The Kauffman model on Small-World Topology

The Kauffman model on Small-World Topology

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 propagat...

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Hauptverfasser: Ferraz, Carlos Handrey A, Herrmann, Hans J
Format: Artikel
Sprache:eng
Schlagworte:
Physics - Disordered Systems and Neural Networks
Physics - Statistical Mechanics
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Beschreibung
Zusammenfassung: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.
DOI:10.48550/arxiv.cond-mat/0603827