English

A simple algorithm to test for linking to Wilson loops in percolation

Disordered Systems and Neural Networks 2009-11-11 v2

Abstract

A simple burning or epidemic type of algorithm is developed in order to test whether any loops in percolation clusters link a fixed reference loop, a problem considered recently by Gliozzi, Lottini, Panero, and Rago in the context of gauge theory. We test our algorithm at criticality in both 2d, where the behavior agrees with a theoretical prediction, and in 3d.

Cite

@article{arxiv.cond-mat/0504260,
  title  = {A simple algorithm to test for linking to Wilson loops in percolation},
  author = {Robert M. Ziff},
  journal= {arXiv preprint arXiv:cond-mat/0504260},
  year   = {2009}
}

Comments

v1: A third figure added with additional simulation results. Small corrections also