Predictability of anomalous transport on lattice networks with quenched disorder

TitlePredictability of anomalous transport on lattice networks with quenched disorder
Publication TypeJournal Article
Year of Publication2011
AuthorsKang, PK, Dentz, M, Jung, N-H
JournalPhysical Review E
Volume83
Issue3
Date PublishedJan-03-2011
ISSN1539-3755
AbstractWe 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.
URLhttp://link.aps.org/doi/10.1103/PhysRevE.83.030101
DOI10.1103/PhysRevE.83.030101
Short TitlePhys. Rev. E

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