Dy. Chen et al., THE METASTABLE BEHAVIOR OF THE 3-DIMENSIONAL STOCHASTIC ISING-MODEL .2., Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 40(11), 1997, pp. 1129-1135
The metastable behavior of the stochastic Ising model is studied in a
finite three-dimensional torus, in the limit as the temperature goes t
o 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 versa is
calculated. The proof uses large deviation estimates of a family of e
xponentially perturbed Markov chains.