ANOMALY IN NUMERICAL INTEGRATIONS OF THE KARDAR-PARISI-ZHANG EQUATION

Authors
LAM CH SHIN FG
Citation
Ch. Lam et Fg. Shin, ANOMALY IN NUMERICAL INTEGRATIONS OF THE KARDAR-PARISI-ZHANG EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(6), 1998, pp. 6506-6511
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
6
Year of publication
1998
Pages
6506 - 6511
Database
ISI
SICI code
1063-651X(1998)57:6<6506:AINIOT>2.0.ZU;2-R
Abstract
We demonstrate that conventional finite difference schemes for direct numerical integration do not approximate the continuum Kardar-Parisi-Z hang equation. The effective diffusion coefficient is found to be inco nsistent with the nominal one. This is explained by the existence of m icroscopic roughness in the resulting surfaces.