Front Propagation and Superdiffusion in Active Media
Vicente Perez-Munuzuri, Alexandra von Kameke, Guillermo Fernández-García
Universidad de Santiago de Compostela
(Abstract received 08/11/2009 for session E)
ABSTRACT
We study the effect of superdiffusion on front propagation in active media, in order to enlighten the principles of plankton spreading in the turbulent ocean. A chaotic velocity field generated by Faraday instabilities was used. Passive particles in this type of flow were shown to undergo Levy flights such that the mean square displacement R^2(t) ~ t^v with v ≠1 (v = 1 indicates Gaussian process). Thus the system exhibits superdiffusion. The formation of a reactive front propagating through the reactor was observed owed to the domination of advection coupling over diffusion coupling. We analyzed the front dynamics with respect to velocity and spreading behaviour and found evidence for non-gaussian diffusion.
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