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Full-Text Articles in Condensed Matter Physics

Nonlinear Dynamic Studies Of Pattern-Forming And Biomedical Systems, Doaa Taha Jan 2017

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 …


Harmonic Sputtering Theory, Zhu Lin Zhang Jan 2010

Harmonic Sputtering Theory, Zhu Lin Zhang

Wayne State University Dissertations

ABSTRACT

HARMONIC SPUTTERING THEORY

By

ZHU LIN ZHANG

February 2010

Advisor: Dr. Karur R. Padmanabhan

Major: Physics

Degree: Doctor of Philosophy

Based on the standard Botzmann equation in Classical Statistics Mechanics, we have derived a variety of Linear Transport Equations appeared in Sputtering Theory for a random, infinite multi-components medium. The pertinent relations among these Linear Transport Equations have been studied in detail. We have introduced exact classical scattering cross-sections of power potential interaction collision into these Transport Equations and solved them asymptotically by using Laplace Transformation for both isotropic term and anisotropic term. A pool of analytical asymptotic solutions …