The study of two-dimensional growth interface in Kuramoto-Sivashinsky and Karda-Parisi-Zhang models
Kuramoto-Sivashinsky与Karda-Parisi-Zhang模型中生长界面分形特性研究

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.