NASA NTRS · 19720026567
Brownian motion from Boltzmann's equation.
Abstract
Two apparently disparate lines of inquiry in kinetic theory are shown to be equivalent: (1) Brownian motion as treated by the (stochastic) Langevin equation and Fokker-Planck equation; and (2) Boltzmann's equation. The method is to derive the kinetic equation for Brownian motion from the Boltzmann equation for a two-component neutral gas by a simultaneous expansion in the density and mass ratios.
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Montgomery, D.. 1971-10-01. Brownian motion from Boltzmann's equation.. https://ntrs.nasa.gov/citations/19720026567
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