Harmonic crystal on the wall: A microscopic approach

被引：20

作者：

Bolthausen, E ^{[1
]}

Ioffe, D ^{[1
]}

机构：

[1] WIAS,D-10117 BERLIN,GERMANY

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1997年 / 187卷 / 03期

关键词：

D O I：

10.1007/s002200050148

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A three dimensional Winterbottom type construction in the regime of partial wetting is derived in a scaling limit of a gas of microscopic Gaussian SOS droplets under the fixed volume constraint. The proof is based on a coarse graining of the random microscopic region ''wetted'' by the crystal, random walk representations of various quantities related to free massless fields and a stability analysis of the torsional rigidity problem.

引用

页码：523 / 566

页数：44

共 36 条

[1] THE WULFF CONSTRUCTION AND ASYMPTOTICS OF THE FINITE CLUSTER DISTRIBUTION FOR 2-DIMENSIONAL BERNOULLI PERCOLATION [J].