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Updated: Jun 3, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Analytical treatment of biased diffusion in tubes with periodic dead ends
Alexander M Berezhkovskii1, Leonardo Dagdug
1Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA.
Abstract:
Effective mobility and diffusion coefficient of a particle in a tube with identical periodic dead ends characterize the motion on large time scale, when the particle displacement significantly exceeds the tube period. We derive formulas that show how these transport coefficients depend on the driving force and the geometric parameters of the system. Numerical tests show that values of the transport coefficients obtained from Brownian dynamics simulations are in excellent agreement with our theoretical predictions.
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