Monte Carlo simulations of a generalized n-spin facilitated kinetic Ising model

A kinetic Ising model is analyzed where spin variables correspond to lattice cells with mobile or immobile particles. Introducing additional restrictions for the flip processes according to the n spin-facilitated kinetic Ising model and using Monte Carlo methods, we study the freezing process under the influence of an additional nearest-neighbor interaction. The stretched exponential decay of the auto correlation function is observed and the exponent gamma, as well as the relaxation time are determined depending on the activation energy h and the short-range coupling J. The magnetization corresponding to the density of immobile particles is found to be the controlling parameter for the dynamic evolution. [S0163-1829(99)08709-3].