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Article Dans Une Revue Electronic Journal of Probability Année : 2010

Uniform estimates for metastable transition times in a coupled bistable system

Résumé

We consider a coupled bistable N-particle system 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.
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Dates et versions

hal-00400832 , version 1 (01-07-2009)
hal-00400832 , version 2 (26-02-2010)

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Florent Barret, Anton Bovier, Sylvie Méléard. Uniform estimates for metastable transition times in a coupled bistable system. Electronic Journal of Probability, 2010, 15 (12). ⟨hal-00400832v2⟩
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