Anomalous physical transport in complex networks
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
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 here transport by advection and diffusion in scale-free and Erdös-Rényi networks. Velocity distributions derived from a flow potential exhibit power-law scaling with exponent $${\nu}{\approx}{\gamma}+1$$, where $${\gamma}$$ 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.
- Research Organization:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- SC0003907
- OSTI ID:
- 1505821
- Journal Information:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 82, Issue 5; ISSN 1539-3755
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
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