Pattern formation in reaction diffusion systems and ion bombardment of surfaces
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 ...
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Hashmi, Bahaudin A.
Shipman, Patrick D.; Liu, Jiangguo