Callen-Welton fluctuation dissipation theorem and Nyquist theorem as a consequence of detailed balance principle applied to an oscillator
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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- September 2019
- DOI:
- 10.1016/j.physa.2019.121577
- arXiv:
- arXiv:1811.06944
- Bibcode:
- 2019PhyA..53021577M
- Keywords:
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- Callen-Welton fluctuation dissipation theorem;
- Nyquist theorem;
- Fluctuations;
- Oscillator;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 6 pages, 1 figure