Uniform estimates for metastable transition times in a coupled bistable system

作者：Barret Florent^*; Bovier Anton; Meleard Sylvie

来源：Electronic Journal of Probability, 2010, 15: 323-345.

• Metastability
• coupled bistable systems
• stochastic Ginzburg-Landau equation
• metastable transition time
• capacity estimates

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.

• 出版日期2010-4-9