Phase-field model for island dynamics in epitaxial growth

Abstract

A phase-field model is proposed to describe epitaxial growth. In this model the motion of island boundaries of discrete atomic layers is determined by the time evolution of an introduced phase-field variable. We use formally matched asymptotic expansion to determine the asymptotic limit of vanishing interfacial thickness and show the reduction to classical sharp interface models of Burton–Cabrera–Frank type.

Keywords:

• Epitaxial growth
• Island dynamics
• Phase-field
• Asymptotic analysis
• AMS Mathematics Subject Classifications: 35R35 35Q99
• 80A22
• 80M35

Notes

E-mail: [email protected]

Additional information

Notes on contributors

Axel Voigt

E-mail: [email protected]