2001/12/31 by Lorenzo Giada, Achille Giacometti, Maurice Rossi
Materials Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.65.036134
published as Phys. Rev. E 65, 036134 (2002) · 12 pages, 13 .eps figures, revetx4. A few equations have been corrected. Erratum sent to Phys. Rev. E
openalex publication_date 2002/03/05 · arxiv created 2002/05/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.