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.
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收藏
页数：7
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