The LowTemperature Expansion of the Wulff Crystal in the 3D Ising Model
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(∊) in the 3D Ising model (and more generally in the 3D random cluster model for q>= 1) at temperature ∊.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2001
 DOI:
 10.1007/s002200100505
 Bibcode:
 2001CMaPh.222..147C