Lie-operator approach to mode coupling in nonuniform plasma

Journal Article · Mon May 08 04:00:00 EDT 1978 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.40.1266· OSTI ID:6876863

Johnston, S; Kaufman, A N

Hamiltonian perturbation theory based on recent Lie transform techniques is applied to the Hamiltonian of a single particle in nonuniform Vlasov plasma. A simple relation is derived between the field-plasma interaction energy and the transformed single-particle Hamiltonian. This relation implies as special cases a general formula for ponderomotive force in terms of the linear Vlasov susceptibility, and a symmetric Poisson-bracket formula for the general three-mode coupling coefficient.

• Research Organization: Plasma Physics Laboratory, Columbia University, New York, New York 10027
• OSTI ID: 6876863
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 40:19; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

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BOLTZMANN-VLASOV EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
INHOMOGENEOUS PLASMA
KINETIC EQUATIONS
NONLINEAR PROBLEMS
PERTURBATION THEORY
PLASMA
PLASMA WAVES