Article
On Metastability in Nearly-Elastic Systems
Asymptotic Analysis
Abstract
We consider a nearly-elastic model system with one degree of freedom. In each collision with the "wall", the system can either lose or gain a small amount of energy due to stochastic perturbation. The weak limit of the corresponding slow motion, which is a stochastic process on a graph, is calculated. A large deviation type asymptotics and the metastability of the system are also considered.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Asymptotics,
- Averaging,
- Degree of freedom,
- Large deviations,
- Metastabilities,
- Model system,
- Random Walk,
- Slow motion,
- Stochastic perturbations,
- Asymptotic analysis,
- Mathematical techniques,
- Markov processes,
- Averaging,
- Large deviations,
- Markov processes on graphs,
- Metastability,
- Random walk
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 IOS Press and the authors, All rights reserved.
Publication Date
1-1-2012
Publication Date
01 Jan 2012
Disciplines
Citation Information
Wenqing Hu. "On Metastability in Nearly-Elastic Systems" Asymptotic Analysis Vol. 79 Iss. 2019-01-02 (2012) p. 65 - 86 ISSN: 0921-7134 Available at: http://works.bepress.com/wenqing-hu/7/