×

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
Full Text: DOI

References:

[1] DOI: 10.1090/S0002-9947-1984-0743736-0 · doi:10.1090/S0002-9947-1984-0743736-0
[2] DOI: 10.1063/1.531567 · Zbl 0868.45006 · doi:10.1063/1.531567
[3] DOI: 10.1142/S0218202596000158 · Zbl 0853.76079 · doi:10.1142/S0218202596000158
[4] Degond B, Série pp 405– (1996)
[5] DOI: 10.1080/00411459608222915 · Zbl 0909.35108 · doi:10.1080/00411459608222915
[6] DOI: 10.1080/00411458708204307 · Zbl 0649.76065 · doi:10.1080/00411458708204307
[7] DOI: 10.1002/mma.1670110406 · Zbl 0679.35021 · doi:10.1002/mma.1670110406
[8] DOI: 10.1080/00411459808205811 · Zbl 0914.76096 · doi:10.1080/00411459808205811
[9] Poupaud, Asymptotic Anal. 4 pp 293– (1991)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.