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Giada L, Giacometti A, Rossi M. Pseudospectral method for the Kardar-Parisi-Zhang equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2002;65(3):036134doi: 10.1103/PhysRevE.65.036134.
Giada, L., Giacometti, A., & Rossi, M. (2002). Pseudospectral method for the Kardar-Parisi-Zhang equation. Physical review. E, Statistical, nonlinear, and soft matter physics, 65(3), 036134. https://doi.org/10.1103/PhysRevE.65.036134
Giada, Lorenzo, et al. "Pseudospectral method for the Kardar-Parisi-Zhang equation." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 65,3 (2002): 036134. doi: https://doi.org/10.1103/PhysRevE.65.036134
Giada L, Giacometti A, Rossi M. Pseudospectral method for the Kardar-Parisi-Zhang equation. Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3):036134. doi: 10.1103/PhysRevE.65.036134. Epub 2002 Mar 05. PMID: 11909192.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3):036134. doi: 10.1103/PhysRevE.65.036134. Epub 2002 Mar 05.

Pseudospectral method for the Kardar-Parisi-Zhang equation.

Physical review. E, Statistical, nonlinear, and soft matter physics

Lorenzo Giada, Achille Giacometti, Maurice Rossi

Affiliations

  1. International School for Advanced Studies (SISSA) and INFM Unità di Trieste, Via Beirut 2-4, Trieste I-34014, Italy. [email protected]

PMID: 11909192 DOI: 10.1103/PhysRevE.65.036134

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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