Spreading of damage in the Domany-Kinzel cellular automaton: A mean-field approach

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 simulations. Also we study the conjugate fields associated to the order parameters of the active and chaotic phases