Improved discretization of the Kardar-Parisi-Zhang equation

Chi Hang Lam, F. G. Shin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

49 Citations (Scopus)

Abstract

We propose a spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation in [Formula Presented] dimensions. The exact steady state probability distribution of the resulting discrete surfaces is explained. The effective diffusion coefficient, nonlinearity, and noise strength can be extracted from three correlators, and are shown to agree exactly with the nominal values used in the discrete equations. Implications on the conventional method for direct numerical integration of the KPZ equation are discussed.
Original languageEnglish
Pages (from-to)5592-5595
Number of pages4
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume58
Issue number5
DOIs
Publication statusPublished - 1 Jan 1998

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this