English

Efficacy of a magnetic shield against a Vlasov-Poisson plasma

Mathematical Physics 2019-09-09 v1 math.MP

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>0x_1>0. The confinement is the result of a balance between a magnetic field and an external field, both singular at x1=0x_1=0; the magnetic field forbids the entrance of plasma particles in the region x10x_1 \leq 0, whereas the external field attracts the plasma particles towards x1=0x_1=0. The plasma has finite total charge and velocities distributed with a Maxwell-Boltzmann law.

Keywords

Cite

@article{arxiv.1903.07433,
  title  = {Efficacy of a magnetic shield against a Vlasov-Poisson plasma},
  author = {Silvia Caprino and Guido Cavallaro and Carlo Marchioro},
  journal= {arXiv preprint arXiv:1903.07433},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1602.04164, arXiv:1706.08734