Directed percolation with a single defect site

Abstract

In a recent study (Miller and Shnerb 2010 arXiv:1011.3254) the contact process with amodified creation rate at a single site was shown to exhibit a non-universal scaling behaviorwith exponents varying with the creation rate at the special site. In the present work weargue that the survival probability decays according to a stretched exponential rather thana power law, explaining previous observations.