Critical behavior of an interacting monomer-dimer model

TL;DR

This paper investigates a one-dimensional interacting monomer-dimer model, revealing a continuous phase transition with unique critical behavior distinct from directed percolation, linked to mass conservation modulo 2.

Contribution

It introduces a monomer-dimer model with strong repulsive interactions and characterizes its critical behavior, highlighting a novel universality class.

Findings

The model exhibits a continuous transition from reactive to inactive phase.

Critical behavior differs from directed percolation universality class.

Results suggest a connection to models with mass conservation modulo 2.

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. Monte Carlo simulations show that the critical behavior is different from the conventional directed percolation universality class but seems to be consistent with that of the models with the mass conservation of modulo 2.