Phys. Rev. Lett. 77, 4988–4991 (1996)Temporally Disordered Bond Percolation on the Directed Square LatticeReceived 23 July 1996; published in the issue dated 16 December 1996 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. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.4988
DOI:
10.1103/PhysRevLett.77.4988
PACS:
05.50.+q, 02.50.-r, 05.70.Ln
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