When is quasi-linear theory exact

Details When is quasi-linear theory exact When is quasi-linear theory exact

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975plph...17...15j&link_type=abstract

Plasma Physics, vol. 17, Jan. 1975, p. 15-22.

Physics

Plasma Physics

4

Charged Particles, Distribution Functions, Fokker-Planck Equation, Integral Equations, Particle Acceleration, Vlasov Equations, Adiabatic Conditions, Differential Equations, Electric Fields, Kinetic Equations, Magnetic Fields, Particle Motion, Particle Theory, Plasma Oscillations

Scientific paper

We use the cumulant expansion technique of Kubo (1962, 1963) to derive an integrodifferential equation for the average one-particle distribution function for particles being accelerated by electric and magnetic fluctuations of a general nature. For a very restricted class of fluctuations, the equation for this function degenerates exactly to a differential equation of Fokker-Planck type. Quasi-linear theory, including the adiabatic assumption, is an exact theory only for this limited class of fluctuations.

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