On metastability in nearly-elastic systems

Wenqing Hu

doi:10.3233/ASY-2011-1090

On metastability in nearly-elastic systems

Wenqing Hu

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English (US)
Pages (from-to)	65-86
Number of pages	22
Journal	Asymptotic Analysis
Volume	79
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-2011-1090
State	Published - Sep 3 2012

Keywords

Markov processes on graphs
averaging
large deviations
metastability
random walk

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AB - 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.

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KW - metastability

KW - random walk

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On metastability in nearly-elastic systems

Abstract

Keywords

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