486 (2022)
  20. G.S. Golitsyn “A N Kolmogorov's 1934 paper is the basis for explaining the statistics of natural phenomena of the macrocosmPhys. Usp. 67 80–90 (2024)

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