Critical behavior of nonequilibrium models with infinitely many absorbing states

TL;DR

This paper investigates a two-dimensional lattice model for catalytic reactions, demonstrating that its critical behavior aligns with directed percolation universality, confirming a broader theoretical understanding of models with infinitely many absorbing states.

Contribution

The study provides evidence that the critical behavior of the studied model matches directed percolation, clarifying previous conflicting results and supporting universality class predictions.

Findings

Model exhibits directed percolation critical behavior

Contradicts earlier findings by K"{o}hler and ben-Avraham

Supports universality of directed percolation for infinite absorbing states

Abstract

I study the critical behavior of a two-dimensional dimer-trimer lattice model, introduced by K\"{o}hler and ben-Avraham [J. Phys. A {\bf 24}, L621 (1991)], for heterogeneous catalysis of the reaction $\frac{1}{2}A_{2}+\frac{1}{3}B_{3} \rightarrow AB$. The model possesses infinitely many absorbing states in which the lattice is saturated by adsorbed particles and reactions cease because only isolated vacancies are left. Results for various critical exponents show that the model exhibits the same critical behavior as directed percolation, contrary to earlier findings by K\"{o}hler and ben-Avraham. Together with several other studies, reviewed briefly in this article, this confirms that directed percolation is the generic universality class for models with infinitely many absorbing states.