B01 – Metastability
Metastability is a central property that occurs in the dynamics of multi-stable non-linear systems subject to noise. In models of statistical mechanics, it emerges from the dynamics of many-body systems in the behaviour of macroscopic and mesoscopic quantities.
The aim of this project is to develop the potential theoretic approach to the analysis of metastability to situations where entropy of paths is relevant. In particular, our main targets are stochastic Ising models and stochastic lattice gases. Key issues to be solved are:
- to devise coarse graining methods to obtain effective mesoscopic models that capture the precise long-term dynamics,
- to analyse the metastable behaviour of corresponding mesoscopic models, and
- to investigate the link to stochastic partial differential equations and analyse their metastable behaviour.