Directed percolation with a single defect site

Details Directed percolation with a single defect site Directed percolation with a single defect site

2011-01-14

arxiv.org/abs/1101.2850v1

J. Stat. Mech. (2011) P02035

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures

Scientific paper

10.1088/1742-5468/2011/02/P02035

In a recent study [arXiv:1011.3254] the contact process with a modified creation rate at a single site was shown to exhibit a non-universal scaling behavior with exponents varying with the creation rate at the special site. In the present work we argue that the survival probability decays according to a stretched exponential rather than a power law, explaining previous observations.

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