On the Red-Green-Blue Model

Details On the Red-Green-Blue Model On the Red-Green-Blue Model

2002-12-03

arxiv.org/abs/cond-mat/0212042v1

Physical Review E 69, 037105, 2004

Physics

Condensed Matter

Statistical Mechanics

4 pages, 7 figures

Scientific paper

10.1103/PhysRevE.69.037105

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.

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