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Nonlinear Dynamic Studies Of Pattern-Forming And Biomedical Systems, Doaa Taha
Nonlinear Dynamic Studies Of Pattern-Forming And Biomedical Systems, Doaa Taha
Wayne State University Dissertations
Nonlinear phenomena are ubiquitous in nature and in almost every discipline of science. Various nonlinear dynamic theories are being developed to investigate a wide range of complex nonlinear systems. In this work, we study two types of nonlinear phenomena. The first type involves understanding and controlling the properties and dynamics of two-dimensional (2D) material systems. We develop a binary phase field crystal (PFC) model which simultaneously addresses diffusive dynamics of large-scale systems and resolves material microstructures, and apply the model to the study of two material systems. (1) We use this PFC model to investigate the self assembly of 2D …