| Título: | Uniform Estimates for Metastable Transition Times in a Coupled Bistable System |
| Autores: |
Barret, Florent; École Polytechnique Bovier, Anton; Rheinische Friedrich-Wilhelms-Universität Méléard, Sylvie; École Polytechnique |
| Fecha: | 2010-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Metastability; coupled bistable systems; stochastic Ginzburg-Landau equation; metastable transition time; capacity estimates 82C44; 60K35 |
| Descripción: | We consider a coupled bistable $N$-particle system on $\mathbb{R}^N$ driven by a Brownian noise, with a strong coupling corresponding to the synchronised regime. Our aim is to obtain sharp estimates on the metastable transition times between the two stable states, both for fixed $N$ and in the limit when $N$ tends to infinity, with error estimates uniform in $N$. These estimates are a main step towards a rigorous understanding of the metastable behavior of infinite dimensional systems, such as the stochastically perturbed Ginzburg-Landau equation. Our results are based on the potential theoretic approach to metastability. |
| Idioma: | No aplica |
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