Diffusion in a curved tube

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...

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Bibliographic Details
Published inPhysics letters. A Vol. 377; no. 38; pp. 2465 - 2471
Main Author Ogawa, Naohisa
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.11.2013
Subjects
Confining
Curvature
Diffusion
Torsion
Tube
Tube
Diffusion
Curvature
Torsion
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Summary: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 geometrical quantities appear in a quasi-one-dimensional diffusion equation. •Quasi-one-dimensional diffusion equation with effective diffusion coefficient is constructed for particle diffusion in curved tube.•The physical interpretation is given to the curvature dependent diffusion coefficient.•We proved the rightness of equation without local equilibrium hypothesis.•The mean square displacement is calculated as an expansion by local curvature and its derivatives.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2013.07.054