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Open Access Dissertation
Doctor of Philosophy (PhD)
Year Degree Awarded
Month Degree Awarded
Gregory M. Grason
Condensed Matter Physics | Statistical, Nonlinear, and Soft Matter Physics
In this dissertation we study the emergent patterns of multi-dislocation ground states in two geometrically related classes of frustrated assemblies, twisted filament bundles and crystalline spherical cap. We discuss the fundamental role played by characteristic patterns of dislocations in restructuring the ordered phase of theses geometrically frustrated systems in the presence of external stresses. Our analysis on the formation of grain boundary scars leads to universal predictions for the features of defect patterns and their underlying energetic principles.
Azadi, Amir, "Emergent Structure of Multi-Dislocation Ground States in Frustrated Assemblies" (2015). Doctoral Dissertations. 439.