English

Small mass asymptotics of a charged particle in a variable magnetic field

Probability 2013-10-18 v1

Abstract

We consider small mass asymptotics of the motion of a charged particle in a noisy force field combined with a variable magnetic field. The Smoluchowski-Kramers approximation does not hold in this case. We show that after a regularization of noise, a Smoluchowski-Kramers type approximation works.

Keywords

Cite

@article{arxiv.1310.4816,
  title  = {Small mass asymptotics of a charged particle in a variable magnetic field},
  author = {Jong Jun Lee},
  journal= {arXiv preprint arXiv:1310.4816},
  year   = {2013}
}