The Fluctuation-Dissipation Theorem relates the spontaneous thermal fluctuations of a physical system in equilibrium to the way that same system dissipates energy when weakly disturbed from equilibrium, showing both are governed by the same underlying response function. First established in specific form by Harry Nyquist and later generalized by Herbert Callen and Theodore Welton, it is a foundational result of statistical mechanics connecting equilibrium noise to non-equilibrium linear response, with the Einstein relation for Brownian motion as an early special case.
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Source Fluctuation-dissipation theorem (Wikipedia)
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1. Fluctuation-dissipation theorem (Wikipedia)
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The fluctuation-dissipation theorem was proven by Herbert Callen and Theodore Welton in 1951 and expanded by Ryogo Kubo.
Fluctuation-dissipation theorem (Wikipedia)
In Branch: Mathematical Physics, Lead paragraph
The fluctuation-dissipation theorem (FDT) or fluctuation-dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior of systems that obey detailed balance.
In Group: Statistical Mechanics and Thermodynamics, Lead section
relation (FDR) is a powerful tool in statistical physics for predicting the behavior of systems that obey
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