Abstract:
We compute the expansion of the surface tension of the 3D random cluster model for q≥ 1 in the limit where p goes to 1. We also compute the asymptotic shape of a plane partition of n as n goes to ∞. This same shape determines the Wulff crystal to order o(ɛ) in the 3D Ising model (and more generally in the 3D random cluster model for q≥ 1) at temperature ɛ.
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Received: 15 February 2001/ Accepted: 11 May 2001
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Cerf, R., Kenyon, R. The Low-Temperature Expansion of the Wulff Crystal in the 3D Ising Model. Commun. Math. Phys. 222, 147–179 (2001). https://doi.org/10.1007/s002200100505
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DOI: https://doi.org/10.1007/s002200100505