Beat Hamiltonians and generalized ponderomotive forces in hot magnetized plasma

Author:

Johnston Shayne,Kaufman Allan N.,Johnston George L.

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.

Publisher

Cambridge University Press (CUP)

Subject

Condensed Matter Physics

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1. Ponderomotive acceleration of hot electrons in tenuous plasmas;Physical Review E;2009-09-15

2. Allan Kaufman's contributions to plasma wave theory;Journal of Physics: Conference Series;2009-05-01

3. A half-century in plasma physics;Journal of Physics: Conference Series;2009-05-01

4. Nonadiabatic tunneling in ponderomotive barriers;Physical Review E;2006-11-28

5. Theory of stimulated scattering of large-amplitude waves;Journal of Plasma Physics;1995-04

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