Curvature Dependent Diffusion Flow on Surface with Thickness

Abstract

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.

8 pages, 8 figures, Latex

References in corpus (3)

• Lateral diffusion of a protein on a fluctuating membrane
• Diffusion on Ruffled Membrane Surfaces
• Spatial curvature effects on molecular transport by diffusion

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