Fluctuation-dissipation theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-29

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Fluctuation-dissipation_theorem


00:01:22 1 Qualitative overview and examples
00:03:34 2 Examples in detail
00:04:19 2.1 Brownian motion
00:05:34 2.2 Thermal noise in a resistor
00:06:40 3 General formulation
00:13:10 4 Derivation
00:22:08 5 Violations in glassy systems
00:23:20 6 Quantum version
00:24:01 7 See also



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SUMMARY
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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. Given that a system obeys detailed balance, the theorem is a general proof that thermal fluctuations in a physical variable  predict the response quantified by the admittance or impedance of the same physical variable (like Voltage, Temperature difference, etc), and vice versa. The fluctuation–dissipation theorem applies both to classical and quantum mechanical systems.
The fluctuation–dissipation theorem relies on the assumption that the response of a system in thermodynamic equilibrium to a small applied force is the same as its response to a spontaneous fluctuation. Therefore, the theorem connects the linear response relaxation of a system from a prepared non-equilibrium state to its statistical fluctuation properties in equilibrium. Often the linear response takes the form of one or more exponential decays.
The fluctuation–dissipation theorem was originally formulated by Harry Nyquist in 1928, and later proven by Herbert Callen and Theodore A. Welton in 1951.