Robustness of the avalanche dynamics in data packet transport on scale-free networks

Details Robustness of the avalanche dynamics in data packet transport on scale-free networks Robustness of the avalanche dynamics in data packet transport on scale-free networks

2004-10-27

arxiv.org/abs/cond-mat/0410684v2

Phys. Rev. E 71, 056108 (2005)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 7 figures, final version published in PRE

Scientific paper

10.1103/PhysRevE.71.056108

We study the avalanche dynamics in the data packet transport on scale-free networks through a simple model. In the model, each vertex is assigned a capacity proportional to the load with a proportionality constant $1+a$. When the system is perturbed by a single vertex removal, the load of each vertex is redistributed, followed by subsequent failures of overloaded vertices. The avalanche size depends on the parameter $a$ as well as which vertex triggers it. We find that there exists a critical value $a_c$ at which the avalanche size distribution follows a power law. The critical exponent associated with it appears to be robust as long as the degree exponent is between 2 and 3, and is close in value to that of the distribution of the diameter changes by single vertex removal.

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