Regensburg 2010 – scientific programme

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BP: Fachverband Biologische Physik

BP 18: Anomalous Transport II (joint BP, DY)

BP 18.4: Talk

Wednesday, March 24, 2010, 12:00–12:15, H38

Front propagation in an A+B→2A reaction-subdiffusion system — •Daniela Froemberg and Igor M. Sokolov — Humboldt Universität Berlin

Using the Continuous Time Random Walks approach, we derive reaction-subdiffusion equations for the irreversible autocatalytic A+B→2A reaction, which have an integro-differential form. We show that, in contrast to the case of normal diffusion where a constant minimal velocity of the front is attained, this minimal velocity is zero in the subdiffusive case. This suggests propagation failure. Numerical simulations show that this propagation failure corresponds to a front of a stable form whose velocity decays with time. The asymptotic behavior of this velocity decay can be obtained by a crossover argument.