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Transport in partially degenerate, magnetized plasmas. Part 1. Collision operators

Published online by Cambridge University Press:  01 December 1997

S. R. BROWN
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2BZ, UK
M. G. HAINES
Affiliation:
Blackett Laboratory, Imperial College, London SW7 2BZ, UK

Abstract

The quantum Boltzmann collision operator is expanded to yield a degenerate form of the Fokker–Planck collision operator. This is analysed using Rosenbluth potentials to give a degenerate analogue of the Shkarofsky operator. The distribution function is then expanded about an equilibrium Fermi–Dirac distribution function using a tensor perturbation formulation to give a zeroth-order and a first-order collision operator. These equations are shown to satisfy the relevant conservation equations. It is shown that the distribution function relaxes to a Fermi–Dirac form through electron–electron collisions.

Type
Research Article
Copyright
1997 Cambridge University Press

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