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Exact equilibrium shapes of Ising crystals on triangular/honeycomb lattices

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Abstract

The anisotropic surface tension for an Ising system below the critical point on a triangular or a honeycomb lattice can be computed through duality. Using the Wulff construction, the equilibrium shape of a crystal (droplet of one phase inside a sea of the other) is found. An exact and simple equation for this shape is derived.

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Zia, R.K.P. Exact equilibrium shapes of Ising crystals on triangular/honeycomb lattices. J Stat Phys 45, 801–813 (1986). https://doi.org/10.1007/BF01020575

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