Phase transitions of the generalized contact process with two absorbing states

Abstract

We investigate the generalized contact process with two absorbing states in one space dimension by means of large-scale Monte-Carlo simulations. Treating the creation rate of active sites between inactive domains as an independent parameter leads to a rich phase diagram. In addition to the conventional active and inactive phases we find a parameter region where the simple contact process is inactive, but an infinitesimal creation rate at the boundary between inactive domains is sufficient to take the system into the active phase. Thus, the generalized contact process has two different phase transition lines. The point separating them shares some characteristics with a multicritical point. We also study in detail the critical behaviors of these transitions and their universality.

9 pages, 9 eps figures included, final version as published

References in corpus (6)

• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
• Directed percolation criticality in turbulent liquid crystals
• Nontrivial critical crossover between directed percolation models: Effect of infinitely many absorbing states
• Absorbing-state phase transitions on percolating lattices
• Three different routes from the directed Ising to the directed percolation class
• Crossovers from parity conserving to directed percolation universality

Cited by in corpus (2)

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