Condensation phase transition in nonlinear fitness networks

TL;DR

This paper investigates the condensation phase transitions in complex networks influenced by nonlinear and fitness-based attachment mechanisms, revealing a novel phase structure dependent on key parameters.

Contribution

It introduces a unifying framework that encompasses both nonlinear and fitness models, uncovering new phase structures in network evolution.

Findings

Identification of a new phase structure influenced by fitness and nonlinearity

Demonstration of condensation transitions using Bianconi-Barabasi method

Highlighting the roles of nonlinear and fitness mechanisms in network formation

Abstract

We analyze the condensation phase transitions in out-of-equilibrium complex networks in a unifying framework which includes the nonlinear model and the fitness model as its appropriate limits. We show a novel phase structure which depends on both the fitness parameter and the nonlinear exponent. The occurrence of the condensation phase transitions in the dynamical evolution of the network is demonstrated by using Bianconi-Barabasi method. We find that the nonlinear and the fitness preferential attachment mechanisms play important roles in formation of an interesting phase structure.