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On damage-spreading transitions

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Abstract

We study the damage-spreading transition in a generic one-dimensional stochastic cellular automaton 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 analytically that the evolution of the damage between two systems driven by the same noise has the same structure as 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 heat-bath dynamics.

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Authors and Affiliations

  1. Dipartimento di Matematica Applicata, Università di Firenze, via S. Marta, 3, I-50139, Firenze, Italy

    Franco Bagnoli

  2. INFN and INFM sezione di Firenze, Firenze, Italy

    Franco Bagnoli

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  1. Franco Bagnoli
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Bagnoli, F. On damage-spreading transitions. J Stat Phys 85, 151–164 (1996). https://doi.org/10.1007/BF02175559

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  • DOI: https://doi.org/10.1007/BF02175559

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