The three-species monomer-monomer model in the reaction-controlled limit
We study the one-dimensional three-species monomer-monomer reaction model in the reaction-controlled limit using mean-field theory and dynamic Monte Carlo simulations. The phase diagram consists of a reactive steady state bordered by three equivalent adsorbing phases where the surface is saturated with one monomer species. The transitions from the reactive phase are all continuous, while the transitions between adsorbing phases are first order. Bicritical points occur where the reactive phase simultaneously meets two adsorbing phases. The transitions from the reactive to an adsorbing phase show directed percolation critical behaviour, while the universal behaviour at the bicritical points is in the even branching annihilating random walk class. The results are contrasted and compared with previous results for the adsorption-controlled limit of the same model.
Publication Source (Journal or Book title)
Journal of Physics A: Mathematical and General
Bassler, K., & Browne, D. (1998). The three-species monomer-monomer model in the reaction-controlled limit. Journal of Physics A: Mathematical and General, 31 (30), 6309-6318. https://doi.org/10.1088/0305-4470/31/30/001