Anomaly in numerical integrations of the Kardar-Parisi-Zhang equation

Chi-Hang Lam and F. G. Shin
Phys. Rev. E 57, 6506 – Published 1 June 1998
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Abstract

We demonstrate that conventional finite difference schemes for direct numerical integration do not approximate the continuum Kardar-Parisi-Zhang equation. The effective diffusion coefficient is found to be inconsistent with the nominal one. This is explained by the existence of microscopic roughness in the resulting surfaces.

  • Received 20 January 1998

DOI:https://doi.org/10.1103/PhysRevE.57.6506

©1998 American Physical Society

Authors & Affiliations

Chi-Hang Lam and F. G. Shin

  • Department of Applied Physics, Hong Kong Polytechnic University, Hung Hom, Hong Kong

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Issue

Vol. 57, Iss. 6 — June 1998

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