Diffusion in a Curved Tube

Abstract

The diffusion of particles in confining walls forming a tube is discussed. Such a transport phenomenon is observed in biological cells and porous media. We consider the case in which the tube is winding with curvature and torsion, and the thickness of the tube is sufficiently small compared with its curvature radius. We discuss how geomerical quantities appear in a quasi-one-dimensional diffusion equation.

8pages, 6 figures

References in corpus (2)

• Kinetic Equations for Diffusion in the Presence of Entropic Barriers
• Curvature Dependent Diffusion Flow on Surface with Thickness

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• A Fick-Jacobs equation for channels over 3D curves
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• Effective diffusion in the region between two surfaces