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Low-density series expansions for directed percolation: IV. Temporal disorder

Published 2 February 2005 2005 IOP Publishing Ltd
, , Citation Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 1441 DOI 10.1088/0305-4470/38/7/003

0305-4470/38/7/1441

Abstract

We introduce a model for temporally disordered directed percolation in which the probability of spreading from a vertex (t, x), where t is the time and x is the spatial coordinate, is independent of x but depends on t. Using a very efficient algorithm we calculate low-density series for bond percolation on the directed square lattice. Analysis of the series yields estimates for the critical point pc and various critical exponents which are consistent with a continuous change of the critical parameters as the strength of the disorder is increased.

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10.1088/0305-4470/38/7/003