On the absorbing-state phase transition in the one-dimensional triplet creation model

Abstract

We study the lattice reaction diffusion model 3A -> 4A, A -> 0 (``triplet creation") using numerical simulations and n-site approximations. The simulation results provide evidence of a discontinuous phase transition at high diffusion rates. In this regime the order parameter appears to be a discontinuous function of the creation rate; no evidence of a stable interface between active and absorbing phases is found. Based on an effective mapping to a modified compact directed percolation process, shall nevertheless argue that the transition is continuous, despite the seemingly discontinuous phase transition suggested by studies of finite systems.

23 pages, 11 figures

References in corpus (5)

• Towards Classification of Phase Transitions in Reaction--Diffusion Models
• Diffusive epidemic process: theory and simulation
• Phase transition in conservative diffusive contact processes
• Crossover scaling in the Domany-Kinzel cellular automaton
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