Plasma Waves as Averaged Collective Motions of Individual Particles
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Date
1991-06
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Addis Ababa University
Abstract
The Vlasov kinetic equation for plasma that is usually treated as a
collisionless approximation is shown to satisfy the complete BBGKY hierarchy
after some modification of the latter, thus being an exact solution of it.
Based on the perturbation method originated from this exact solution, linearized
equations for averaged deflections of plasma particles from their unperturbed
self-consistent trajectories are derived to be used for the
investigation of plasma waves. Instead of the Maxwell equations for electromagnetic
fields their solutions in the Lienard-Wiechert form are used. All
the known results of the ordinary linear theory of plasma oscillations and
waves are shown to be reproducable in this approach, but in addition, small
corrections of the first order in the plasma parameter due to the Debye
screening are obtained. A simple consideration of a rarefied plasma in a
strong magnetic field is given indicating the possibility of a non-cyclotron
character of the motion of the particles that may be important for the plasma
confinements in magnetic traps
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Plasma Waves as Averaged