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Test Particle Method in Kinetic Theory of a Plasma

 

作者: Norman Rostoker,  

 

期刊: Physics of Fluids(00319171)  (AIP Available online 1964)
卷期: Volume 7, issue 4  

页码: 491-498

 

ISSN:0031-9171

 

年代: 1964

 

DOI:10.1063/1.1711228

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A test particle of coordinatesX= (x, v) is surrounded by a shield cloud of field particles of coordinatesX′ characterized by a conditional probability functionP(X|X′t). A relationship has been found between this function, the one‐particle functionf(X, t) and the two‐particle correlation functionG(X, X′;t). It isG(X, X′;t)=f(Xt)P(X | X′t)+f(X′t)P(X′ | Xt)+ndX″ f(X″,t)P(X″ | Xt)P(X″ | X′t).The first two terms indicate that each of the two particles involved is a test particle as well as part of the shield cloud of the other particle. The last term corresponds to the two particles shielding a third particle. This relation has been established without solving explicitly for anything and has none of the usual restrictions such as spatial homogeneity, adiabatic time behavior, etc., usually necessary for obtaining explicit solutions. It is useful because the problem of kinetic theory is reduced to determiningPwhich involves only the Vlasov equation. In addition, superposition principles for fluctuations, etc., are apparent at the outset.

 

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