Predictability of anomalous transport on lattice networks with quenched disorder
Name
Kang-2011-Predictability of an.pdf
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Author(s)
kang, Peter Kyungchul
Dentz, Marco
Juanes, Ruben
Date Issued
March 2011
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevE.83.030101
