Chin. Phys. Lett.  2009, Vol. 26 Issue (8): 086401    DOI: 10.1088/0256-307X/26/8/086401
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
Self-Organization of Weighted Networks in Connection with the Misanthrope Process
MENG Qing-Kuan, ZHU Jian-Yang
Department of Physics, Beijing Normal University, Beijing 100875
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MENG Qing-Kuan, ZHU Jian-Yang 2009 Chin. Phys. Lett. 26 086401
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Abstract From an undirected random graph, by the weight redistribution of the edges, we obtain a weighted network. The weight redistribution of the edges can be connected to the well-known Misanthrope process, in which distinguishable particles hop among different urns. Under specific conditions, the condensation phenomena can be observed, i.e., nearly all the edges connect to one vertex in the network. When there is no condensation, by adjusting the parameters, the strength distribution can be scale-free or exponentially decreasing. The numerical results fit well with the analytical ones.
Keywords: 64.60.-i      02.50.Ey      05.65.+b      89.75.-k     
Received: 13 October 2008      Published: 30 July 2009
PACS:  64.60.-i (General studies of phase transitions)  
  02.50.Ey (Stochastic processes)  
  05.65.+b (Self-organized systems)  
  89.75.-k (Complex systems)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/8/086401       OR      https://cpl.iphy.ac.cn/Y2009/V26/I8/086401
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MENG Qing-Kuan
ZHU Jian-Yang
[1] Albert R, Barab\'{asi A L 2002 Rev. Mod. Phys. 74 47
[2] Watts D J and Strogatz S H 1998 Nature 393 440
[3] Faloutsos M, Faloutsos P and Faloutsos C 1999 Comput. Commun. Rev. 29 251
[4] Albert R, Jeong H and Barab\'{asi A L 1999 Nature 401 130
[5] Newman M E J 2001 Proc. Natl. Acad. Sci. U.S.A. 98 4043
[6] Chen J Z and Zhu J Y 2007 Chin. Phys. Lett. 24839
[7] Chen J Z, Liu W and Zhu J Y 2006 Phys. Rev. E 73 056111
[8] Zhu H, Wang X R and Zhu J Y 2003 Phys. Rev. E 68 056121
[9] Barab\'{asi A L and Albert R 1999 Science 286 15
[10] Barrat A, Barth\'{elemy M, Pastor-Satorras R andVespignani A 2004 Proc. Natl. Acad. Sci. U.S.A. 101 3747
[11] Godr\`{eche C and Luck J M 2002 J. Phys. 141601
[12] Evans M R and Hanney T 2005 J. Phys. A 38R195
[13] Cocozza-Thivent C 1985 Z. Wahrscheinlichkeit. 70 509
[14] Angel A G, Hanney T and Evans M R 2006 Phys. Rev. E 73 016105
[15] Gro{\sskinsky S, Sch\"{utz G M and Spohn H 2003 J.Stat. Phys. 113 389
[16] Godr\`{eche C 2003 J. Phys. A 36 6313
[17] Noh J D, Shim G M and Lee H 2005 Phys. Rev. Lett. 94 198701
[18] Ohkubo J 007 Phys. Rev. E 76 051108
[19] Drouffe J M, Godr\`{eche C and Camia F 1998 J.Phys. A 31 L19
[20] Godr\`{eche C and Luck J M 2001 Eur. Phys. J. B 23 473
[21] Bialas P, Burda Z and Johnston D 1997 Nucl. Phys.B 493 505
[22] Krapivsky P L and Redner S 2001 Phys. Rev. E 63 066123
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