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Updated: May 8, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Direct evaluation of the position dependent diffusion coefficient and persistence time from the equilibrium density
Wilmer Olivares-Rivas1, Pedro J Colmenares, Floralba López
1Departamento de Química, Grupo de Química Teórica, Quimicofísica de Fluidos y Fenómenos Interfaciales, Universidad de Los Andes, Mérida 5101, Venezuela. wilmer@ula.ve
Abstract:
We derive expressions for the transverse diffusion coefficient D(z) and the average persistence time τ(z; L) within a layer of width L, for particles of a non-homogeneous fluid enclosed in a planar nanopore. The method allows the direct evaluation of these position-dependent dynamical quantities from the equilibrium local particle density profile. We use results for the density and persistence time profiles from the virtual layer molecular dynamics method to numerically assess the significance of the Smoluchowski approximation.
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