A parity conserving dimer model with infinitely many absorbing states

TL;DR

This paper introduces a novel dimer model that combines parity conservation with infinitely many absorbing states, revealing how initial conditions influence dynamic critical behavior despite static properties remaining unaffected.

Contribution

It is the first to analyze a model with both parity conservation and multiple absorbing states, highlighting the impact of initial conditions on dynamic critical exponents.

Findings

Static critical behavior is unaffected by multiple absorbing states.

Initial particle density influences critical spreading exponents.

Memory effects decay slowly and affect time-dependent dynamics.

Abstract

We propose and study a model where, for the first time, two aspects are present: parity conservation and infinitely many absorbing states. Whereas steady-state simulations show that the static critical behaviour is not affected by the presence of multiple absorbing configurations, the influence of the initial state associated with the presence of slowly decaying memory effects is clearly displayed in time dependent simulations. We report results of a detailed investigation of the dependence of critical spreading exponents on the initial particle density.