English

On metastability in nearly-elastic systems

Probability 2012-08-31 v1 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1202.0577,
  title  = {On metastability in nearly-elastic systems},
  author = {Wenqing Hu},
  journal= {arXiv preprint arXiv:1202.0577},
  year   = {2012}
}
R2 v1 2026-06-21T20:14:08.915Z