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On the molecular distribution of a hard‐sphere gas

 

作者: J. Güémez,   S. Velasco,  

 

期刊: American Journal of Physics  (AIP Available online 1987)
卷期: Volume 55, issue 2  

页码: 154-157

 

ISSN:0002-9505

 

年代: 1987

 

DOI:10.1119/1.15234

 

出版商: American Association of Physics Teachers

 

关键词: STATISTICAL MECHANICS;HARD−SPHERE MODEL;GASES;SPATIAL DISTRIBUTION;HYPERGEOMETRIC FUNCTIONS

 

数据来源: AIP

 

摘要:

Given a gas ofN0hard‐sphere molecules in a vessel of volumeV0, one shows in a simple way that the probabilityWN0(N,V,V0) thatNmolecules are located in a subvolumeVofV0is given by the hypergeometric distribution. One shows that this distribution can be written as the product of the binomial distribution, which characterizes the ideal gas, and a factor which takes into account the size of the molecules. In the limit of low densities, one checks in two cases of practical interest that the derived distribution presents slight deviations from the corresponding ideal behavior.

 

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