The diffusion noise source and the steady state fluctuation-dissipation theorem for a Boltzmann gas

Carolyn M. Van Vliet

Physica A: Statistical Mechanics and its Applications, 1985, vol. 133, issue 1, 35-52

Abstract: The current noise source of a system in interaction with a reservoir is the diffusion noise source. This source is first derived heuristically and secondly by solving the stochastic Boltzmann equation. For a classical gas this can be done far out of equilibrium; the source then yields in a close to exact way a steady-state fluctuation-dissipation theorem. Near equilibrium an exact result is also obtainable for a quantum gas; the result then yields Nyquist's theorem or the well-known equilibrium fluctuation-dissipation theorem. The occurrence of various types of diffusion coefficients is also further discussed.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:133:y:1985:i:1:p:35-52

DOI: 10.1016/0378-4371(85)90055-X

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