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A New Conjecture Extends theGMLaw for Percolation Thresholds to Dynamical Situations

Author

Listed:
  • Serge Galam

    (Laboratoire des Milieux Désordonnés et Hétérogènes, Tour 13, Case 86, 4 place Jussieu, 75252 Paris Cedex 05, France)

  • Nicolas Vandewalle

    (SUPRAS, Institut de Physique B5, Université de Liège, B-4000 Liège, Belgium)

Abstract

The universal law for percolation thresholds proposed by Galam and Mauger (GM) is found to apply also to dynamical situations. This law depends solely on two variables, the space dimensiondand a coordinance numberq. For regular lattices,qreduces to the usual coordination number while for anisotropic lattices it is an effective coordination number. For dynamical percolation we conjecture that the law is still valid if we use the numberq2of second nearest neighbors instead ofq. This conjecture is checked for the dynamic epidemic model which considers the percolation phenomenon in a mobile disordered system. The agreement is good.

Suggested Citation

  • Serge Galam & Nicolas Vandewalle, 1998. "A New Conjecture Extends theGMLaw for Percolation Thresholds to Dynamical Situations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(04), pages 667-671.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:04:n:s0129183198000558
    DOI: 10.1142/S0129183198000558
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