Speed of pulled fronts with a cutoff

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Speed of pulled fronts with a cutoff.

We study the effect of a small cutoff epsilon on the velocity of a pulled front in one dimension by means of a variational principle. We obtain a lower bound on the speed dependent on the cutoff, for which the two leading order terms correspond to the Brunet-Derrida expression. To do so we cast a known variational principle for the speed of propagation of fronts in different variables which mak...

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Fronts with a growth cutoff but with speed higher than the linear spreading speed.

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2007

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.75.051106