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A simple model for the study of free Brownian motion

 

作者: R. S. Modak,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 1  

页码: 43-46

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13848

 

出版商: American Association of Physics Teachers

 

关键词: brownian movement;probability;velocity distribution;langevin equation;fluids;particles;collisions;mathematical models

 

数据来源: AIP

 

摘要:

The relation representing the fluctuation–dissipation theorem for a free Brownian particle suspended in a fluid is derived from first principles using a simple model for the collisions of fluid molecules on a Brownian particle. This result is crucial in deriving the probability distribution for the velocity of a Brownian particle from the Langevin equation. The assumptions used in the model and its implications are also discussed.

 

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