Vacancy diffusion in the triangular lattice dimer model

Details Vacancy diffusion in the triangular lattice dimer model Vacancy diffusion in the triangular lattice dimer model

2008-01-30

arxiv.org/abs/0801.4718v2

Phys. Rev. E78 (2008) 021112

Physics

Condensed Matter

Statistical Mechanics

15 pages, 27 eps figures. submitted to Physical Review E

Scientific paper

10.1103/PhysRevE.78.021112

We study vacancy diffusion on the classical triangular lattice dimer model, sub ject to the kinetic constraint that dimers can only translate, but not rotate. A single vacancy, i.e. a monomer, in an otherwise fully packed lattice, is always localized in a tree-like structure. The distribution of tree sizes is asymptotically exponential and has an average of 8.16 \pm 0.01 sites. A connected pair of monomers has a finite probability of being delocalized. When delocalized, the diffusion of monomers is anomalous:

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