Effect of the polarization drift in a strongly magnetized plasma

Daniel Han-Kwan

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

  • Volume: 46, Issue: 4, page 929-947
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Han-Kwan, Daniel. "Effect of the polarization drift in a strongly magnetized plasma." ESAIM: Mathematical Modelling and Numerical Analysis 46.4 (2012): 929-947. <http://eudml.org/doc/276388>.

@article{Han2012,
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.},
author = {Han-Kwan, Daniel},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Vlasov-Poisson equation; strong magnetic field regime; finite Larmor radius scaling; electric drift; polarization drift; oscillations in time},
language = {eng},
month = {2},
number = {4},
pages = {929-947},
publisher = {EDP Sciences},
title = {Effect of the polarization drift in a strongly magnetized plasma},
url = {http://eudml.org/doc/276388},
volume = {46},
year = {2012},
}

TY - JOUR
AU - Han-Kwan, Daniel
TI - Effect of the polarization drift in a strongly magnetized plasma
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2012/2//
PB - EDP Sciences
VL - 46
IS - 4
SP - 929
EP - 947
AB - 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.
LA - eng
KW - Vlasov-Poisson equation; strong magnetic field regime; finite Larmor radius scaling; electric drift; polarization drift; oscillations in time
UR - http://eudml.org/doc/276388
ER -

References

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