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Small Mass Asymptotics for a Charged Particle in a Magnetic Field and Long-Time Influence of Small Perturbations

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Abstract

We consider small mass asymptotics of the motion of a charged particle in a potential combined with a magnetic field. After an appropriate regularization, a Smoluchowski-Kramers type approximation is established. This approximation allows to study long-time influence on the motion of various perturbations, deterministic and stochastic. In particular, even in the case of pure deterministic perturbations, the long-time evolution of the perturbed system can be stochastic.

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Sandra Cerrai & Mark Freidlin

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  1. Sandra Cerrai
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  2. Mark Freidlin
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Corresponding author

Correspondence to Sandra Cerrai.

Additional information

S. Cerrai partially supported by the NSF grant DMS0907295. M. Freidlin partially supported by the NSF grants DMS 0803287 and 0854982.

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Cerrai, S., Freidlin, M. Small Mass Asymptotics for a Charged Particle in a Magnetic Field and Long-Time Influence of Small Perturbations. J Stat Phys 144, 101–123 (2011). https://doi.org/10.1007/s10955-011-0238-3

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  • DOI: https://doi.org/10.1007/s10955-011-0238-3

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