Anomaly in Numerical Integrations of the KPZ Equation and Improved Discretization
Statistical Mechanics
2008-02-03 v1
Abstract
We demonstrate and explain that conventional finite difference schemes for direct numerical integration do not approximate the continuum Kardar-Parisi-Zhang (KPZ) equation due to microscopic roughness. The effective diffusion coefficient is found to be inconsistent with the nominal one. We propose a novel discretization in 1+1 dimensions which does not suffer from this deficiency and elucidates the reliability and limitations of direct integration approaches.
Keywords
Cite
@article{arxiv.cond-mat/9709008,
title = {Anomaly in Numerical Integrations of the KPZ Equation and Improved Discretization},
author = {Chi-Hang Lam and F. G. Shin},
journal= {arXiv preprint arXiv:cond-mat/9709008},
year = {2008}
}
Comments
14 pages, 3 figures, RevTex