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Red-green-blue model | | David B Wilson
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29 Feb 2004 | | Journal: | Phys Rev E, 69 (3 Pt 2), 037105 | | Abstract: | We experimentally study the red-green-blue model, which is a system 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 stochastic Loewner evolution with parameter kappa=4 (SLE4) 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 two-dimensional minimum spanning tree, and find that it is not conformally invariant. | | Source: | PubMed, pmid15089445 | | Services: | Forum | Review | Favorites | |
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