Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 144, Issue 1, Pages 101-123Publisher
SPRINGER
DOI: 10.1007/s10955-011-0238-3
Keywords
Smoluchowski-Kramers approximation; Averaging; Stochasticity in dynamical systems
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Funding
- NSF [DMS0907295, DMS 0803287, 0854982]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [854982] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0907295] Funding Source: National Science Foundation
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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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