Nonequilibrium Critical Dynamics of a Three Species Monomer-Monomer Model

TL;DR

This paper investigates the critical dynamics of a three-species monomer-monomer catalytic surface reaction model, revealing directed percolation behavior and a bicritical point with unique universal properties.

Contribution

It introduces the analysis of a three-species model showing directed percolation and bicritical behavior, identifying new exponents and crossover phenomena.

Findings

Transition from reactive to saturated phases exhibits directed percolation criticality.

Bicritical point shows behavior in the even branching annihilating random walk class.

New exponents associated with bicritical interface dynamics are identified.

Abstract

We study a three species monomer-monomer catalytic surface reaction model with a reactive steady state bordered by three equivalent unreactive phases where the surface is saturated with one species. The transition from the reactive to a saturated phase shows directed percolation critical behavior. Each pair of these reactive-saturated phase boundaries join at a bicritical point where the universal behavior is in the even branching annihilating random walk class. We find the crossover exponent from bicritical to critical behavior and a new exponent associated with the bicritical interface dynamics.