PMID: 11308907Apr 20, 2001Paper

Pseudospectral approach to inverse problems in interface dynamics

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Giacometti, M Rossi

Abstract

An improved scheme for computing coupling parameters of the Kardar-Parisi-Zhang equation from a collection of successive interface profiles is presented. The approach hinges on a spectral representation of this equation. An appropriate discretization based on a Fourier representation is discussed as a by-product of the above scheme. Our method is first tested on profiles generated by a one-dimensional Kardar-Parisi-Zhang equation, where it is shown to reproduce the input parameters very accurately. When applied to microscopic models of growth, it provides the values of the coupling parameters associated with the corresponding continuum equations. This technique compares favorably with previous methods based on real space schemes.

References

Dec 1, 1986·Physical Review A: General Physics·P MeakinR C Ball
Feb 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·F HayotC Josserand
Mar 3, 1986·Physical Review Letters·M KardarY C Zhang
Jul 26, 1993·Physical Review Letters·C H Lam, L M Sander
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·A Giacometti, M Rossi

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Citations

Dec 20, 2003·Physical Review Letters·G R JafariG Kavei
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lorenzo GiadaMaurice Rossi
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vladimir G Miranda, Fábio D A Aarão Reis
Nov 28, 2019·Physical Review. E·I S S Carrasco, T J Oliveira
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H S WioM S de La Lama
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rafael GallegoJuan M López
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R C Buceta

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