Pattern formation in reaction diffusion systems and ion bombardment of surfaces
Date
2017
Authors
Hashmi, Bahaudin A., author
Shipman, Patrick D., advisor
Liu, Jiangguo, advisor
Thompson, Stephen, committee member
Bates, Daniel J., committee member
Journal Title
Journal ISSN
Volume Title
Abstract
We have analyzed pattern formation in two different systems: (1) Vapor-to-particle reaction diffusion systems and (2) Highly ordered square arrays in ion bombardment. The vapor-to-particle reaction exhibits oscillatory behavior and produces a spatial pattern called Liesegang rings. In this thesis, we develop a finite element scheme to model the hydrogen chloride and ammonia vapor-to-particle reaction. In our simulations, we develop parametric regions for different patterns and corroborate data obtained from experiments of this reaction. For the ion bombardment of a planar surface, we add the Ehrlich-Schwoebel barrier terms to the Bradley-Shipman equations of motion and see the impact of ion bombardment at normal incidence on a binary crystalline material. A weakly nonlinear stability analysis was conducted and regions were determined where highly ordered square pyramids formed.
Description
Rights Access
Subject
ion bombardment
threshold kinetics
nucleation and growth
finite element methods