Non mean-field behavior of the contact process on scale-free networks

Details Non mean-field behavior of the contact process on scale-free networks Non mean-field behavior of the contact process on scale-free networks

2005-06-23

arxiv.org/abs/cond-mat/0506605v2

Phys. Rev. Lett. 96, 038701 (2006)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, published version

Scientific paper

10.1103/PhysRevLett.96.038701

We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the control parameter, characterized by a set of exponents depending on the network structure. Since finite size effects are large and the infinite network limit cannot be reached in practice, a numerical study of the transition requires the application of finite size scaling theory. Contrary to other critical phenomena studied previously, the contact process in scale-free networks exhibits a non-trivial critical behavior that cannot be quantitatively accounted for by mean-field theory.

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