Directed percolation with a single defect site

Abstract

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.

8 pages, 3 figures

References in corpus (3)

• Boundary-induced nonequilibrium phase transition into an absorbing state
• Nonequilibrium phase transition in a spreading process on a timeline
• Simplest nonequilibrium phase transition into an absorbing state