Study of universality crossover in the contact process

Abstract

We consider a generalization of the contact process stochastic model, including an additional autocatalitic process. The phase diagram of this model in the proper two-parameter space displays a line of transitions between an active and an absorbing phase which starts at the critical point of the contact process and ends at the transition point of the voter model. Thus, a crossover between the directed percolation and the compact percolation universality classes is observed at this latter point. We study this crossover by a variety of techniques. Using supercritical series expansions analyzed with partial differential approximants, we obtain precise estimates of the crossover behavior of the model. In particular, we find an estimate for the crossover exponent $\varphi =2.00\pm 0.02$. We also show arguments that support the conjecture $\varphi =2$.

19 pages, 9 figures

References in corpus (1)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States

Cited by in corpus (5)

• The contact process in heterogeneous and weakly-disordered systems
• Revisiting the one-dimensional diffusive contact process
• Supercritical series expansion for the contact process in heterogeneous and disordered environments
• A comparative study for the pair-creation contact process using series expansions
• A supercritical series analysis for the generalized contact process with diffusion