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

Article type: Research Article

Authors: Lee, Jong Jun

Affiliations: Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA

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: small mass asymptotics, Smoluchowski–Kramers approximation, homogenization

DOI: 10.3233/ASY-131185

Journal: Asymptotic Analysis, vol. 86, no. 2, pp. 99-121, 2014

Published: 2014
Price: EUR 27.50
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