| Issue |
EPL
Volume 77, Number 2, January 2007
|
|
|---|---|---|
| Article Number | 20005 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/77/20005 | |
| Published online | 17 January 2007 | |
Multi-scale diffusion on an interface
ERGA-LERMA, Université Paris 6, UMR 8112 - 3 rue Galilée, 94200 Ivry, France
Received:
26
June
2006
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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