Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-01-06
Int. J. Mod. Phys. C 9 (1998) 667-671
Physics
Condensed Matter
Disordered Systems and Neural Networks
8 pages, latex, 3 figures included
Scientific paper
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 dimension d and a coordinance numberq. For regular lattices, q reduces 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 number q_2 of second nearest neighbors instead of q. This conjecture is checked for the dynamic epidemic model which considers the percolation phenomenon in a mobile disordered system. The agreement is good.
Galam Serge
Vandewalle Nicolas
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