Condensation phase transition in nonlinear fitness networks
arXiv:1103.3196 · doi:10.1209/0295-5075/100/38003
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.
6 pages, 5 figures
References in corpus (7)
- Critical phenomena in complex networks
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Dynamics of the condensate in zero-range processes
- Complete Condensation in a Zero Range Process on Scale-Free Networks
- Stationary and dynamical properties of a zero range process on scale-free networks
- Organization of complex networks without multiple connections
- Condensation phenomena with distinguishable particles