Field Theory of Propagating Reaction-Diffusion Fronts
Statistical Mechanics
2009-11-10 v1 Soft Condensed Matter
Abstract
The problem of velocity selection of reaction-diffusion fronts has been widely investigated. While the mean field limit results are well known theoretically, there is a lack of analytic progress in those cases in which fluctuations are to be taken into account. Here, we construct an analytic theory connecting the first principles of the reaction-diffusion process to an effective equation of motion via field-theoretic arguments, and we arrive at the results already confirmed by numerical simulations.
Cite
@article{arxiv.cond-mat/0412751,
title = {Field Theory of Propagating Reaction-Diffusion Fronts},
author = {Carlos Escudero},
journal= {arXiv preprint arXiv:cond-mat/0412751},
year = {2009}
}