On Metastability in Nearly-Elastic Systems

Author

Wenqing Hu, Missouri University of Science and TechnologyFollow

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.

Recommended Citation

W. Hu, "On Metastability in Nearly-Elastic Systems," Asymptotic Analysis, vol. 79, no. 2019-01-02, pp. 65 - 86, IOS Press, Jan 2012.

The definitive version is available at https://doi.org/10.3233/ASY-2011-1090

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

International Standard Serial Number (ISSN)

0921-7134

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

01 Jan 2012