Island dynamics and the level set method for epitaxial growth
نویسندگان
چکیده
منابع مشابه
Island Dynamics and the Level Set Method for Epitaxial Growth
We adapt the level set method to simulate the growth of thin lms described by the motion of island boundaries. This island dynamics model involves a continuum in the lateral directions, but retains 1 atomic scale discreteness in the growth direction. Several choices for the island boundary velocity are discussed, and computations of the island dynamics model using the level set method are prese...
متن کاملLevel-set method for island dynamics in epitaxial growth
C. Ratsch,* M. F. Gyure, R. E. Caflisch, F. Gibou, M. Petersen, M. Kang, J. Garcia, and D. D. Vvedensky Department of Mathematics, University of California, Los Angeles, California 90095-1555 HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu, California 90265 School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332 ~Received 23 May 2001; revised manuscript received 13 Dece...
متن کاملIsland Dynamics and Level Set Methods for Continuum Modeling of Epitaxial Growth
Molecular Beam Epitaxy is a method for growing atomically thin lms of material. During epitaxial growth, atoms are deposited on a surface, where they hop randomly until attaching at the edges of partially completed atomic monolayers. This process has practical application to the fabrication of high speed semiconductor electronic devices. We have formulated a new model for epitaxial growth, the ...
متن کاملLevel set approach to reversible epitaxial growth.
We generalize the level set approach to model epitaxial growth to include thermal detachment of atoms from island edges. This means that islands do not always grow and island dissociation can occur. We make no assumptions about a critical nucleus. Excellent quantitative agreement is obtained with kinetic Monte Carlo simulations for island densities and island size distributions in the submonola...
متن کاملAnalysis of Island Dynamics in Epitaxial Growth of Thin Films
This work is concerned with analysis and refinement for a class of island dynamics models for epitaxial growth of crystalline thin films. An island dynamics model consists of evolution equations for step edges (or island boundaries), coupled to a diffusion equation for the adatom density, on an epitaxial surface. The island dynamics model with irreversible aggregation is confirmed to be mathema...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1999
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(99)00026-9