Diffusion of electrons by multicharged ions. (English) Zbl 1012.82022
Summary: Here we consider a magnetized plasma composed of electrons of low mean density and of one species of multicharged ions. Starting with the Vlasov-Fokker-Planck equations for both particles, we derive a diffusion model for the electrons, with explicit transport coefficients which are related to the ions. Finally, we study the kinetic boundary layers in the case of a bounded domain in space variables. For that purpose, we are led to study a Milne problem and to introduce a generalized extrapolation length.
MSC:
82D10 | Statistical mechanics of plasmas |
35Q40 | PDEs in connection with quantum mechanics |
76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
82C31 | Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics |
82C70 | Transport processes in time-dependent statistical mechanics |
Keywords:
Milner problem; magnetized plasma; Vlasov-Fokker-Planck equations; diffusion model; explicit transport coefficientsReferences:
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