Curvature Dependent Diffusion Flow on Surface with Thickness

Details Curvature Dependent Diffusion Flow on Surface with Thickness Curvature Dependent Diffusion Flow on Surface with Thickness

2009-11-27

arxiv.org/abs/0911.5189v1

Phys. Rev. E81, 061113 (2010)

Physics

Biological Physics

8 pages, 8 figures, Latex

Scientific paper

Particle diffusion in a two dimensional curved surface embedded in $R_3$ is considered. In addition to the usual diffusion flow, we find a new flow with an explicit curvature dependence. New diffusion equation is obtained in $\epsilon$ (thickness of surface) expansion. As an example, the surface of elliptic cylinder is considered, and curvature dependent diffusion coefficient is calculated.

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