Small Mass Asymptotics for a Charged Particle in a Magnetic Field and Long-Time Influence of Small Perturbations |
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Authors: | Sandra Cerrai Mark Freidlin |
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Institution: | 1.Department of Mathematics,University of Maryland,College Park,USA |
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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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Keywords: | |
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