Superfast front propagation in reactive systems with anomalous diffusion

Details Superfast front propagation in reactive systems with anomalous diffusion Superfast front propagation in reactive systems with anomalous diffusion

2002-05-08

arxiv.org/abs/nlin/0205016v1

Europhys. Lett. 60 (2002) 532

Nonlinear Sciences

Cellular Automata and Lattice Gases

4 pages and 4 figures

Scientific paper

10.1209/epl/i2002-00251-7

We study a reaction diffusion system where we consider a non-gaussian process instead of a standard diffusion. If the process increments follow a probability distribution with tails approaching to zero faster than a power law, the usual qualitative behaviours of the standard reaction diffusion system, i.e., exponential tails for the reacting field and a constant front speed, are recovered. On the contrary if the process has power law tails, also the reacting field shows power law tail and the front speed increases exponentially with time. The comparison with other reaction-transport systems which exhibit anomalous diffusion shows that, not only the presence of anomalous diffusion, but also the detailed mechanism, is relevant for the front propagation.

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