Open AccessThe study of two-dimensional growth interface in Kuramoto-Sivashinsky and Karda- Parisi-Zhang models
Author(s) -
Qi Hu,
Lihua Huang,
Jianda Shao,
Fan Zheng-Xiu
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.2743
Subject(s) - exponent , statistical physics , growth model , renormalization group , fractal , scale (ratio) , physics , mathematics , mathematical physics , mathematical analysis , quantum mechanics , philosophy , linguistics , mathematical economics
We have studied the evolution of (2+1)-dimensional surface morphology in the Kur amoto-Sivashinsky (K-S) and Karda-Parisi-Zhang (KPZ) models by using the numeric al simulation approach. The results show that the surface morphology has the sel f-affine fractal properties in both the models and exhibits a cellular structure after long-time growth in K-S model. With numerical correlation, dynamic scalin g characteristics are observed explicitly in both models, and the roughness expo nent, the growth exponent and the dynamic exponent are all obtained. From the si mulation results we suggest that the two models have the different properties in present time and space scale, and are not in the same universality class.