Diffusion in a Curved Tube
Mathematical Physics
2015-05-30 v5 math.MP
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.
Cite
@article{arxiv.1109.0590,
title = {Diffusion in a Curved Tube},
author = {Naohisa Ogawa},
journal= {arXiv preprint arXiv:1109.0590},
year = {2015}
}
Comments
8pages, 6 figures