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.
Article PDF
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received: 15 February 2001/ Accepted: 11 May 2001
Rights and permissions
About this article
Cite this article
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
Issue Date:
DOI: https://doi.org/10.1007/s002200100505