Emergence of pulled fronts in fermionic microscopic particle models
Statistical Mechanics
2009-11-10 v1 Soft Condensed Matter
Abstract
We study the emergence and dynamics of pulled fronts described by the Fisher-Kolmogorov-Petrovsky-Piscounov (FKPP) equation in the microscopic reaction-diffusion process A + A <-> A$ on the lattice when only a particle is allowed per site. To this end we identify the parameter that controls the strength of internal fluctuations in this model, namely, the number of particles per correlated volume. When internal fluctuations are suppressed, we explictly see the matching between the deterministic FKPP description and the microscopic particle model.
Keywords
Cite
@article{arxiv.cond-mat/0307378,
title = {Emergence of pulled fronts in fermionic microscopic particle models},
author = {Esteban Moro},
journal= {arXiv preprint arXiv:cond-mat/0307378},
year = {2009}
}
Comments
4 pages, 4 figures. Accepted for publication in Phys. Rev. E as a Rapid Communication