On Damage Spreading Transitions
Condensed Matter
2009-10-28 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9508106,
title = {On Damage Spreading Transitions},
author = {Franco Bagnoli},
journal= {arXiv preprint arXiv:cond-mat/9508106},
year = {2009}
}
Comments
12 pages LaTeX, 2 PostScript figures, tar+gzip+uu