Berlin 2008 – wissenschaftliches Programm

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CPP: Fachverband Chemische Physik und Polymerphysik

CPP 8: POSTERS Dynamics and Diffusion

CPP 8.20: Poster

Montag, 25. Februar 2008, 16:45–19:00, Poster A

Travelling Fronts in an A+B -> 2A Reaction under Subdiffusion — •Daniela Froemberg and Igor M. Sokolov — Humboldt University, Berlin

Using the continuous time random walks approach, we derive the analog of the Fisher-Kolmogorov-Petrovskii-Piskunov equation for subdiffusion, having a form of an integro-differential equation. In contrast to the normal F-KPP equation, the reaction introduces a nonlinearity into the transport term which in addition contains a fractional derivative. We show that the subdiffusive F-KPP equation includes the normal equation as a limiting case. Linearizing the equation in the leading edge of the traveling front we obtain the velocity of the front and investigate its dependence on the subdiffusion parameter alpha, the generalized diffusion coefficient, and the local reaction rate coefficient.