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Effect of the polarization drift in a strongly magnetized plasma

Published online by Cambridge University Press:  03 February 2012

Daniel Han-Kwan
Daniel Han-Kwan*
Affiliation:
École Normale Supérieure, Département de Mathématiques et Applications, 45 rue d’Ulm, 75230 Paris Cedex 05 France. daniel.han-kwan@ens.fr
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Abstract

We consider a strongly magnetized plasma described by a Vlasov-Poisson system with a large external magnetic field. The finite Larmor radius scaling allows to describe its behaviour at very fine scales. We give a new interpretation of the asymptotic equations obtained by Frénod and Sonnendrücker [SIAM J. Math. Anal. 32 (2001) 1227–1247] when the intensity of the magnetic field goes to infinity. We introduce the so-called polarization drift and show that its contribution is not negligible in the limit, contrary to what is usually said. This is due to the non linear coupling between the Vlasov and Poisson equations.

Keywords

Vlasov-Poisson equationstrong magnetic field regimefinite Larmor radius scalingelectric driftpolarization driftoscillations in time
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 , Issue 4 , July 2012 , pp. 929 - 947
Copyright
© EDP Sciences, SMAI, 2012

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