  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.
