摘要
The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus,in the limit as the temperature goes to zero.The so-called critical droplet is determined,a clear view of the passage from the configuration that all spins are down (-1) to the configuration that all spins are up (+1) is given and the logarithmic asymptotics of the hitting time of +1 starting at -1 or vice verm is calculated.The proof uses large deviation estimates of a family of exponentially perturbed Markov chains.
The metastable behavior of the stochastic Ising model is studied in a finite three-dimensional torus,in the limit as the temperature goes to zero.The so-called critical droplet is determined,a clear view of the passage from the configuration that all spins are down (-1) to the configuration that all spins are up (+1) is given and the logarithmic asymptotics of the hitting time of +1 starting at -1 or vice verm is calculated.The proof uses large deviation estimates of a family of exponentially perturbed Markov chains.
基金
Project supported in part by a Postdoctoral Fellowship from the State Education Commission of China, and by the National Natural Science Foundation of China, the Tianyuan Foundation and the National 863 Project.
