Damage spreading in the 'sandpile' model of SOC

Physica A: Statistical Mechanics and its Applications (Impact Factor: 1.68). 01/2011; 247(1). DOI: 10.1016/S0378-4371(97)00369-5
Source: arXiv

ABSTRACT We have studied the damage spreading (defined in the text) in the 'sandpile'
model of self organised criticality. We have studied the variations of the
critical time (defined in the text) and the total number of sites damaged at
critical time as a function of system size. Both shows the power law variation.

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    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. Comment: 10 pages, LATEX
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  • 4 r1000 10000 100000 1e+06 10100 L 1000 τ 3 3 333333 3 3 3 Fig. 1. Variation of critical time (τ) with system size L. 100 1000 10000 100000 10100 L 1000 3 3 333333 3 3 3 + + ++++++ + + + Fig. 2. Variations of Mτ(3) and Mtot(+) with system size L. P Bak, C Tang, K Wiesenfeld .


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