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Unified kinetic theory of plasma correlations

Published online by Cambridge University Press:  13 March 2009

Michael A. Guillen  and
Richard L. Liboff
Michael A. Guillen
Affiliation:
Schools of Electrical Engineering and Applied Physics, Cornell University, Ithaca, NY 14853, U.S.A.
Richard L. Liboff
Affiliation:
Schools of Electrical Engineering and Applied Physics, Cornell University, Ithaca, NY 14853, U.S.A.
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Abstract

A unified approach to the kinetic theory of correlations in a plasma is presented, based on the BBKGY hierarchy. The theory is applied to a one-component plasma with the Coulomb interaction modified to include effects of the background. Closed integro-differential equations in space, momentum and time are obtained for the two-particle correlation function in both the strong and weak coupling limits. To corroborate the theory, the formalism is applied in the equilibrium limit. In the weak-coupling domain, γ ≪ 1, the time-independent analysis returns the well-known linearized Debye-Hückel result, where γ is the plasma parameter. In the strong-coupling domain with γ ≥ 1, the resulting two-particle ‘total’ correlation function exhibits decaying oscillatory behaviour for particle separation of the order of the effective interparticle range. Exponential behaviour of the correlation function found for small values of particle separation agrees with previous results of statistical mechanics.

Type
Research Article
Information
Journal of Plasma Physics , Volume 32 , Issue 1 , August 1984 , pp. 81 - 98
Copyright
Copyright © Cambridge University Press 1984

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