On the speed of pulled fronts with a cutoff
Pattern Formation and Solitons
2015-04-28 v1 Statistical Mechanics
Abstract
We study the effect of a small cutoff 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.
Cite
@article{arxiv.nlin/0702007,
title = {On the speed of pulled fronts with a cutoff},
author = {R. D. Benguria and M. C. Depassier},
journal= {arXiv preprint arXiv:nlin/0702007},
year = {2015}
}
Comments
12 pages no figures