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2010 Uniform Estimates for Metastable Transition Times in a Coupled Bistable System
Florent Barret, Anton Bovier, Sylvie Méléard
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Electron. J. Probab. 15: 323-345 (2010). DOI: 10.1214/EJP.v15-751


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.


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Florent Barret. Anton Bovier. Sylvie Méléard. "Uniform Estimates for Metastable Transition Times in a Coupled Bistable System." Electron. J. Probab. 15 323 - 345, 2010.


Accepted: 9 April 2010; Published: 2010
First available in Project Euclid: 1 June 2016

zbMATH: 1191.82040
MathSciNet: MR2609590
Digital Object Identifier: 10.1214/EJP.v15-751

Primary: 82C44
Secondary: 60K35

Keywords: capacity estimates , coupled bistable systems , metastability , Metastable transition time , stochastic Ginzburg-Landau equation


Vol.15 • 2010
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