Intuitive and rigorous derivation of spontaneous emission and Landau damping of Langmuir waves through classical mechanics

Journal Article · Tue Oct 01 00:00:00 EDT 1996 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.871943· OSTI ID:383771

Escande, D F; Zekri, S; Elskens, Y ^[1]

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1. Equipe Turbulence Plasma de l`URA 773 CNRS---Universite de Provence, Institut Mediterraneen de Technologie, F-13451 Marseille cedex 20 (France)

Classical mechanics provides the intuitive and unified description of spontaneous emission, Landau growth and damping of Langmuir waves, the cold beam{endash}plasma instability, and van Kampen modes. This is done by studying the interaction between {ital M} weak modes of a plasma without resonant particles and {ital N} quasiresonant particles, which leads to an exactly solvable high-dimensional Floquet problem. Growth corresponds to an eigenmode of the system, whereas damping requires statistical averaging. Both imply synchronization of near-resonant particles with waves, and the corresponding force on individual particles is computed explicitly. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 383771
• Journal Information: Physics of Plasmas, Vol. 3, Issue 10; Other Information: PBD: Oct 1996
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION
PLASMA WAVES
CLASSICAL MECHANICS
LANDAU DAMPING
TURBULENCE
BEAM-PLASMA SYSTEMS
KINETIC EQUATIONS
HAMILTONIAN FUNCTION