Publication Date
8-2014
Advisor(s) - Committee Chair
Mikhail Khenner (Director), Nezam Iraniparast, Lan Nguyen
Degree Program
Department of Mathematics
Degree Type
Master of Science
Abstract
In this thesis a model involving two coupled nonlinear PDEs is developed to study instability of a two-component metal film due to horizontal electric field and in a high-temperature environment similar to operational conditions of integrated circuits. The proposed model assumes the anisotropies of the diffusional mobilities for two atomic species, and negligible stresses in the film. The purpose of the modeling is to describe and understand the time-evolution of the shape of the film surface. Toward this end, the linear stability analysis (LSA) of the initially planar film surface with respect to small shape perturbations is performed. Such characteristics of the instability as the perturbation growth rate omega and the cut-off wave number are studied as functions of key physical parameters.
Disciplines
Applied Mathematics | Dynamic Systems
Recommended Citation
Bandegi, Mahdi, "A Coupled PDE Model for the Morphological Instability of a Multi-Component Thin Film During Surface Electromigration" (2014). Masters Theses & Specialist Projects. Paper 1386.
https://digitalcommons.wku.edu/theses/1386