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On the Red-Green-Blue Model | | David B. Wilson
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3 Dec 2002 | | Journal: | Physical Review E 69, 037105, 2004 | | Subject: | Statistical Mechanics; Probability | cond-mat.stat-mech math.PR | | 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. | | Source: | arXiv, cond-mat/0212042 | | Services: | Forum | Review | PDF | Favorites | |
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