English   español  
Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/217580
Share/Impact:
Statistics
logo share SHARE logo core CORE   Add this article to your Mendeley library MendeleyBASE

Visualizar otros formatos: MARC | Dublin Core | RDF | ORE | MODS | METS | DIDL | DATACITE
Exportar a otros formatos:

Title

Spatial Markov model of anomalous transport through random lattice networks

AuthorsKang, P.K.; Dentz, Marco ; Le Borgne, T.; Juanes, R.
Issue Date2011
PublisherAmerican Physical Society
CitationPhysical Review Letters 107 (2011)
AbstractFlow through lattice networks with quenched disorder exhibits a strong correlation in the velocity field, even if the link transmissivities are uncorrelated. This feature, which is a consequence of the divergence-free constraint, induces anomalous transport of passive particles carried by the flow. We propose a Lagrangian statistical model that takes the form of a continuous time random walk with correlated velocities derived from a genuinely multidimensional Markov process in space. The model captures the anomalous (non-Fickian) longitudinal and transverse spreading, and the tail of the mean first-passage time observed in the Monte Carlo simulations of particle transport. We show that reproducing these fundamental aspects of transport in disordered systems requires honoring the correlation in the Lagrangian velocity. © 2011 American Physical Society.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.107.180602
URIhttp://hdl.handle.net/10261/217580
DOIhttp://dx.doi.org/10.1103/PhysRevLett.107.180602
Identifiersdoi: 10.1103/PhysRevLett.107.180602
issn: 0031-9007
Appears in Collections:(IDAEA) Artículos
Files in This Item:
File Description SizeFormat 
PhysRevLett.107.180602.pdf636,9 kBAdobe PDFThumbnail
View/Open
Show full item record
Review this work
 


WARNING: Items in Digital.CSIC are protected by copyright, with all rights reserved, unless otherwise indicated.