Abstract
We demonstrate that conventional finite difference schemes for direct numerical integration do not approximate the continuum Kardar-Parisi-Zhang equation. The effective diffusion coefficient is found to be inconsistent with the nominal one. This is explained by the existence of microscopic roughness in the resulting surfaces.
- Received 20 January 1998
DOI:https://doi.org/10.1103/PhysRevE.57.6506
©1998 American Physical Society