Journal
ELECTRONIC JOURNAL OF PROBABILITY
Volume 15, Issue -, Pages 323-345Publisher
UNIV WASHINGTON, DEPT MATHEMATICS
DOI: 10.1214/EJP.v15-751
Keywords
Metastability; coupled bistable systems; stochastic Ginzburg-Landau equation; metastable transition time; capacity estimates
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Funding
- ENS Cachan
- German Research Council [SFB 611]
- Hausdorff Center for Mathematics
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We consider a coupled bistable N-particle system on 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 metastabilit.
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