TY - JOUR
T1 - Predictability of anomalous transport on lattice networks with quenched disorder
AU - Kang, Peter K.
AU - Dentz, Marco
AU - Juanes, Ruben
PY - 2011/3/4
Y1 - 2011/3/4
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/79953159520
UR - https://www.scopus.com/inward/citedby.url?scp=79953159520&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.83.030101
DO - 10.1103/PhysRevE.83.030101
M3 - Article
AN - SCOPUS:79953159520
SN - 1539-3755
VL - 83
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 030101
ER -