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“Self-organized” formulation of standard percolation phenomena

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  • Grassberger, Peter
  • Yi-Cheng Zhang,
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    Abstract

    We consider standard percolation processes such as epidemic processes with or without immunization. We show that their dynamics can be formulated so that they mimic self-organized critical phenomena: the wetting probability p needs not to be fine tuned to its critical value pc in order to arrive at criticality, but it rather emerges as a singularity in some time-dependent distribution. On the one hand, this casts doubts on the significance of self-organized as opposed to ordinary criticality. On the other hand, it suggests very efficient algorithms where percolation problems are studied at several values of p in a single run. As an example, we apply such an algorithm to directed percolation in 2 + 1 dimensions, where it allows a very precise determination of critical behavior.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 224 (1996)
    Issue (Month): 1 ()
    Pages: 169-179

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    Handle: RePEc:eee:phsmap:v:224:y:1996:i:1:p:169-179

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    Cited by:
    1. Silverberg, G. & Verspagen, B., 2002. "A Percolation Model of Innovation in Complex Technology Spaces," Working Papers 02.12, Eindhoven Center for Innovation Studies.
    2. Silverberg, Gerald, 2002. "The discrete charm of the bourgeoisie: quantum and continuous perspectives on innovation and growth," Research Policy, Elsevier, vol. 31(8-9), pages 1275-1289, December.
    3. da Silva, Roberto & Alves, Nelson, 2005. "Dynamic exponents of a probabilistic three-state cellular automaton," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 263-276.

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