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arXiv · 1811.06944

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·A. M. Varonov
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Abstract

We re-derive the Nyquist theorem and Callen-Welton fluctuation-dissipation theorem (FDT) 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.

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T. M. Mishonov, I. M. Dimitrova, A. M. Varonov. 2018-11-16. Callen-Welton fluctuation dissipation theorem and Nyquist theorem as a consequence of detailed balance principle applied to an oscillator. https://doi.org/10.1016/j.physa.2019.121577

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