Pattern formation in reaction diffusion systems and ion bombardment of surfaces
| dc.contributor.author | Hashmi, Bahaudin A., author | |
| dc.contributor.author | Shipman, Patrick D., advisor | |
| dc.contributor.author | Liu, Jiangguo, advisor | |
| dc.contributor.author | Thompson, Stephen, committee member | |
| dc.contributor.author | Bates, Daniel J., committee member | |
| dc.date.accessioned | 2017-09-14T16:05:31Z | |
| dc.date.available | 2017-09-14T16:05:31Z | |
| dc.date.issued | 2017 | |
| dc.description.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. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Hashmi_colostate_0053A_14338.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/183970 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2000-2019 | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | ion bombardment | |
| dc.subject | threshold kinetics | |
| dc.subject | nucleation and growth | |
| dc.subject | finite element methods | |
| dc.title | Pattern formation in reaction diffusion systems and ion bombardment of surfaces | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- Hashmi_colostate_0053A_14338.pdf
- Size:
- 5.98 MB
- Format:
- Adobe Portable Document Format