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

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 $p_c$ and various critical exponents which are consistent with a continuous change of the critical parameters as the strength of the disorder is increased.

11 pages, 3 figures

References in corpus (2)

• Strong disorder fixed point in absorbing state phase transitions
• Absorbing state phase transitions with quenched disorder

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