Dynamic scaling behavior of an interacting monomer--dimer model

TL;DR

This paper investigates the dynamic scaling behavior of a one-dimensional monomer-dimer model with strong repulsive interactions, revealing a continuous phase transition with unique critical exponents distinct from conventional classes.

Contribution

It provides the first detailed analysis of the critical behavior of an interacting monomer-dimer model with strong repulsion, identifying non-standard universality class characteristics.

Findings

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

Critical exponents differ from those of directed percolation.

Critical behavior aligns with models conserving mass modulo 2.

Abstract

We study the dynamic scaling behavior of 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. This transition does not belong to the conventional directed percolation universality class. The values of dynamic scaling exponents are estimated by Monte Carlo simulations for two distinct initial configurations, one near an absorbing state and the other with an interface between two different absorbing states. We confirm that the critical behavior is consistent with that of the models with the mass conservation of modulo 2.