Article
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/S03784371(97)003695
Source: arXiv
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Article: Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation?
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ABSTRACT: We present numerical evidence for the fact that the damage spreading transition in the DomanyKinzel 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, LATEXJournal of Statistical Physics 09/1994; · 1.40 Impact Factor 
Article: Selforganized criticality
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ABSTRACT: We show that certain extended dissipative dynamical systems naturally evolve into a critical state, with no characteristic time or length scales. The temporal ''fingerprint'' of the selforganized critical state is the presence of flicker noise or 1/f noise; its spatial signature is the emergence of scaleinvariant (fractal) structure.Physical Review A 01/1988; 38(1):364374. · 3.04 Impact Factor  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..
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