Explosive percolation via control of the largest cluster
Statistical Mechanics
2010-07-15 v2 Computational Physics
Abstract
We show that only considering the largest cluster suffices to obtain a first-order percolation transition. As opposed to previous realizations of explosive percolation our models obtain Gaussian cluster distributions and compact clusters as one would expect at first-order transitions. We also discover that the cluster perimeters are fractal at the transition point, yielding a fractal dimension of , close to that of watersheds.
Keywords
Cite
@article{arxiv.1005.2504,
title = {Explosive percolation via control of the largest cluster},
author = {N. A. M. Araújo and H. J. Herrmann},
journal= {arXiv preprint arXiv:1005.2504},
year = {2010}
}
Comments
4 pages, 5 figures, final version