On Metastability in Nearly-Elastic Systems
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.
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
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)
Article - Journal
© 2012 IOS Press and the authors, All rights reserved.
01 Jan 2012