Sharp asymptotic behavior for wetting models in (1+1)-dimension

被引：21

作者：

Caravenna, F

Giacomin, G

Zambotti, L

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Univ Paris 07, Lab Probabil, CNRS, UMR 7599, F-75251 Paris 05, France

[3] UFR Math, F-75251 Paris 05, France

[4] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2006年 / 11卷

关键词：

wetting transition; critical wetting; delta-pinning model; renewal theory; fluctuation theory for random walks;

D O I：

10.1214/EJP.v11-320

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 continuous and discrete (1+1)-dimensional wetting models which undergo a localization/ delocalization phase transition. Using a simple approach based on Renewal Theory we determine the precise asymptotic behavior of the partition function, from which we obtain the scaling limits of the models and an explicit construction of the infinite volume measure in all regimes, including the critical one.

引用

页码：345 / 362

页数：18

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