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“Self-organized” formulation of standard percolation phenomena

  • Grassberger, Peter
  • Yi-Cheng Zhang,
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    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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    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
    Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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