We present a detailed analytical formulation and a mean-field approximation analysis of the spreading of damage in the Domany-Kinzel cellular automaton. Our results show that the system exhibits a chaotic state besides the frozen and active. These results are in agreement with recent numerical...

We consider a mean-field systematic approach to study the critical behavior of cooperative models. The sequence of approximate mean-field results are analyzed by the introduction of a scaling hypothesis from which we can obtain the critical parameter as well as the nonclassical critical...

We have studied nonequilibrium (i.e., irreversible) systems that are either cellular automata or models governed by a master equation with the purpose of understanding the role of irreversibility and symmetry regarding the critical behavior. The study was carried out by the introduction of a...

We study nonequilibrium phase transitions occurring in a probabilistic cellular automaton which describes one part of the immune system. In this model, each site can be occupied by three type of cells and the immune response under parasitic infections is described in terms of two parameters p...

We present here new evidence that after a quench the planar Potts model on the square lattice relaxes towards a glassy state if the number of states q is larger than four. By extrapolating the finite size data we compute the average energy of these states for the infinite system with periodic...