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Suprathermal drift through a warm collisional plasma: evolutional solution

Published online by Cambridge University Press:  13 March 2009

Lim Chee-Seng
Affiliation:
Department of Mathematics, National University of Singapore, Singapore 0511, Republic of Singapore

Abstract

Evolutional drift-theory representations are used to consider suprathermal drift of a switched-on electron through a warm collisional plasma. The general suprathermal solution for an arbitrarily time-varying electron is made up of two nontrivial constituents. One of these exists in the interior R2 of an expanding thermal front Г. The other exists in a drifting-extending region R1 enclosed by part of Г, together with a sheet that diverges downstream from the suprathermal electron (outside Г) and terminates tangentially at Г. The solution vanishes identically beyond R1, R2 and their boundaries. Two- and three-dimensional closed forms of an exact solution are next extracted in R1 for the pulsating electron with complex frequency. Furthermore, two-dimensional near-ultimate state results are asymptotically derived deep within R2 for a real electron frequency and a collisionless plasma. Hyperbolic/hyperboloidal attenuation normally affects space-time dissipation.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1986

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