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

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

2005-04-11

arxiv.org/abs/cond-mat/0504260v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevE.72.017104

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.

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