Analysis of a Partial Differential Equation Model of Surface Electromigration

<p>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 <em>h</em>(<em>x</em>,<em>t</em>) of the film in the horizontal electric field, followed by the results of the linear stability analyses and computations of fully nonlinear evolution equation.<em></em></p>

Name thesis:degree_name

Master of Science

Discipline thesis:degree_discipline

Department of Mathematics

Year

2014

Author dc:creator

• Cinar, Selahittin

Contributors dc:contributor

• Mikhail Khenner (Director), Mark Robinson, Richard Schugart

• Differential Equations-Partial
• Electrodiffusion
• Numerical Analysis
• Applied Mathematics
• Numerical Analysis and Computation
• Partial Differential Equations
• Physics

Repository record dc:identifier

https://digitalcommons.wku.edu/theses/1368

OAI identifier oai:identifier

oai:digitalcommons.wku.edu:theses-2371