Efficacy of a magnetic shield against a Vlasov-Poisson plasma
Abstract
The aim of the paper is to test on a simple model how impenetrable may be a magnetic shield. We study the time evolution of a single species positive plasma, confined in the half-space x1>0. The confinement is the result of a balance between a magnetic field and an external field, both singular at x1=0; the magnetic field forbids the entrance of plasma particles in the region x1 ≤ 0, whereas the external field attracts the plasma particles towards x1=0. The plasma has finite total charge and velocities distributed with a Maxwell-Boltzmann law.
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