| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
|
|
|
|
Constrained Traffic of Particles on Complex Networks |
| MENG Qing-Kuan1**, ZHU Jian-Yang2
|
1School of Science, Shandong University of Technology, Zibo 255049
2Department of Physics, Beijing Normal University, Beijing 100875
|
|
| Cite this article: |
|
MENG Qing-Kuan, ZHU Jian-Yang 2011 Chin. Phys. Lett. 28 078901 |
|
|
|
|
Abstract We study the traffic of particles on complex networks under constraints. The constraints we propose are the different interactions between particles and the limited capability of node holding particles. We give the grand partition function of the system and find the distributions of particles at the dynamically balanced point. Then, we investigate the internal relations among the theories of classical statistics, quantum statistics and the zero range process. Finally, we find the finite temperature of Bose–Einstein condensation. Numerical results verify our theoretical expectations.
|
| Keywords:
89.75.-k
03.75.Nt
|
|
|
Received: 25 January 2011
Published: 29 June 2011
|
|
| PACS: |
89.75.-k
|
(Complex systems)
|
| |
03.75.Nt
|
(Other Bose-Einstein condensation phenomena)
|
|
|
|
|
|
[1] Albert R and Barabási A L 2002 Rev. Mod. Phys. 74 47
[2] Newman M E J 2003 SIAM Rev. 45 167
[3] Goh K I, Kahng B and Kim D 2001 Phys. Rev. Lett. 87 278701
[4] Barthélemy M 2004 Eur. Phys. J. B 38 163
[5] Newman M E J 2005 Soc. Networks 27 39
[6] de Moura A P S 2005 Phys. Rev. E 71 066114
[7] Germano R and de Moura A P S 2006 Phys. Rev. E 74 036117
[8] Meng Q K and Zhu J Y 2009 Chin. Phys. B 18 3632
[9] Evans M R and Hanney T 2005 J. Phys. A 38 R195
[10] Majumdar S N, Evans M R and Zia R K P 2005 Phys. Rev. Lett. 94 180601
[11] Noh J D, Shim G M and Lee H 2005 Phys. Rev. Lett. 94 198701
[12] Tang M, Liu Z H and Zhou J 2006 Phys. Rev. E 74 036101
Tang M, Liu Z H and Li B W 2010 Chaos 20 043135
Tang M, Liu L and Liu Z H 2009 Phys. Rev. E 79 016108
[13] Bollobás B 1998 Modern Graph Theory (New York: Springer-Verlag)
[14] Barabási A L and Albert R 1999 Science 286 509
[15] Dorogovtsev S N and Mendes J F F 2002 Adv. Phys. 51 1079
[16] Bianconi G and Barabási A L 2001 Phys. Rev. Lett. 86 5632
[17] Ohkubo J 2007 Phys. Rev. E 76 051108
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
