PMID: 11909192Mar 23, 2002Paper

Pseudospectral method for the Kardar-Parisi-Zhang equation

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Lorenzo GiadaMaurice Rossi

Abstract

We discuss a numerical scheme to solve the continuum Kardar-Parisi-Zhang equation in generic spatial dimensions. It is based on a momentum-space discretization of the continuum equation and on a pseudospectral approximation of the nonlinear term. The method is tested in (1+1) and (2+1) dimensions, where it is shown to reproduce the current most reliable estimates of the critical exponents based on restricted solid-on-solid simulations. In particular, it allows the computations of various correlation and structure functions with high degree of numerical accuracy. Some deficiencies that are common to all previously used finite-difference schemes are pointed out and the usefulness of the present approach in this respect is discussed.

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Citations

Dec 15, 2010·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Horacio S WioMarta S de la Lama
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Vladimir G Miranda, Fábio D A Aarão Reis
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Adrian KellerRodolfo Cuerno
Oct 14, 2011·Journal of the Royal Society, Interface·R CuernoM A Herrero
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dmitrii O KharchenkoSergei V Kokhan
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matteo NicoliRodolfo Cuerno
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F D A Aarão Reis
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rafael GallegoJuan M López
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matteo NicoliRodolfo Cuerno
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S V Ghaisas
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R C Buceta
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H S WioM S de La Lama

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