Invariance Principle for a Potts Interface Along a Wall

被引：7

作者：

Ioffe, Dmitry ^{[1
]}

Ott, Sebastien ^{[2
]}

Velenik, Yvan ^{[3
]}

Wachtel, Vitali ^{[4
]}

机构：

[1] Technion, Fac IE&M, Haifa 32000, Israel

[2] Univ Roma Tre, Dipartimento Matemat & Fis, Rome 00146, Italy

[3] Univ Geneva, Sect Math, Geneva 1211, Switzerland

[4] Univ Augsburg, Inst Math, Augsburg 86135, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2020年 / 180卷 / 1-6期

关键词：

Potts model; Random cluster model; Interface; Ornstein-Zernike theory; Invariance principle; Brownian excursion; PHASE-SEPARATION LINE; ORNSTEIN-ZERNIKE THEORY; LIMIT-THEOREMS; MODELS;

D O I：

10.1007/s10955-020-02546-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider nearest-neighbour two-dimensional Potts models, with boundary conditions leading to the presence of an interface along the bottom wall of the box. We show that, after a suitable diffusive scaling, the interface weakly converges to the standard Brownian excursion.

引用

页码：832 / 861

页数：30

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