Diffusion equation on curved surfaces. I. Theory and application to biological membranes

Jordi Faraudo

Research output: Contribution to journalArticleResearchpeer-review

34 Citations (Scopus)

Abstract

The effect of local curvature on the diffusion of a substance over a curved surface was discussed. These effects were characterized by the geodesic curvature kg(r) or by the Gaussian curvature K(r). The perturbations of the mean square geodesic distance traveled by a diffusing molecule on the surface and the probability distribution were presented as a function of the surface curvature. The correlations in the curvature were relevant to understand the lateral diffusion on biomembranes.
Original languageEnglish
Pages (from-to)5831-5841
JournalJournal of Chemical Physics
Volume116
DOIs
Publication statusPublished - 1 Apr 2002

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