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DY: Fachverband Dynamik und Statistische Physik
DY 56: Poster - Statistical Physics
DY 56.19: Poster
Thursday, March 19, 2015, 16:00–18:00, Poster A
Emergent large-scale structures of Boolean networks optimized for criticality — Marco Möller1 and •Tiago P. Peixoto2 — 1Institut für Festkörperphysik, Technische Universität Darmstadt — 2Institut für Theoretische Physik, Universität Bremen
We construct statistical ensembles of modular Boolean networks which are constrained to lie at the critical line between frozen and chaotic dynamic regimes. The ensembles are maximally random given the imposed constraints, and thus represent null models of critical networks. The structures of the ensembles undergo several phase transitions from a fully random structure to several ordered ones, including a prominent core-periphery structure, and an "attenuated" two-group structure, where the network is divided in two groups of nodes, and one of them has Boolean functions with very low sensitivity. This shows that such simple large-scale structures are the most likely to occur when optimizing for criticality, in the absence of any other constraint or competing optimization criteria.