Perturbations in the velocity distribution in a collisionless plasma

Details Perturbations in the velocity distribution in a collisionless plasma Perturbations in the velocity distribution in a collisionless plasma

Jan 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jgr....90..370d&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 90, Jan. 1, 1985, p. 370-376.

Physics

1

Collisionless Plasmas, Plasma Dynamics, Plasma Oscillations, Space Plasmas, Velocity Distribution, Approximation, Distribution Functions, Particle Trajectories, Plasma Waves

Scientific paper

Variations in the velocity distributions of a collisionless plasma are investigated analytically, on the basis of linear theory and the method of Robertson et al. (1981). The constants of motion energy and canonical momentum are obtained assuming the periodicity of any particle trajectory in the plasma. The constants are used to develop a simple condition to determine the direction of energy exchange between resonant particles in an element and a wave, which is a generalized formulation of the energization of a wave by an overtaking beam. A Larmor radius expansion is performed including the second harmonic of the trajectory frequency in order to determine the dependence of velocity distribution perturbations on gyrophase. It is found that the third Fourier component of the Larmor radius is of second order, and formulas are obtained for the Fourier components up to the second order. It is concluded that when Larmor radius is valid, fine structure in velocity distribution arises only from resonances. The analysis is expected to be useful in the design of numerical fluid simulations of collisionless plasmas.

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