Critical behavior of an absorbing phase transition in an interacting monomer-dimer model

TL;DR

This paper investigates a one-dimensional monomer-dimer model with strong repulsive interactions, revealing a unique continuous phase transition with critical behavior distinct from directed percolation, influenced by symmetry-breaking fields.

Contribution

It demonstrates that the model exhibits a novel universality class related to mass conservation modulo 2, differing from conventional directed percolation.

Findings

Critical behavior differs from directed percolation

Universality class linked to mass conservation modulo 2

Symmetry-breaking restores directed percolation universality

Abstract

We study a monomer-dimer model with repulsive interactions between the same species in one dimension. With infinitely strong interactions the model exhibits a continuous transition from a reactive phase to an inactive phase with two equivalent absorbing states. Static and dynamic Monte Carlo simulations show that the critical behavior at the transition is different from the conventional directed percolation universality class but is consistent with that of the models with the mass conservation of modulo 2. The values of static and dynamic critical exponents are compared with those of other models. We also show that the directed percolation universality class is recovered when a symmetry-breaking field is introduced.