Multifractal approach to three-site antiferromagnetic Ising model

被引：18

作者：

Ananikian, NS

Dallakian, SK

机构：

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

来源：

PHYSICA D | 1997年 / 107卷 / 01期

关键词：

D O I：

10.1016/S0167-2789(97)00060-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The three-site antiferromagnetic Ising model on Husimi tree is investigated in a magnetic field. Macroscopic quantity of the three-site antiferromagnetic Ising model is generated by a one-dimensional map. Local Lyapunov exponents of this map are introduced as order parameters for the proper characterization of rich phase structure of the three-site antiferromagnetic Ising model using the thermodynamic formalism of multifractals. An approximate ''temperature'' of the phase transition has been obtained and shown to be dependent on the parameters of model and vary from negative to positive value.

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页码：75 / 82

页数：8

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