Revista mexicana de física
Print version ISSN 0035-001X
BUENDIA, G.M; RIKVOLD, P.A; PARK, K and NOVOTNY, M.A. Metastable lifetime of a kinetic Ising model with a transition dynamic algorithm. Rev. mex. fis. [online]. 2006, vol.52, suppl.3, pp. 35-37. ISSN 0035-001X.
We calculate the average lifetime of the metastable state of a 2-d kinetic Ising model. The model evolves under what is called a transition dynamic (TDA), which assumes that the system in going from an initial to a final state, must pass through an intermediate state t, such that the transition rate has the form, W ( i j) = W ( i t) W ( t j). The results are obtained in two different ways. First, by calculating the first-passage time from the metastable to an absorbing state. Second, by the technique of absorbing Markov chains. Our calculations reproduce the standard result obtained in the low-temperature nucleation regime, = . However, we find that A and Γ differ from the values calculated for the standard Glauber dynamics. These results are consistent with recent studies which indicate that, contrary to common belief, Γ is not simply the metastable energy barrier, but depends on the stochastic dynamics used.
Keywords : Metastable; nucleation; Kinetic Ising model.