Nonlinear Bias and the Convective Fisher Equation
Condensed Matter
2015-06-25 v1
Abstract
We combine random walks, growth and decay, and convection, in a Monte Carlo simulation to model 1D interface dynamics with fluctuations. The continuum limit corresponds to the deterministic Fisher equation with convection. We find qualitatively the same type of asymmetry, as well as velocity difference, for interface profiles moving in opposite directions. However a transition apparent in the mean-field (continuum) limit is not found in the Monte Carlo simulation.
Keywords
Cite
@article{arxiv.cond-mat/9403025,
title = {Nonlinear Bias and the Convective Fisher Equation},
author = {Oliver Schönborn and Rashmi C. Desai and Dietrich Stauffer},
journal= {arXiv preprint arXiv:cond-mat/9403025},
year = {2015}
}
Comments
2.5 pages (texed) with 4 postscript figures, TeX 3.14t3