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.

arXiv comment8 pages, 3 figures

References in corpus (8)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Universality classes in nonequilibrium lattice systems
• Universal scaling behavior of non-equilibrium phase transitions
• Directed Percolation and Systems with Absorbing States: Impact of Boundaries
• Directed Percolation with a Wall or Edge
• 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

Cited by in corpus (2)

• Mixed-order phase transition of the contact process near multiple junctions
• Nonuniversal and anomalous critical behavior of the contact process near an extended defect