Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Morphological stability analysis of the epitaxial growth of a circular island

Zhengzheng Hu
Wednesday, May 9, 2007
4:00 pm - 4:50 pm
MSTB 114

Talk Abstract:

After introducing the epitaxial growth of thin films, we shall present the Burton-Cabrera-Frank (BCF) model of the adatom concentration at the nano scale. This widely used semi-discrete model, supplemented with later modifications and extensions, captures many key features (e.g., diffusion, attachment-detachment kinetics, surface diffusion and so on) in epitaxial growth of the thin films. We shall then move on to the stability analysis, which is a powerful tool to understand the behavior of a solution to a nonlinear system. We close by demonstrating how stability results may be exploited to control the shape of a thin film island.

About the Speaker:

Zhengzheng Hu is a fourth-year graduate student here at UCI. She holds a BS degree in Computational Mathematics from Sichuan University in China, and a MS degree in Mathematics from UCI. Zhengzheng's current research includes the shape control of the epitaxially growing circular island during the thin film growth.

Refreshments:

Pizza will be served after the talk.