Stochastic effects at ripple formation processes in anisotropic systems with multiplicative noise
Statistical Mechanics
2015-05-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1005.2313,
title = {Stochastic effects at ripple formation processes in anisotropic systems with multiplicative noise},
author = {D. O. Kharchenko and V. O. Kharchenko and I. O. Lysenko and S. V. Kokhan},
journal= {arXiv preprint arXiv:1005.2313},
year = {2015}
}