Stochastic effects at ripple formation processes in anisotropic systems with multiplicative noise
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.
- Publication:
-
Physical Review E
- Pub Date:
- December 2010
- DOI:
- 10.1103/PhysRevE.82.061108
- arXiv:
- arXiv:1005.2313
- Bibcode:
- 2010PhRvE..82f1108K
- Keywords:
-
- 05.40.-a;
- 79.20.Rf;
- 68.35.Ct;
- 64.60.al;
- Fluctuation phenomena random processes noise and Brownian motion;
- Atomic molecular and ion beam impact and interactions with surfaces;
- Interface structure and roughness;
- Fractal and multifractal systems;
- Condensed Matter - Statistical Mechanics
- E-Print:
- Phys. Rev. E, 82, 061108 (2010)