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Busoni, Giorgio; Frosali, Giovanni

On the long time behaviour of runaway solutions in charged particle transport. (English) Zbl 0870.76071

Transp. Theory Stat. Phys. 25, No. 3-5, 353-367 (1996).
Summary: We study the long-time behaviour of the solutions of the linear Boltzmann equation for charged particles in a three-dimensional spatially homogeneous system under the influence of an external electric field and in the presence of a source term. The runaway phenomenon and the decay to steady state solutions are considered. Finally, we formally derive and study the equation for the non-equilibrium steady-state distribution in the presence of a time-independent source.

MSC:

76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
78A35 Motion of charged particles

Keywords:

linear Boltzmann equation; three-dimensional spatially homogeneous system; external electric field; non-equilibrium steady-state distribution; time-independent source
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References:

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