1995/08/24 by Franco Bagnoli
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat
paper · pdf · doi:10.1007/bf02175559
published as J. Stat. Phys. 85 (1996) 151 · 12 pages LaTeX, 2 PostScript figures, tar+gzip+uu
arxiv created 1995/08/24 · openalex publication_date 1996/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We study the damage spreading transition in a generic one-dimensional stochastic cellular automata with two inputs (Domany-Kinzel model) Using an original formalism for the description of the microscopic dynamics of the model, we are able to show analitically that the evolution of the damage between two systems driven by the same noise has the same structure of a directed percolation problem. By means of a mean field approximation, we map the density phase transition into the damage phase transition, obtaining a reliable phase diagram. We extend this analysis to all symmetric cellular automata with two inputs, including the Ising model with heath-bath dynamics.