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
收藏
页数：7
相关论文
共 50 条
  • [31] Resting state dynamic functional connectivity: Network topology analysis
    Knyazeva, Irina
    Poyda, Alexey
    Orlov, Vyacheslav
    Verkhlyutov, Vitaliy
    Makarenko, Nikolai
    Kozlov, Stanislav
    Velichkovsky, Boris
    Ushakov, Vadim
    [J]. BIOLOGICALLY INSPIRED COGNITIVE ARCHITECTURES, 2018, 23 : 43 - 53
  • [32] State detection from local measurements in network synchronisation processes
    Chen, Chih-Wei
    Roy, Sandip
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2013, 86 (09) : 1634 - 1645
  • [33] A growing social network model in geographical space
    Antonioni, Alberto
    Tomassini, Marco
    [J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2017,
  • [34] A Collaboration Network Model with Multiple Evolving Factors
    Xu, Xiu-Lian
    Liu, Chun-Ping
    He, Da-Ren
    [J]. CHINESE PHYSICS LETTERS, 2016, 33 (04)
  • [35] Properties of the 'friend of a friend' model for network generation
    Lo, Tiffany Y. Y.
    Levens, Watson
    Sumpter, David J. T.
    [J]. JOURNAL OF COMPLEX NETWORKS, 2024, 12 (04)
  • [36] A complex network model based on the Gnutella protocol
    Qi, Xiaoguang
    Yue, Guang
    Zhang, Liang
    He, Mingfeng
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2009, 388 (18) : 3955 - 3960
  • [37] Statistical Properties of a Generalized Threshold Network Model
    Ide, Yusuke
    Konno, Norio
    Masuda, Naoki
    [J]. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2010, 12 (03) : 361 - 377
  • [38] A social network model driven by events and interests
    Sun, Xiaoling
    Lin, Hongfei
    Xu, Kan
    [J]. EXPERT SYSTEMS WITH APPLICATIONS, 2015, 42 (09) : 4229 - 4238
  • [39] Statistical Properties of a Generalized Threshold Network Model
    Yusuke Ide
    Norio Konno
    Naoki Masuda
    [J]. Methodology and Computing in Applied Probability, 2010, 12 : 361 - 377
  • [40] The network model of mobile agents with the human mobility
    Ding Yi-Min
    Yang Chang-Ping
    [J]. ACTA PHYSICA SINICA, 2012, 61 (23)
12345