The Pair Contact Process in Two Dimensions

TL;DR

This paper investigates the two-dimensional pair contact process, analyzing its phase transition and critical behavior through Monte Carlo simulations, confirming its alignment with the directed percolation universality class.

Contribution

It provides the first detailed Monte Carlo analysis of the critical properties of the 2D pair contact process, including critical probability and exponents.

Findings

Critical probability and static exponents determined

Static properties consistent with directed percolation universality class

Order-parameter moment ratios and initial density decay scaling analyzed

Abstract

We study the stationary properties of the two-dimensional pair contact process, a nonequilibrium lattice model exhibiting a phase transition to an absorbing state with an infinite number of configurations. The critical probability and static critical exponents are determined via Monte Carlo simulations, as well as order-parameter moment ratios and the scaling of the initial density decay. The static critical properties are consistent with the directed percolation universality class.