On the speed of pulled fronts with a cutoff

Details On the speed of pulled fronts with a cutoff On the speed of pulled fronts with a cutoff

2007-02-04

arxiv.org/abs/nlin/0702007v1

Phys. Rev. E 75 (2007) 051106

Nonlinear Sciences

Pattern Formation and Solitons

12 pages no figures

Scientific paper

10.1103/PhysRevE.75.051106

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, and 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 new variables which makes it more suitable for applications.

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