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Approximation de rayon de Larmor fini pour les plasmas magnétisés collisionnels. Finite Larmor radius approximation for collisional magnetized plasmas

Mihai Bostan 1 Céline Caldini Queiros 2, 3
2 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : In this Note, we present the derivation of the finite Larmor radius approximation, when collisions are taken into account. We concentrate on the Boltzmann relaxation operator whose study reduces to the gyroaverage computation of velocity convolutions, which are detailed here. We emphasize that the resulting gyroaverage collision kernel is not local in space anymore and that the standard physical properties (i.e., mass balance, entropy inequality) hold true only globally in space and velocity. This work is a first step in this direction and it will allow us to handle more realistic collisional mechanisms, like the Fokker-Planck or Fokker-Planck-Landau kernels (Bostan and Caldini-Queiros (submitted for publication))
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https://hal.inria.fr/hal-00759816
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Submitted on : Tuesday, December 4, 2012 - 2:14:29 PM
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Mihai Bostan, Céline Caldini Queiros. Approximation de rayon de Larmor fini pour les plasmas magnétisés collisionnels. Finite Larmor radius approximation for collisional magnetized plasmas. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2012. ⟨hal-00759816⟩

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