Callen–Welton fluctuation dissipation theorem and Nyquist theorem as a consequence of detailed balance principle applied to an oscillator

T.M. Mishonov, I.M. Dimitrova and A.M. Varonov

Physica A: Statistical Mechanics and its Applications, 2019, vol. 530, issue C

Abstract: We rederive the Nyquist theorem and Callen–Welton fluctuation dissipation theorem as a consequence of detailed balance principle applied to a harmonic oscillator. The usage of electrical notions in the beginning makes the consideration understandable for every physicists. Perhaps it is the simplest derivation of these well-known theorems in statistical physics. The classical limit is understandable as a consequence of Waterston–Herapath equipartition theorem.

Keywords: Callen–Welton fluctuation dissipation theorem; Nyquist theorem; Fluctuations; Oscillator (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:530:y:2019:i:c:s0378437119309318

DOI: 10.1016/j.physa.2019.121577

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