The three species monomer-monomer model in the reaction-controlled limit

TL;DR

This study investigates a one-dimensional three-species monomer-monomer reaction model in the reaction-controlled limit, revealing its phase diagram, transition types, and critical behaviors through mean-field theory and Monte Carlo simulations.

Contribution

It provides the first detailed analysis of the phase diagram and critical phenomena of this model in the reaction-controlled limit, including bicritical points and universality classes.

Findings

Reactive phase transitions are continuous with directed percolation behavior.

Transitions between adsorbing phases are first-order.

Bicritical points exhibit even branching annihilating random walk universality.

Abstract

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 to previous results for the adsorption-controlled limit of the same model.