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Kinetic equations for plasmas subjected to a strong time-dependent external field. Part 1. General theory

Published online by Cambridge University Press:  13 March 2009

R. Balescu  and
J. H. Misguich
R. Balescu
Affiliation:
Association Euratom.Etat Belge, Faculté des Sciences, Université Libre de Bruxelles, 1050 Bruxelles
J. H. Misguich
Affiliation:
Association Euratom-CEA sur la Fusion, Départemont de Physique du Plasma et de la Fusion Contrôlée, Centre d'Etudes Nucléaires, Boîte Postale no. 6, 92260 Fontenay-aux.Roses, France
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Abstract

It is shown that the concept of subdynamics introduced by Prigogine, George & Henin, and extended by Balescu & Wallenborn, can be generalized nontrivially to systems submitted to time-dependent external fields. The distribution vector of the system is split into two components by means of a time- dependent projection operator. Each of these obeys an independent equation of evolution. The description of the evolution of one of these components (the superkinetic component) can be reduced to a kinetic equation for a one-particle distribution function. It is shown that, when the external field vanishes for all times t ≤ t0, and if the system has reached a (field-free) equilibrium (or a ‘kinetic state’) at time t0, then for t ≥ t0 the kinetic equation derived here provides an exact and complete description of the evolution. A general expression for the nonlinear response of the system to the external field is derived.

Type
Research Article
Information
Journal of Plasma Physics , Volume 11 , Issue 3 , June 1974 , pp. 357 - 375
Copyright
Copyright © Cambridge University Press 1974

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