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

被引：15

作者：

Cerrai, Sandra ^{[1
]}

Freidlin, Mark ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2011年 / 144卷 / 01期

基金：

美国国家科学基金会;

关键词：

Smoluchowski-Kramers approximation; Averaging; Stochasticity in dynamical systems; BEHAVIOR;

D O I：

10.1007/s10955-011-0238-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：101 / 123

页数：23

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