Anomalous physical transport in complex networks

• Main Authors: Nicolaides, Christos (Contributor), Cueto-Felgueroso, Luis (Contributor), Juanes, Ruben (Contributor)
• Other Authors: Massachusetts Institute of Technology. Department of Civil and Environmental Engineering (Contributor)
• Format: Article
• Language: English
• Published: American Physical Society, 2011-04-28T19:46:06Z.
• Subjects: Article
• Online Access: Get fulltext

The emergence of scaling in transport through interconnected systems is a consequence of the topological structure of the network and the physical mechanisms underlying the transport dynamics. We study transport by advection and diffusion in scale-free and Erdős-Rényi networks. Velocity distributions derived from a flow potential exhibit power-law scaling with exponent ν≈γ+1 [v ≈ gamma plus 1] , where γ [gamma] is the exponent of network connectivity. Using stochastic particle simulations, we find anomalous (nonlinear) scaling of the mean-square displacement with time. We show the connection with existing descriptions of anomalous transport in disordered systems, and explain the mean transport behavior from the coupled nature of particle jump lengths and transition times.
Vergottis Graduate Foundation
United States. Dept. of Energy (Award no. DE-SC0003907)
ARCO Chair in Energy Studies