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

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

2005-09-28

arxiv.org/abs/cond-mat/0509713v1

J. Phys. A 38, 1441-1449 (2005)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 3 figures

Scientific paper

10.1088/0305-4470/38/7/003

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 $p_c$ 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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