Non-Gaussian surface pinned by a weak potential

被引：13

作者：

Deuschel, JD ^{[1
]}

Velenik, Y ^{[1
]}

机构：

[1] TU Berlin, Fachbereich Math, Sekr MA 7 4, D-10623 Berlin, Germany

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2000年 / 116卷 / 03期

关键词：

D O I：

10.1007/s004400070004

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We consider a model of a two-dimensional interface of the (continuous) SOS type, with finite-range, strictly convex interactions. We prove that, under an arbitrarily weak pinning potential, the interface is localized. We consider the cases of both square well and delta potentials. Our results extend and generalize previous results for the case of nearest neighbours Gaussian interactions in [7] and [1]. We also obtain the tail behaviour of the height distribution, which is not Gaussian.

引用

页码：359 / 377

页数：19