Universal flux-fluctuation law in small systems

Scientific Reports

Volumn 4, Issue , 2014, Pages

  Huang, Zi Gang ^a,b   Dong, Jia Qi ^a   Huang, Liang ^a,b   Lai, Ying Cheng ^b,c  

^a LANZHOU UNIVERSITY   (China)

^b AZ 85281   (United States)

^c ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEHAVIOR; MODEL; PREDICTION;

EID: 84912529780     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep06787     Document Type: Article

References (19)

1. de Menezes, M. & Barabási, A. L. Fluctuations in network dynamics. Phys. Rev. Lett. 92, 028701 (2004).
2. Eisler, Z. & Kertész, J. Random walks on complex networks with inhomogeneous impact. Phys. Rev. E 71, 057104 (2005).
3. Duch, J. & Arenas, A. Scaling of fluctuations in traffic on complex networks. Phys. Rev. Lett. 96, 218702 (2006).
4. Yoon, S., Yook, S.-H. & Kim, Y. Scaling property of flux fluctuations from random walks. Phys. Rev. E 76, 056104 (2007).
5. Kujawski, B., Tadii, B. & Rodgers, G. J. Preferential behaviour and scaling in diffusive dynamics on networks. New J. Phys. 9, 154-154 (2007).
6. Meloni, S., Gómez-Gardees, J., Latora, V. & Moreno, Y. Scaling breakdown in flow fluctuations on complex networks. Phys. Rev. Lett. 100, 208701 (2008).
7. Zhou, Z. et al. Universality of flux-fluctuation law in complex dynamical systems. Phys. Rev. E 87, 012808 (2013).
8. Zhou, Z., Huang, Z.-G., Yang, L., Xue, D.-S. & Wang, Y.-H. The effect of human rhythm on packet delivery. J. Stat. Mech. Theory E. 2010, P08001 (2010).
9. Bialek, W. et al. Statistical mechanics for natural flocks of birds. Proc. Natl. Acad. Sci. USA 10, 1073 (2012).
10. Ritort, F. Single-molecule experiments in biological physics: methods and applications. J. Phys.: Condens. Matter 18, R531 (2006).
11. Zhang, H., Tian, X.-J., Mukhopadhyay, A., Kim, K. S. & Xing, J. Statistical mechanics model for the dynamics of collective epigenetic histone modification. Phys. Rev. Lett. 112, 068101 (2014).
12. Barabási, A. L. & Albert, R. Emergence of scaling in random networks. Science 286, 509-512 (1999).
13. Echenique, P., Gómez-Gardees, J. & Moreno, Y. Improved routing strategies for internet traffic delivery. Phys. Rev. E 70, 056105 (2004).
14. Echenique, P., Gómez-Gardees, J. & Moreno, Y. Dynamics of jamming transitions in complex networks. Europhys. Lett. 71, 325-331 (2005).
15. Erdos, P. & Renyi, A. On the evolution of random graphs. Bull. Inst. Internat. Statist 38, 343-347 (1960).
16. Watts, D. J. & Strogatz, S. H. Collective dynamics of 'small-world' networks. Nature 393, 440-442 (1998).
17. Yan, G., Zhou, T., Hu, B., Fu, Z.-Q. & Wang, B.-H. Efficient routing on complex networks. Phys. Rev. E 73, 046108 (2006).
18. Kishore, V., Santhanam, M. S. & Amritkar, R. E. Extreme events on complex networks. Phys. Rev. Lett. 106, 188701 (2011).
19. Chen, Y.-Z., Huang, Z.-G. & Lai, Y.-C. Controlling extreme events on complex networks. Sci. Rep. 4, 6121 (2014).