On Damage Spreading Transitions

Details On Damage Spreading Transitions On Damage Spreading Transitions

1995-08-24

arxiv.org/abs/cond-mat/9508106v1

J. Stat. Phys. 85 (1996) 151

Physics

Condensed Matter

12 pages LaTeX, 2 PostScript figures, tar+gzip+uu

Scientific paper

10.1007/BF02175559

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.

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