Behavior of damage spreading in the two-dimensional Blume-Capel model.

The damage spreading technique has been used to study the general integer and half-integer spin-S Blume-Capel model on the square lattice within a Metropolis-type dynamics. For S=1 and 2 integer spins, our results suggest that there exists one multicritical point along the order-disorder transition line; for S=3/2 and 5/2 half-integer spins, our results show that this multicritical behavior does not exist for this model.

Damage spreading in the mixed spin Ising model.

We apply the damage spreading technique to study a mixed spin Ising model consisting of spin 1/2 and spin 1 with a crystal field interaction on the square lattice within a kind of Metropolis dynamics. The completely different behavior, depending on the value of the crystal field interaction, strongly suggests there may exist a dynamical tricritical point where the phase transition may change from the second order to the first order for this model.