A spin model is proposed for a physical system possessing two competing sta
tes alpha and beta:alpha has a lower internal energy than beta which has a
bigger entropy. The model is simulated on a two-dimensional square lattice
of 250 x 510 sites with periodic boundary conditions and implemented in a h
ardware cellular automata. The algorithm is completely determinist. Lattice
simulation results as well as theoretical approaches show that there is a
threshold for the surface tension, above which a phase transition occurs; t
he transition order is governed by the surface tension. Lattice simulations
allowed a precise determination of the AB1B2 model phase diagram. (C) 2000
Elsevier Science B.V. All rights reserved.