Derivation of the Fluctuation-Dissipation Theorem

K. M. van Vliet
Phys. Rev. 109, 1021 – Published 15 February 1958
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Abstract

A simple derivation is given of the fluctuation-dissipation theorem or generalized Nyquist formula. The proof is based on a solution of the Langevin equation for a thermodynamic variable according to Ornstein's method; in this way the correlation function and the spectrum are obtained directly in the desired form.

  • Received 29 July 1957

DOI:https://doi.org/10.1103/PhysRev.109.1021

©1958 American Physical Society

Authors & Affiliations

K. M. van Vliet

  • Department of Electrical Engineering, University of Minnesota, Minneapolis, Minnesota

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Issue

Vol. 109, Iss. 4 — February 1958

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