q-state Potts model on the Apollonian network

被引：27

作者：

Araujo, Nuno A. M. ^{[1
]}

Andrade, Roberto F. S. ^{[2
]}

Herrmann, Hans J. ^{[1
,3
]}

机构：

[1] ETH, IfB, CH-8093 Zurich, Switzerland

[2] Univ Fed Bahia, Inst Fis, BR-40210210 Salvador, BA, Brazil

[3] Univ Fed Ceara, Dept Fis, BR-60451970 Fortaleza, Ceara, Brazil

来源：

PHYSICAL REVIEW E | 2010年 / 82卷 / 04期

关键词：

COMPLEX NETWORKS;

D O I：

10.1103/PhysRevE.82.046109

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The q-state Potts model is studied on the Apollonian network with Monte Carlo simulations and the transfer matrix method. The spontaneous magnetization, correlation length, entropy, and specific heat are analyzed as a function of temperature for different number of states, q. Different scaling functions in temperature and q are proposed. A quantitative agreement is found between results from both methods. No critical behavior is observed in the thermodynamic limit for any number of states.

引用

页数：7

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