NONLINEAR BIAS AND THE CONVECTIVE FISHER EQUATION

Authors
SCHONBORN O DESAI RC STAUFFER D
Citation
O. Schonborn et al., NONLINEAR BIAS AND THE CONVECTIVE FISHER EQUATION, Journal of physics. A, mathematical and general, 27(9), 1994, pp. 120000251-120000255
Citations number
6
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
9
Year of publication
1994
Pages
120000251 - 120000255
Database
ISI
SICI code
0305-4470(1994)27:9<120000251:NBATCF>2.0.ZU;2-V
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 dir ections. However, a transition apparent in the mean-field (continuum) limit is not found in the Monte Carlo simulation.