Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/5082
PIRA download icon_1.1View/Download Full Text
Title: Improved discretization of the Kardar-Parisi-Zhang equation
Authors: Lam, CH 
Shin, FG
Issue Date: Nov-1998
Source: Physical review. E, Statistical, nonlinear, and soft matter physics, Nov. 1998, v. 58, no. 5, p. 5592–5595
Abstract: We propose a spatial discretization of the Kardar-Parisi-Zhang (KPZ) equation in 1+1 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.
Keywords: Diffusion
Fractals
Partial differential equations
Probability
Publisher: American Physical Society
Journal: Physical review. E, Statistical, nonlinear, and soft matter physics 
ISSN: 1539-3755
EISSN: 1550-2376
DOI: 10.1103/PhysRevE.58.5592
Rights: Physical Review E © 1998 The American Physical Society. The Journal's web site is located at http://pre.aps.org/
Appears in Collections:Journal/Magazine Article

Files in This Item:
File Description SizeFormat 
Lam_Discretization_Kardar-Parisi-Zhang_Equation.pdf103.88 kBAdobe PDFView/Open
Open Access Information
Status open access
File Version Version of Record
Access
View full-text via PolyU eLinks SFX Query
Show full item record

Page views

132
Last Week
0
Last month
Citations as of Mar 24, 2024

Downloads

229
Citations as of Mar 24, 2024

SCOPUSTM   
Citations

60
Last Week
0
Last month
1
Citations as of Mar 28, 2024

WEB OF SCIENCETM
Citations

58
Last Week
1
Last month
1
Citations as of Mar 28, 2024

Google ScholarTM

Check

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.