Stationary states of Toom cellular automata in simulations.

Stationary states of Toom probabilistic cellular automata are tested in computer experiments. The aim of the tests is to identify the features characterizing the equilibrium states understood as in statistical mechanics. Namely, we investigate the following: scaling laws that involve critical parameters beta, gamma, and nu, locality of the interactions, and density of the relative entropy between stationary states. The arguments showing that stationary Toom states are not the equilibrium ones are provided.