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Brownian Motion from Boltzmann's Equation

 

作者: David Montgomery,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1971)
卷期: Volume 14, issue 10  

页码: 2088-2090

 

ISSN:0031-9171

 

年代: 1971

 

DOI:10.1063/1.1693297

 

出版商: AIP

 

数据来源: AIP

 

摘要:

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 motionfromthe Boltzmann equation for a two‐component neutral gas by a simultaneous expansion in the density and mass ratios.

 

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