Quasi-stationary simulations of the directed percolation universality class ind = 3 dimensions

Abstract

We present quasi-stationary simulations of three-dimensional models with a single absorbingconfiguration, namely the contact process (CP), the susceptible–infected–susceptible(SIS) model and the contact replication process (CRP). The moment ratios of theorder parameters for the DP class in three dimensions were set up using the wellestablished SIS and CP models. We also show that the mean-field exponent ford = 3 reported previously for the CRP (Ferreira 2005 Phys. Rev. E 71 017104) is a transientobserved in the spreading analysis.