Internal Fluctuations Effects on Fisher Waves
Statistical Mechanics
2009-11-07 v2
Abstract
We study the diffusion-limited reaction A + A <-> A in different spatial dimensions to observe the effect of internal fluctuations on the interface between stable and unstable phases. We find that, similar to what has been observed in d=1 dimensions, internal fluctuations modify the mean-field behavior predictions for this process, which is given by Fisher's reaction-diffusion equation. In d > 1 the front displays local fluctuations perpendicular to the direction of motion which, with a proper definition of the interface, can be fully described within the Kardar-Parisi-Zhang (KPZ) universality class. This clarifies the apparent discrepancies with KPZ predictions reported recently.
Cite
@article{arxiv.cond-mat/0105044,
title = {Internal Fluctuations Effects on Fisher Waves},
author = {Esteban Moro},
journal= {arXiv preprint arXiv:cond-mat/0105044},
year = {2009}
}
Comments
5 pages, 5 figures