Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks
Disordered Systems and Neural Networks
2009-07-03 v2 Statistical Mechanics
Abstract
The growth of two-dimensional lattice bond percolation clusters through a cooperative Achlioptas-type of process, where the choice of which bond to occupy next depends upon the masses of the clusters it connects, is shown to go through an explosive, first-order kinetic phase transition with a sharp jump in the mass of the largest cluster as the number of bonds is increased. The critical behavior of this growth model is shown to be of a different universality class than standard percolation.
Cite
@article{arxiv.0903.4678,
title = {Explosive growth in biased dynamic percolation on two-dimensional regular lattice networks},
author = {Robert M. Ziff},
journal= {arXiv preprint arXiv:0903.4678},
year = {2009}
}
Comments
Small changes and figure update. Accepted for publication, PRL