The Domany-Kinzel cellular automaton: relaxation time, susceptibility and constrained dynamics
Marcelo Lobato Martins, Gilney Figueira Zebende, T. J. P. Penna, Constantino Tsallis · Journal of Physics A Mathematical and General · 1994
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 p 0 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).