Contact process on a Voronoi triangulation

TL;DR

This paper investigates the contact process on a Voronoi-Delaunay lattice, showing that quenched disorder does not alter its critical behavior, which remains consistent with directed percolation universality.

Contribution

It provides the first detailed analysis of the contact process on a Voronoi lattice, demonstrating the robustness of directed percolation universality class under quenched disorder.

Findings

Critical exponents match those of regular lattice directed percolation.

Quenched disorder does not change the universality class.

Critical behavior remains unchanged despite lattice disorder.

Abstract

We study the continuous absorbing-state phase transition in the contact process on the Voronoi-Delaunay lattice. The Voronoi construction is a natural way to introduce quenched coordination disorder in lattice models. We simulate the disordered system using the quasistationary simulation method and determine its critical exponents and moment ratios. Our results suggest that the critical behavior of the disordered system is unchanged with respect to that on a regular lattice, i.e., that of directed percolation.