The Metastable Behavior of the Two Dimensional Ising Model

There are continuous efforts in recent years in order to have a better understan-ding of metastable bekavior of a statistical mechanics system. We consider it in twodimensions, solve problems proposed in [Sch]. By the idea of [FW] we are able toshapen the previous results [NS], and to identify the critical droplet naturally.Let Λ be a 2-dimensional lattice torus, and X = { - 1, + 1}~Λ. For η∈X assignthe Hamiltonian