Speed and fluctuations for some driven dimer models

被引：3

作者：

Chhita, Sunil ^{[1
]}

Ferrari, Patrik L. ^{[2
]}

Toninelli, Fabio L. ^{[3
]}

机构：

[1] Univ Durham, Dept Math Sci, Stockton Rd, Durham DH1 3LE, England

[2] Univ Bonn, Inst Appl Math, Endenicher Allee 60, D-53115 Bonn, Germany

[3] Univ Claude Bernard Lyon 1, Univ Lyon, CNRS, Inst Camille Jordan,UMR 5208, F-69622 Villeurbanne, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE D | 2019年 / 6卷 / 04期

关键词：

Random surfaces; interacting particle systems; random tilings; limit shapes; determinantal processes; Kasteleyn matrices; (2+1)D GROWTH; STATISTICS; LATTICE;

D O I：

10.4171/AIHPD/77

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider driven dimer models on the square and honeycomb graphs, starting from a stationary Gibbs measure. Each model can be thought of as a two dimensional stochastic growth model of an interface, belonging to the anisotropic KPZ universality class. We use a combinatorial approach to determine the speed of growth and show logarithmic growth in time of the variance of the height function.

引用

页码：489 / 532

页数：44

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