Crossover from directed percolation to mean field behavior in the diffusive contact process

Abstract

Recently Dantas, Oliveira and Stilck [J. Stat. Mech. (2007) P08009] studied how the one-dimensional diffusive contact process crosses over from the critical behavior of directed percolation to an effective mean field behaviour when the diffusion rate is sent to infinity. They showed that this crossover can be described in terms of a crossover exponent $\varphi$, finding the boundaries 3 <= $\varphi$ <= 4 in one spatial dimension. In the present work we refine and extend this result up to four spatial dimensions by a field-theoretic calculation and extensive numerical simulations.

6 pages, 2 figures

References in corpus (6)

• 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 criticality in turbulent liquid crystals
• On possible experimental realizations of directed percolation
• Field Theory Approaches to Nonequilibrium Dynamics

Cited by in corpus (1)

• Crossover from dynamical percolation class to directed percolation class on a two dimensional lattice