Kharchenko Dmitrii O, Kharchenko Vasyl O, Lysenko Irina O, Kokhan Sergei V
Institute of Applied Physics, National Academy of Sciences of Ukraine, 58 Petropavlovskaya Street, 40030 Sumy, Ukraine.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Dec;82(6 Pt 1):061108. doi: 10.1103/PhysRevE.82.061108. Epub 2010 Dec 6.
We study pattern formation processes in anisotropic system governed by the Kuramoto-Sivashinsky equation with multiplicative noise as a generalization of the Bradley-Harper model for ripple formation induced by ion bombardment. For both linear and nonlinear systems we study noise-induced effects at ripple formation and discuss scaling behavior of the surface growth and roughness characteristics. It was found that the secondary parameters of the ion beam (beam profile and variations of an incidence angle) can crucially change the topology of patterns and the corresponding dynamics.
我们研究了由具有乘性噪声的Kuramoto-Sivashinsky方程所描述的各向异性系统中的图案形成过程，该方程是离子轰击诱导波纹形成的Bradley-Harper模型的推广。对于线性和非线性系统，我们都研究了波纹形成过程中的噪声诱导效应，并讨论了表面生长和粗糙度特征的标度行为。研究发现，离子束的次级参数（束轮廓和入射角变化）可以显著改变图案的拓扑结构和相应的动力学。
