The non-linear coupling between lateral diffusion on an interface and the geometry of this interface was studied numerically on a simple one-dimensional model which presented the same kind of non-linearities as fully two-dimensional ones. It was found that small-scale geometry fluctuations influence the diffusion at all scales, including scales much larger than those of the fluctuations. At large enough scales, the diffusion could be approximately described by introducing an effective or renormalized diffusion coefficient. Several theoretical estimates for this coefficient were introduced and compared to the value derived from numerical simulations.

Effective Large-Scale Description of Lateral Diffusions on Fluctuating Interfaces. C.Chevalier, F.Debbasch: Journal of Physics - Conference Series, 2010, 246[1], 012027