Multi-scale diffusion on an interfaceC. Chevalier and F. Debbasch
ERGA-LERMA, Université Paris 6, UMR 8112 - 3 rue Galilée, 94200 Ivry, France
received 26 June 2006; accepted in final form 20 November 2006; published January 2007
published online 17 January 2007
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.
02.40.Ky - Riemannian geometries .
05.10.Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.) .
05.40.Jc - Brownian motion .
© Europhysics Letters Association 2007