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Quasi-particles in magnetized plasmas: second-order approximation

Published online by Cambridge University Press:  13 March 2009

Petro P. Sosenko†
Petro P. Sosenko†
Affiliation:
Institute for Electromagnetic Field Theory and Plasma Physics, Chalmers University of Technology, Göteborg, Sweden
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Abstract

A second-order approximation is formulated and studied within the context of the quasi-particle description of magnetized plasmas. The general case of relativistic particles in non-uniform but stationary magnetic fields, and in additional force fields that are strongly non-uniform but slowly evolving in time compared with particle gyrations with the cyclotron frequency, is considered. In order to reveal the physical significance of the second-order approximation, the mean (reduced) particle velocity is calculated up to second order, when polarization particle drift as well as the renormalization of the lower-order result become equally significant. A general expression for the velocity of particle polarization drift is obtained in terms of quasi-particle properties, and with account taken of finite-Larmor-radius effects and non-uniformity of magnetic fields. A guiding-centre transformation is found that makes it possible to achieve equal mean velocities of particle, guiding centre and quasi-particle up to second order. Then polarization drifts enter the particle, guiding-centre and quasi-particle equations of motion.

Type
Research Article
Information
Journal of Plasma Physics , Volume 53 , Issue 2 , April 1995 , pp. 223 - 234
Copyright
Copyright © Cambridge University Press 1995

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