On metastability in nearly-elastic systems

Details On metastability in nearly-elastic systems On metastability in nearly-elastic systems

2012-02-02

arxiv.org/abs/1202.0577v1

Mathematics

Probability

Scientific paper

10.3233/ASY-2011-1090

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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