The fluctuation-dissipation theorem (fluctuation-dissipation relation) is one of the central results of statistical mechanics. The original formulation is due Nyquist (1928) and proven by
The classical form is obtained from the linear response theory by Kubo.
Ryogo Kubo, The fluctuation-dissipation theorem, pdf
R. Kubo, M. Toda, Statistical physics I, II, Springer (see vol. II)
Robert Zwanzig, Nonequilibrium statistical mechanics, Oxford University Press 2001
U.M.B. Marconi, A. Puglisi, L. Rondoni, A. Vulpiani, Fluctuation-dissipation: response theory in statistical physics, Physics Reports. 461 (4–6): 111–195 (2008)arXiv:0803.0719 doi
There are now generalizations in nonequilibrium thermodynamics.
See also wikipedia: Jarzynski equality, fluctuation-dissipation theorem
See also azimuth: Effective thermodynamics for a marginal observer (2018) and articles listed therein, including M. Polettini, M. Esposito, Effective fluctuation and response theory, arxiv/1803.03552
Related Lab entries include statistical physics, thermodynamics, dissipation, stochastic process, Langevin equation, Brownian motion, white noise, Schwinger-Keldysh formalism
Last revised on July 6, 2024 at 00:11:30. See the history of this page for a list of all contributions to it.