The Low-Temperature Expansion Of The Wulff Crystal In The 3D Ising Model (2001)
by
Raphaël Cerf
,
Richard Kenyon
| Venue: | Comm. Math. Phys |
| Citations: | 15 - 1 self |
BibTeX
@ARTICLE{Cerf01thelow-temperature,
author = {Raphaël Cerf and Richard Kenyon},
title = {The Low-Temperature Expansion Of The Wulff Crystal In The 3D Ising Model},
journal = {Comm. Math. Phys},
year = {2001},
volume = {222},
pages = {147--179}
}
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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 1. This same shape determines the asymptotic Wulff crystal in the 3D Ising model (and more generally in the 3D random cluster model for q 1) as the temperature goes to 0. 1.
