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http://hdl.handle.net/10397/5395
| Title: | Anomaly in numerical integrations of the Kardar-Parisi-Zhang equation | Authors: | Lam, CH Shi, FG |
Issue Date: | Jun-1998 | Source: | Physical review. E, Statistical, nonlinear, and soft matter physics, June 1998, v. 57, no. 6, p. 6506-6511 | 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. | Keywords: | Finite difference methods Integration Phase transformations Surface diffusion |
Publisher: | American Physical Society | Journal: | Physical review. E, Statistical, nonlinear, and soft matter physics | ISSN: | 1539-3755 | EISSN: | 1550-2376 | DOI: | 10.1103/PhysRevE.57.6506 | 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 |
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|---|---|---|---|---|
| Lam_Anomaly_Numerical_Kardar-Parisi-Zhang.pdf | 131.87 kB | Adobe PDF | View/Open |
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