On the Red-Green-Blue Model
Statistical Mechanics
2009-11-07 v1 Probability
Abstract
We experimentally study the red-green-blue model, which is a sytem of loops obtained by superimposing three dimer coverings on offset hexagonal lattices. We find that when the boundary conditions are ``flat'', the red-green-blue loops are closely related to SLE_4 and double-dimer loops, which are the loops formed by superimposing two dimer coverings of the cartesian lattice. But we also find that the red-green-blue loops are more tightly nested than the double-dimer loops. We also investigate the 2D minimum spanning tree, and find that it is not conformally invariant.
Cite
@article{arxiv.cond-mat/0212042,
title = {On the Red-Green-Blue Model},
author = {David B. Wilson},
journal= {arXiv preprint arXiv:cond-mat/0212042},
year = {2009}
}
Comments
4 pages, 7 figures