Journal articles
Effective transport in random shear flows
Abstract : We obtain an effective transport description for the superdiffusive motion of random walkers in stratified flow by projection of the process on the direction of stratification. The effective dimensionally reduced motion is shown to describe a correlated random walk characterized by the Lagrangian velocity correlation. We analyze the projected motion through exact analytical solutions for the distribution density for an arbitrary correlated Gaussian noise and derive an evolution equation for the one-point and conditional two-point displacement densities. The latter gives an explicit effective equation for superdiffusive transport in stratified random flow and demonstrates that the displacement density has a Gaussian scaling form for all times.
Cited literature [21 references]
https://hal-insu.archives-ouvertes.fr/insu-00372061
Contributor : Isabelle Dubigeon <>
Submitted on : Wednesday, September 23, 2020 - 10:32:41 AM
Last modification on : Thursday, January 14, 2021 - 11:47:25 AM
Long-term archiving on: : Thursday, December 3, 2020 - 1:30:53 PM
Contributor : Isabelle Dubigeon <>
Submitted on : Wednesday, September 23, 2020 - 10:32:41 AM
Last modification on : Thursday, January 14, 2021 - 11:47:25 AM
Long-term archiving on: : Thursday, December 3, 2020 - 1:30:53 PM
File
PhysRevE.77.020101.pdf
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