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Title: Anomalous physical transport in complex networks

Abstract

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.

Authors:
 [1];  [1];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1505821
Grant/Contract Number:  
SC0003907
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Additional Journal Information:
Journal Volume: 82; Journal Issue: 5; Journal ID: ISSN 1539-3755
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Nicolaides, Christos, Cueto-Felgueroso, Luis, and Juanes, Ruben. Anomalous physical transport in complex networks. United States: N. p., 2010. Web. doi:10.1103/physreve.82.055101.
Nicolaides, Christos, Cueto-Felgueroso, Luis, & Juanes, Ruben. Anomalous physical transport in complex networks. United States. doi:10.1103/physreve.82.055101.
Nicolaides, Christos, Cueto-Felgueroso, Luis, and Juanes, Ruben. Wed . "Anomalous physical transport in complex networks". United States. doi:10.1103/physreve.82.055101. https://www.osti.gov/servlets/purl/1505821.
@article{osti_1505821,
title = {Anomalous physical transport in complex networks},
author = {Nicolaides, Christos and Cueto-Felgueroso, Luis and Juanes, Ruben},
abstractNote = {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.},
doi = {10.1103/physreve.82.055101},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 5,
volume = 82,
place = {United States},
year = {2010},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 18 works
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