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

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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.

Original languageEnglish
Pages (from-to)1441-1449
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number7
DOIs
Publication statusPublished - 18 Feb 2005
Externally publishedYes

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