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.
| Original language | English |
|---|---|
| Pages (from-to) | 6506-6511 |
| Number of pages | 6 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 57 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jan 1998 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics