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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/
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