Phase transitions in random mixtures of elementary cellular automata

We investigate one-dimensional Probabilistic Cellular Automata, called Diploid Elementary Automata (DECA), obtained as random mixture of two different rules. All the cells are updated synchronously and probability for one cell to be $0$ or $1$ at time $t$ depends only on value same that its neighbors $t-1$. These very simple models show a rich behavior strongly depending choice randomly mixed together parameter which governs probabilistically mixture. In particular, we study existence phase transition whole set possible DECA by mixing null rule associates any local configuration, with other $255$ elementary rule. approach problem analytically via Mean Field approximation use rigorous based application Dobrushin Criterion. The distinguishing trait our result is possibility describe considered without exploiting properties individual models. results find coherent numerical studies already published in scientific literature also some proven specific