| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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Self-Organized Criticality in Small-World Networks Based on the Social Balance Dynamics |
| MENG Qing-Kuan
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School of Science, Shandong University of Technology, Zibo 255049
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MENG Qing-Kuan 2011 Chin. Phys. Lett. 28 118901 |
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Abstract A node model is proposed to study the self-organized criticality in the small-world networks which represent the social networks. Based on the node model and the social balance dynamics, the social networks are mapped to the thermodynamic systems and the phenomena are studied with physical methods. It is found that the avalanche in the small-world networks at the critical state satisfies the power-law distribution spatially and temporally.
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89.75.-k
05.65.+b
87.23.Ge
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Received: 02 July 2011
Published: 30 October 2011
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[1] Castellano C, Fortunato S and Loreto V 2009 Rev. Mod. Phys. 81 591
[2] Antal T, Krapivsky P L and Redner S 2005 Phys. Rev. E 72 036121
[3] Heider F 1944 Psychol. Rev. 51 358
Heider F 1946 J. Psychol. 21 107
Heider F 1958 The Psychology of Interpersonal Relations (New York: Wiley)
[4] Wasserman S and Faust K 1994 Social Network Analysis: Methods and Applications (New York: Cambridge University)
[5] Radicchi F, Vilone D and Meyer-Ortmanns H 2007 Phys. Rev. E 75 021118
[6] Radicchi F, Vilone D, Yoon S and Meyer-Ortmanns H 2007 Phys. Rev. E 75 026106
[7] Bak P, Tang C and Wiesenfeld K 1987 Phys. Rev. Lett. 59 381
[8] Bak P 1996 How Nature Works (New York: Springer-Verlag)
[9] Jensen H J 1998 Self Organized Criticality (Cambridge: Cambridge University)
[10] Bonabeau E 1995 J. Phys. Soc. Jpn. 64 327
[11] Goh K I, Lee D S, Kahng B and Kim D 2003 Phys Rev. Lett. 91 148701
[12] Lee D S, Goh K I, Kahng B and Kim D 2004 Physica A 338 84
[13] Lee D S, Goh K I, Kahng B and Kim D 2004 J. Korean Phys. Soc. 44 633
[14] de Arcangelis L and Herrmann H 2002 Physica A 308 545
[15] Dorogovtsev S N, Goltsev A V and Mendes J F F 2008 Rev. Mod. Phys. 80 1275
[16] Watts D J and Strogatz S H 1998 Nature 393 440
[17] Newman M E J and Watts D J 1999 Phys. Lett. A 263 341
[18] Glauber R J 1963 J. Math. Phys. 4 294
[19] Zhu J Y and Yang Z R 1999 Phys. Rev. E 59 1551
Zhu H, Zhu J Y and Zhou Y 2002 Phys. Rev. E 66 036106
[20] Chen J Z and Zhu J Y 2008 Int. J. Mod. Phys. A 23 3891
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