Abstract
We use a Monte Carlo simulation to study new features of the (one-dimensional) Domany-Kinzel cellular automaton (CA). Considering the relaxation process of the 'magnetization' (the frozen-active order parameter) towards its equilibrium value, we measure its dynamical critical exponent z. Also, we investigate the effect of p0 not=0 (non-vanishing external field conjugate to the magnetization) on the phase diagram and on the susceptibility. Finally, we introduce constraints in the evolution rule of the Domany-Kinzel CA and study the associated criticality (critical surfaces and universality classes).
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