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Modification of the general theorem of equipartition: Application to the relativistic ideal gas

 

作者: H. A. Buchdahl,  

 

期刊: American Journal of Physics  （AIP Available online 1984）
卷期: Volume 52, issue 9  

页码: 802-804

 

ISSN:0002-9505

 

年代: 1984

 

DOI:10.1119/1.13518

 

出版商: American Association of Physics Teachers

 

关键词: gases;statistical mechanics;relativistic range;phase space;partition functions;energy;hamiltonians

 

数据来源: AIP

 

摘要:

According to the general theorem of equipartition 〈χ∂H/∂χ〉=kT, where χ is any appropriate coordinate or component of momentum. More generally, iffis any suitable function of the coordinates and momenta 〈 f∂H/∂χ〉=kT〈∂f/∂χ〉. This relation is used to obtain by elementary means relations describing the dependence of the energy of a relativistic ideal gas upon the parameterkT/mc2.

 

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