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Predictability of anomalous transport on lattice networks with quenched disorder

Peter K. Kang1, Marco Dentz2, and Ruben Juanes1,*

  • 1Massachusetts Institute of Technology, 77 Massachusetts Avenue, Building 48, Cambridge, Massachusetts 02139, USA
  • 2Spanish National Research Council (IDÆA-CSIC), E-08034 Barcelona, Spain

  • *juanes@mit.edu
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Phys. Rev. E 83, 030101(R) – Published 4 March, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.030101

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.

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Outline

Information

Phys. Rev. E 83, 030101(R)– Published 4 March, 2011
  • Received 20 July 2010

©2011 American Physical Society

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