Emergence of double scaling law in complex system
arXiv:1103.2001 · doi:10.1209/0295-5075/94/28006
Abstract
We introduce a stochastic model to explain a double power-law distribution which exhibits two different Paretian behaviors in the upper and the lower tail and widely exists in social and economic systems. The model incorporates fitness consideration and noise fluctuation. We find that if the number of variables (e.g. the degree of nodes in complex networks or people's incomes) grows exponentially, normal distributed fitness coupled with exponentially increasing variable is responsible for the emergence of the double power-law distribution. Fluctuations do not change the result qualitatively but contribute to the second-part scaling exponent. The evolution of Chinese airline network is taken as an example to show a nice agreement with our stochastic model.
6 pages, 6 figures, 2 tables
References in corpus (21)
- Emergence of scaling in random networks
- The structure and function of complex networks
- Power-law distributions in empirical data
- Power laws, Pareto distributions and Zipf's law
- Classes of behavior of small-world networks
- Network robustness and fragility: Percolation on random graphs
- Resilience of the Internet to random breakdowns
- Mean-field theory for scale-free random networks
- Scale-free topology of e-mail networks
- Measuring preferential attachment for evolving networks
- Statistical Analysis of Airport Network of China
- Truncation of power law behavior in "scale-free" network models due to information filtering
- Transport in weighted networks: Partition into superhighways and roads
- Fluctuation-driven dynamics of the Internet topology
- Application of Information Theory in Nuclear Liquid Gas Phase Transition
- Critical Behavior in Light Nuclear Systems: Experimental Aspects
- Anomalous Transport in Complex Networks
- How to fit the degree distribution of the air network?
- Scale-free download network for publications
- Fluctuation of the download network
- A mechanism to derive multi-power law functions: an application in the econophysics framework