The Kauffman model on Small-World Topology

Details The Kauffman model on Small-World Topology The Kauffman model on Small-World Topology

2006-03-30

arxiv.org/abs/cond-mat/0603827v3

Physics

Condensed Matter

Statistical Mechanics

AMS-LaTeX v1.2, 8 pages with 8 figures Encapsulated Postscript, to be published in Physica A

Scientific paper

10.1016/j.physa.2006.04.063

We apply Kauffman's automata on small-world networks to study the crossover
between the short-range and the infinite-range case. We perform accurate
calculations on square lattices to obtain both critical exponents and fractal
dimensions. Particularly, we find an increase of the damage propagation and a
decrease in the fractal dimensions when adding long-range connections.

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