Multi-State Coupling Entropy of Interactive Dynamic Process on Scale-Free Network

Abstract:

The quantification of complexity is one of the most fundamental issues in the investigation of complex networks. In this paper, we propose multi-states entropy to quantify the complexity of a typical diffusion system, in which the interactive dynamics is characterized by a finite capacity effect. We show that the entropy strongly depend on the local topology and the finite capacity. Furthermore, based on the maximum entropy principle, we optimize the interaction of these two factors to achieve the most efficient interactive diffusion process on scale-free networks.

• Periodical: Applied Mechanics and Materials (Volume 421)
• Pages: 711-716
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.421.711
• Online since: September 2013
• Authors: Shi Jin Jiang, Shao Ting Tang, Sen Pei, Shu Yan, Wei Hua Li, Xian Teng, Zhi Ming Zheng
• Keywords: Complex Network, Complexity, Entropy, Zero-Range Process

References

[1] D. J. Watts S.H. Strogatz, Nature[J] , 1998. 393, 440.

[2] A. -L. Baraba´si and R. Albert, Science 286, 509 (1999).

[3] S.H. Strogatz, Nature[J], 2001, 410, 268.

[4] F. Reif: Fundamentals of Statistical and Thermal Physics, McGraw-Hill, New York, (1965).

[5] T. Cover,J. Thomas: Elements of Information Theory , Wiley-Interscience, New York, (1991).

[6] P. Walters: An Introduction to Ergodic Theory , Springer-Verlag, New York, (2000).

[7] Shao-ting Tang, Xin Jiang, Sen Pei, etc. Int. J. Mod. Phys. C22, 883 (2011).

[8] M. REvans T.J. Hanney, Phys. A[J], 2005. 38, 195.

[9] Shao-ting Tang, XinJiamg, Li-li Ma; Zhan-li Zhang, Zhi-mingZheng, Can. J. Phys[J], 2010. 88, 139.

[10] J. Gomez-Gardenes, Vito. Latora, Phys. Rev. E[J], 2008. 78, 065102.

[11] Bing Wan, Huang-wen Tang, Physica A[J], 2006. 363, 591–596.