Publication Date

5-2014

Advisor(s) - Committee Chair

Mikhail Khenner (Director), Mark Robinson, Richard Schugart

Degree Program

Department of Mathematics

Degree Type

Master of Science

Abstract

A Partial Differential Equation (PDE) based model combining surface electromigration and wetting is developed for the analysis of the morphological instability of mono-crystalline metal films in a high temperature environment typical to operational conditions of microelectronic interconnects. The atomic mobility and surface energy of such films are anisotropic, and the model accounts for these material properties. The goal of modeling is to describe and understand the time-evolution of the shape of film surface. I will present the formulation of a nonlinear parabolic PDE problem for the height function h(x,t) of the film in the horizontal electric field, followed by the results of the linear stability analyses and computations of fully nonlinear evolution equation.

Disciplines

Applied Mathematics | Numerical Analysis and Computation | Partial Differential Equations | Physics

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