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Beat Hamiltonians and generalized ponderomotive forces in hot magnetized plasma

Published online by Cambridge University Press:  13 March 2009

Shayne Johnston ,
Allan N. Kaufman  and
George L. Johnston
Shayne Johnston
Affiliation:
Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
Allan N. Kaufman
Affiliation:
Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
George L. Johnston
Affiliation:
Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
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Abstract

A novel approach to the theory of nonlinear mode coupling in hot magnetized plasma is presented. The formulation retains the conceptual simplicity of the familiar ponderomotive-scalar-potential method, but removes the approximations. The essence of the approach is a canonical transformation of the single-particle Hamiltonian, designed to eliminate those interaction terms which are linear in the fields. The new entity (the ‘oscillation centre’) then has no first-order uttering motion, and generalized ponderomotive forces appear as nonlinear terms in the transformed Hamiltonian. This viewpoint is applied to derive a compact symmetric formula for the general three-wave coupling coefficient in hot uniform magnetized plasma, and to extend the conventional ponderomotive-scalar-potential method to the domain of strongly magnetized plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 20 , Issue 3 , December 1978 , pp. 365 - 390
Copyright
Copyright © Cambridge University Press 1978

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