IMPROVED DISCRETIZATION OF THE KARDAR-PARISI-ZHANG EQUATION

Authors
LAM CH SHIN FG
Citation
Ch. Lam et Fg. Shin, IMPROVED DISCRETIZATION OF THE KARDAR-PARISI-ZHANG EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 5592-5595
Citations number
21
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
58
Issue
5
Year of publication
1998
Part
A
Pages
5592 - 5595
Database
ISI
SICI code
1063-651X(1998)58:5<5592:IDOTKE>2.0.ZU;2-T
Abstract
We propose a spatial discretization of the Kardar-Parisi-Zhang (KPZ) e quation in 1 + 1 dimensions. The exact steady state probability distri bution of the resulting discrete surfaces is explained. The effective diffusion coefficient, nonlinearity, and noise strength can be extract ed from three correlators, and are shown to agree exactly with the nom inal values used in the discrete equations. Implications on the conven tional method for direct numerical integration of the KPZ equation are discussed. [S1063-651X(98)15011-0].