Lam, Chi-Hang; Sander, Leonard M.; Wolf, Dietrich:
Surface Growth with Temporally Correlated Noise
In: Fractals : Complex Geometry, Patterns, and Scaling in Nature and Society, Vol. 1 (1993), No. 1, pp. 1 - 9
1993article/chapter in journal
Physics (incl. Astronomy)
Related: 1 publication(s)
Title in English:
Surface Growth with Temporally Correlated Noise
Author:
Lam, Chi-Hang;Sander, Leonard M.;Wolf, DietrichUDE
GND
1273280393
LSF ID
1114
Other
connected with university
Year of publication:
1993
Language of text:
English
Appears in
Fractals : Complex Geometry, Patterns, and Scaling in Nature and Society
Place of publication:
London
Publisher:
World Scientific Publishing
in:
Vol. 1 (1993), No. 1, pp. 1 - 9
ISSN
0218-348X Show availability online & print
ISSN
1793-6543 Show availability online & print
ZDB ID
2006095-6

Abstract:

We simulate ballistic deposition with long range temporally correlated noise of bounded amplitude in 1 + 1 dimension. Good agreement with the dynamical renormalization group calculation of Medina et al. is obtained for the scaling exponents when the noise is generated by a version of Mandelbrot's fast fractional Gaussian noise (ffGn) generator. However, using either the original ffGn or a chaotic map generator, other exponents are obtained. We suggest that this difference is due to an extraordinarily slow crossover caused by the existence of an anomalous growth mode incompatible with the KPZ equation. This may have implications on similar model dependent results for recent simulations on growth with power-law noise and spatially correlated noise.