Effect of the polarization drift in a strongly magnetized plasma
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 46 (2012) no. 4, p. 929-947

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.

DOI : https://doi.org/10.1051/m2an/2011068
Classification:  35Q83,  76X05,  82D10
Keywords: Vlasov-Poisson equation, strong magnetic field regime, finite larmor radius scaling, electric drift, polarization drift, oscillations in time
@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 - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {4},
     year = {2012},
     pages = {929-947},
     doi = {10.1051/m2an/2011068},
     mrnumber = {2891475},
     language = {en},
     url = {http://www.numdam.org/item/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 - Modélisation Mathématique et Analyse Numérique, Volume 46 (2012) no. 4, pp. 929-947. doi : 10.1051/m2an/2011068. http://www.numdam.org/item/M2AN_2012__46_4_929_0/

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