Volume 77, Number 2, January 2007
|Number of page(s)||5|
|Published online||17 January 2007|
Multi-scale diffusion on an interface
ERGA-LERMA, Université Paris 6, UMR 8112 - 3 rue Galilée, 94200 Ivry, France
Accepted: 20 November 2006
We investigate how small scale metric fluctuations on a 2D interface influence large scale lateral diffusion. We find that the effect of these fluctuations can be cumulative and grow exponentially with time; we also estimate the typical time after which the predictions of a model that ignores the small scale fluctuations substantially differ from the predictions of a more realistic model, which takes those fluctuations into account.
PACS: 02.40.Ky – Riemannian geometries / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 05.40.Jc – Brownian motion
© Europhysics Letters Association, 2007
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