Chaotic repellers in the antiferromagnetic ising model

被引：15

作者：

Ananikian, NS

Dallakian, SK

Izmailian, NS

Oganessyan, KA

机构：

[1] Department of Theoretical Physics, Yerevan Physics Institute, 375036 Yerevan

来源：

PHYSICS LETTERS A | 1996年 / 214卷 / 3-4期

关键词：

Ising; Husimi; antiferromagnetic; chaos; repeller;

D O I：

10.1016/0375-9601(96)00176-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the first time we consider the antiferromagnetic Ising model in the Case of fully developed chaos and obtain the exact connection between this model and chaotic repellers. We describe the chaotic properties of this statistical mechanical system via the invariants characterizing a fractal set and show that in the chaotic region it displays a phase transition at the positive ''temperature'' beta(c) = 0.89. We obtain the density of the invariant measure on the chaotic repeller.

引用

页码：205 / 210

页数：6

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