Contact process on a Voronoi triangulation
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.
- Publication:
-
Physical Review E
- Pub Date:
- September 2008
- DOI:
- arXiv:
- arXiv:0810.0240
- Bibcode:
- 2008PhRvE..78c1133D
- Keywords:
-
- 02.50.Ey;
- 05.70.Ln;
- 64.60.Ht;
- 75.40.Mg;
- Stochastic processes;
- Nonequilibrium and irreversible thermodynamics;
- Dynamic critical phenomena;
- Numerical simulation studies;
- Condensed Matter - Statistical Mechanics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- Physical Review E 78, 031133 (2008)