Sharp asymptotic behavior for wetting models in (1+1)-dimension
Sharp asymptotic behavior for wetting models in (1+1)-dimension
复制标题
(1 1) 维润湿模型的尖锐渐近行为
DOI：
10.1214/ejp.v11-320
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发表时间：
2005
影响因子：
1.4
通讯作者：
L. Zambotti
中科院分区：
文献类型：
--
作者：
F. Caravenna;G. Giacomin;L. Zambotti
我们考虑连续和离散（1+1）维润湿模型，它们经历了局部化/离局部化相变。利用基于更新理论的简单方法，我们确定了配分函数的精确渐近行为，由此得到了模型的尺度极限和在包括临界区域在内的所有区域的无限体积测度的显式构造。
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.