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Updated: Sep 20, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
How Stickiness Can Speed Up Diffusion in Confined Systems.
A Alexandre1, M Mangeat2, T Guérin1
1Laboratoire Ondes et matière d'Aquitaine, CNRS/University of Bordeaux, F-33400 Talence, France.
Attractive surfaces can unexpectedly accelerate Brownian tracer dispersion in heterogeneous media, even with slower surface diffusion. This finding challenges conventional understanding of crowding effects in diffusion studies.
Area of Science:
- Physical Chemistry
- Materials Science
- Statistical Mechanics
Background:
- Diffusion in heterogeneous media is typically modeled using reflecting obstacles and surfaces.
- Crowding effects from these boundaries are known to impede tracer dispersion.
- Understanding boundary interactions is crucial for predicting transport phenomena.
Purpose of the Study:
- To investigate the impact of attractive surfaces on tracer dispersion in heterogeneous media.
- To analytically demonstrate how surface interactions can accelerate diffusion.
- To explore conditions where enhanced diffusion occurs despite surface properties.
Main Methods:
- Developed a general adsorption-desorption model incorporating surface diffusion.
- Employed analytical methods to derive dispersion formulas.
- Validated findings with numerical calculations and Monte Carlo simulations.
Main Results:
- Attractive surfaces and obstacles can accelerate tracer dispersion, contrary to the crowding effect.
- Enhanced diffusion is observed even when surface diffusion is slower than bulk diffusion.
- Diffusion enhancement persists even when surface-only diffusion is lower than with reflecting boundaries.
Conclusions:
- Surface attractiveness can overcome crowding effects to accelerate diffusion.
- The study provides analytical frameworks for understanding diffusion enhancement in complex geometries.
- Results offer new perspectives on transport phenomena in confined and structured environments.
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