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

V.L. Ginzburg^a, L.P. Pitaevskii^b, c
^aLebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
^bP.L. Kapitza Institute for Physical Problems, Russian Academy of Sciences, ul. Kosygina 2, Moscow, 119334, Russian Federation
^cDipartimento 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.

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)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

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

References (11) Cited by (18) Similar articles (20) ↓

V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theorem” Sov. Phys. Usp. 30 134–152 (1987)
Yu.L. Klimontovich “Fluctuation-dissipation relations. Role of the finiteness of the correlation time. Quantum generalization of Nyquist’s formula” Sov. Phys. Usp. 30 154–167 (1987)
G.N. Bochkov, Yu.E. Kuzovlev “Fluctuation-dissipation relations: achievements and misunderstandings” Phys. Usp. 56 590–602 (2013)
D.N. Zubarev, Yu.G. Rudoi “On the evaluation of the correlation functions in quantum statistical physics” Phys. Usp. 36 (3) 188–191 (1993)
M.V. Kondrin, Yu.B. Lebed’ et al “On the problem of thermodynamic fluctuations in computer simulations” Phys. Usp. 68 941–946 (2025)
V.M. Rozenbaum, I.V. Shapochkina, L.I. Trakhtenberg “Quantum particle in a V-shaped well of arbitrary asymmetry. Brownian motors” Phys. Usp. 67 1046–1055 (2024)
A.B. Brailovskii, V.L. Vaks, V.V. Mityugov “Quantum models of relaxation” Phys. Usp. 39 745–750 (1996)
V.L. Ginzburg “The nature of spontaneous radiation” Sov. Phys. Usp. 26 713–719 (1983)
V.Yu. Shishkov, E.S. Andrianov et al “Relaxation of interacting open quantum systems” Phys. Usp. 62 510–523 (2019)
S.M. Stishov “On the thermodynamics of simple systems” Phys. Usp. 67 912–918 (2024)
I.P. Bazarov “Paradoxes of gas mixing” Sov. Phys. Usp. 19 271–273 (1976)
V.K. Konyukhov, A.M. Prokhorov “Second law of thermodynamics and thermally excited quantum oscillators” Sov. Phys. Usp. 19 618–623 (1976)
E.E. Nikitin, L.P. Pitaevskii “Imaginary time and the Landau method of calculating quasiclassical matrix elements” Phys. Usp. 36 (9) 851–853 (1993)
A.V. Eletskii, A.N. Starostin, M.D. Taran “Quantum corrections to the equilibrium rate constants of inelastic processes” Phys. Usp. 48 281–294 (2005)
V.I. Klyatskin “Statistical topography and Lyapunov exponents in stochastic dynamical systems” Phys. Usp. 51 395–407 (2008)
V.B. Braginskii “Adolescent years of experimental physics” Phys. Usp. 46 81–87 (2003)
V.L. Ginzburg, V.P. Frolov “Vacuum in a homogeneous gravitational field and excitation of a uniformly accelerated detector” Sov. Phys. Usp. 30 1073–1095 (1987)
S.N. Gordienko “Irreversibility and the probabilistic treatment of the dynamics of classical particles” Phys. Usp. 42 573–590 (1999)
V.V. Popkov, E.V. Shipitsyn “Golden section in the Carnot cycle” Phys. Usp. 43 1155–1157 (2000)
O.G. Bakunin “Correlation and percolation properties of turbulent diffusion” Phys. Usp. 46 733–744 (2003)

The list is formed automatically.