The Effective Vlasov--Poisson System for the Finite Larmor Radius Regime
نویسندگان
چکیده
منابع مشابه
The Vlasov-Poisson system with strong external magnetic field. Finite Larmor radius regime
We study here the finite Larmor radius regime for the Vlasov-Poisson equations with strong external magnetic field. The derivation of the limit model follows by formal expansion in power series with respect to a small parameter. If we replace the particle distribution by the center distribution of the Larmor circles the limit of these densities satisfies a transport equation, whose velocity is ...
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The presence of a large external magnetic field in a plasma introduces an additional time-scale which is very constraining for the numerical simulation. Hence it is very useful to introduce averaged models which remove this time-scale. However, depending on other parameters of the plasma, different starting models for the asymptotic analysis may be considered. We introduce here a generic framew...
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Following Frénod and Sonnendrücker ([12]), we consider the finite Larmor radius regime for a plasma submitted to a large magnetic field and take into account both the quasineutrality and the local thermodynamic equilibrium of the electrons. We then rigorously establish the asymptotic gyrokinetic limit of the rescaled and modified Vlasov-Poisson system in a three-dimensional setting with the hel...
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Informed by insights from quantum chaos theory, three approaches for estimating finite-Larmor-radius (FLR) stabilization of ideal magnetohydrodynamic (MHD) instabilities are discussed: phase space criteria based on the Weyl formula, “pseudo-FLR” modifications of MHD to suppress large perpendicular wavenumbers, and inclusion of drift corrections to the dispersion relation. PACS numbers: 52.35.Bj...
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The Vlasov-Poisson-Fokker-Planck system under the high field scaling describes the Brownian motion of a large system of particles in a surrounding bath where both collision and field effects (electrical or gravitational) are dominant. Numerically solving this system becomes challenging due to the stiff collision term and stiff nonlinear transport term with respect to the high field. We present ...
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ژورنال
عنوان ژورنال: Multiscale Modeling & Simulation
سال: 2016
ISSN: 1540-3459,1540-3467
DOI: 10.1137/16m1060479