Layered Systems at the Mean Field Critical Temperature

被引：6

作者：

Fontes, Luiz Renato ^{[1
]}

Marchetti, Domingos H. U. ^{[2
]}

Merola, Immacolata ^{[3
]}

Presutti, Errico ^{[4
]}

Vares, Maria Eulalia ^{[5
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP, Brazil

[2] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo, SP, Brazil

[3] Univ Aquila, DISIM, I-67100 Laquila, Italy

[4] GSSI, Laquila, Italy

[5] Univ Fed Rio de Janeiro, Inst Matemat, Rio De Janeiro, RJ, Brazil

来源：

JOURNAL OF STATISTICAL PHYSICS | 2015年 / 161卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Kac potentials; Lebowitz-Penrose free energy functional; Phase transition; FLUCTUATIONS;

D O I：

10.1007/s10955-015-1307-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Ising model on where on each horizontal line the interaction is given by a ferromagnetic Kac potential with coupling strength at the mean field critical temperature. We then add a nearest neighbor ferromagnetic vertical interaction of strength and prove that for every the systems exhibits phase transition provided is small enough.

引用

页码：91 / 122

页数：32

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