On metastability in nearly-elastic systems

Wenqing Hu

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)65-86
Number of pages22
JournalAsymptotic Analysis
Volume79
Issue number1-2
DOIs
StatePublished - Sep 3 2012

Keywords

  • Markov processes on graphs
  • averaging
  • large deviations
  • metastability
  • random walk

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