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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.
@article{M2AN_2012__46_4_929_0,
author = {Han-Kwan, Daniel},
title = {Effect of the polarization drift in a strongly magnetized plasma},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {929--947},
publisher = {EDP-Sciences},
volume = {46},
number = {4},
year = {2012},
doi = {10.1051/m2an/2011068},
mrnumber = {2891475},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011068/}
}
TY - JOUR AU - Han-Kwan, Daniel TI - Effect of the polarization drift in a strongly magnetized plasma JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2012 SP - 929 EP - 947 VL - 46 IS - 4 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011068/ DO - 10.1051/m2an/2011068 LA - en ID - M2AN_2012__46_4_929_0 ER -
%0 Journal Article %A Han-Kwan, Daniel %T Effect of the polarization drift in a strongly magnetized plasma %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2012 %P 929-947 %V 46 %N 4 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2011068/ %R 10.1051/m2an/2011068 %G en %F M2AN_2012__46_4_929_0
Han-Kwan, Daniel. Effect of the polarization drift in a strongly magnetized plasma. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 46 (2012) no. 4, pp. 929-947. doi: 10.1051/m2an/2011068
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