Metastability under stochastic dynamics

[摘要] This paper is a tutorial introduction to some of the mathematics behind metastable behavior of interacting particle systems. The main focus is on the formation of so-called critical droplets, in particular, on their geometry and the time of their appearance. Special attention is given to Ising spins subject to a Glauber spin-flip dynamics and lattice particles subject to a Kawasaki hopping dynamics. The latter is one of the hardest models that can be treated to date and therefore is representative for the current state of development of this research area. (C) 2004 Elsevier B.V. All rights reserved.

[发布日期] 2004-11-01

[效力级别]  Proceedings Paper

[关键词] interacting particle systems;stochastic dynamics;metastability;critical droplet;large deviations;potential theory;discrete isoperimetric inequalities