Random and ordered phases of off-lattice rhombus tiles.

@article{Whitelam2011RandomAO,
  title={Random and ordered phases of off-lattice rhombus tiles.},
  author={Stephen Whitelam and Isaac Tamblyn and Peter H. Beton and Juan P. Garrahan},
  journal={Physical review letters},
  year={2011},
  volume={108 3},
  pages={
          035702
        }
}
We study the covering of the plane by nonoverlapping rhombus tiles, a problem well studied only in the limiting case of dimer coverings of regular lattices. We go beyond this limit by allowing tiles to take any position and orientation on the plane, to be of irregular shape, and to possess different types of attractive interactions. Using extensive numerical simulations, we show that at large tile densities there is a phase transition from a fluid of rhombus tiles to a solid packing with broken… 

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