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Predictability of anomalous transport on lattice networks with quenched disorder

Author(s)
kang, Peter Kyungchul; Dentz, Marco; Juanes, Ruben
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Abstract
We study stochastic transport through a lattice network with quenched disorder and evaluate the limits of predictability of the transport behavior across realizations of spatial heterogeneity. Within a Lagrangian framework, we perform coarse graining, noise averaging, and ensemble averaging, to obtain an effective transport model for the average particle density and its fluctuations between realizations. We show that the average particle density is described exactly by a continuous time random walk (CTRW), and the particle density variance is quantified by a novel two-particle CTRW.
Date issued
2011-03
URI
http://hdl.handle.net/1721.1/65411
Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Journal
Physical Review E
Publisher
American Physical Society
Citation
Kang, Peter, Marco Dentz, and Ruben Juanes. “Predictability of Anomalous Transport on Lattice Networks with Quenched Disorder.” Physical Review E 83.3 (2011) ©2011 American Physical Society
Version: Final published version
ISSN
1539-3755
1550-2376

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