Temporally Disordered Bond Percolation on the Directed Square Lattice

Iwan Jensen
Phys. Rev. Lett. 77, 4988 – Published 16 December 1996
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Abstract

Simple models of directed bond percolation with temporal disorder are introduced and studied via series expansions and Monte Carlo simulations. Series have been derived for the percolation probability on the directed square lattice. Analysis of the series revealed that the critical exponent β and critical point pc change continuously with the strength of the disorder. Monte Carlo simulation confirmed the continuous change of critical exponents. Estimates for the temporal correlation-length exponent ν for weak disorder showed that ν<2 in apparent violation of the Harris criterion.

  • Received 23 July 1996

DOI:https://doi.org/10.1103/PhysRevLett.77.4988

©1996 American Physical Society

Authors & Affiliations

Iwan Jensen

  • Department of Mathematics, University of Melbourne, Parkville, Victoria 3052, Australia

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Vol. 77, Iss. 25 — 16 December 1996

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