Condensation and topological phase transitions in a dynamical network model with rewiring of the links

Abstract

Growing network models with both heterogeneity of the nodes and topological constraints can give rise to a rich phase structure. We present a simple model based on preferential attachment with rewiring of the links. Rewiring probabilities are modulated by the negative fitness of the nodes and by the constraint for the network to be a simple graph. At low temperatures and high rewiring rates, this constraint induces a Bose-Einstein condensation of paths of length 2, i.e. a new phase transition with an extended condensate of links. The phase space of the model includes further transitions in the scaling of the connected component and the degeneracy of the network.

12 pages, 14 figures

References in corpus (5)

• Critical phenomena in complex networks
• Stationary and dynamical properties of a zero range process on scale-free networks
• Condensation in zero-range processes on inhomogeneous networks
• Features and heterogeneities in growing network models
• Dynamics of condensation in growing complex networks

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