Ponderomotive effects in collisionless plasma: A Lie transform approach

Journal Article · Wed Jul 01 04:00:00 EDT 1981 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.863527· OSTI ID:6378074

Cary, J R; Kaufman, A N

A new method for the kinetic analysis of ponderomotive effects in collisionless plasma is presented. This method involves the application of the Lie-transform perturbation technique to the Hamiltonian formulation of the Vlasov equation. Basically, a new system, in which the high frequency oscillations are absent, is found. In this system the distribution function evolves according to a ponderomotive Hamiltonian, which is the kinetic generalization of the ponderomotive potential. It is shown that the ponderomotive Hamiltonian can easily be determined from the well-known linear susceptibility. This formalism is used to calculate several new results. Among these results are the general formula for the quasi-static density perturbation produced by a hot magnetoplasma wave, a generalization of previous formulas for the laser-generated quasi-static magnetic field, and the general formula for the ponderomotive gyrofrequency shift produced by an electromagnetic wave propagating at an arbitrary angle.

• Research Organization: Department of Physics and Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
• OSTI ID: 6378074
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 24:7; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
BOLTZMANN-VLASOV EQUATION
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
QUANTUM OPERATORS
RADIATIONS
WAVE PROPAGATION