Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-12-11
Physics
Condensed Matter
Statistical Mechanics
12 pages, 9 figures, revtex 3.0 with epsf style, to appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.63.046102
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 favorably compares with previous methods based on real space schemes.
Giacometti Achille
Rossi Maurice
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