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Are damage spreading transitions generically in the universality class of directed percolation?

1994/09/16 by Peter Grassberger · 2 citations
Mathematics · Physics and Astronomy · #Opinion Dynamics and Social Influence #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1007/bf02179381

10 pages, LATEX

arxiv created 1994/09/16 · openalex publication_date 1995/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

We present numerical evidence for the fact that the damage spreading transition in the Domany-Kinzel automaton found by Martins \it et al. is in the same universality class as directed percolation. We conjecture that also other damage spreading transitions should be in this universality class, unless they coincide with other transitions (as in the Ising model with Glauber dynamics) and provided the probability for a locally damaged state to become healed is not zero.

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