Anomaly in Numerical Integrations of the KPZ Equation and Improved Discretization

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dc.creatorLam, Chi-Hang
dc.creatorShin, F. G.
dc.date1997-09-01
dc.date.accessioned2026-07-07T09:12:06Z
dc.date.available2026-07-07T09:12:06Z
dc.descriptionWe demonstrate and explain that conventional finite difference schemes for direct numerical integration do not approximate the continuum Kardar-Parisi-Zhang (KPZ) equation due to microscopic roughness. The effective diffusion coefficient is found to be inconsistent with the nominal one. We propose a novel discretization in 1+1 dimensions which does not suffer from this deficiency and elucidates the reliability and limitations of direct integration approaches.
dc.description14 pages, 3 figures, RevTex
dc.identifierhttps://arxiv.org/abs/cond-mat/9709008
dc.identifierhttp://arxiv.org/abs/cond-mat/9709008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151909
dc.subjectStatistical Mechanics
dc.titleAnomaly in Numerical Integrations of the KPZ Equation and Improved Discretization
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