Topological percolation on a square lattice
Statistical Mechanics
2007-05-23 v2
Abstract
We investigate the formation of an infinite cluster of entangled threads in a (2+1)-dimensional system. We demonstrate that topological percolation belongs to the universality class of the standard 2D bond percolation. We compute the topological percolation threshold and the critical exponents of topological phase transition. Our numerical check confirms well obtained analytical results.
Cite
@article{arxiv.cond-mat/0401027,
title = {Topological percolation on a square lattice},
author = {S. K. Nechaev and O. A. Vasilyev},
journal= {arXiv preprint arXiv:cond-mat/0401027},
year = {2007}
}
Comments
14 pages, 9 eps-figures, latex-revtex4, revised version: misprints removed, reference added