Evolution equation for a thin epitaxial film on a deformable substrate

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Title: Evolution equation for a thin epitaxial film on a deformable substrate
Author: Tekalign, Wondimu; Spencer, Brian
Abstract: We consider a continuum model for the evolution of an epitaxially strained dislocation-free thin solid film on a deformable substrate in the absence of vapor deposition. By using a thin-film approximation we derived a nonlinear evolution equation. We examined the nonlinear evolution equation and found that there is a critical film thickness below which every film thickness is stable and a critical wave number above which every film thickness is stable. Preliminary numerical results indicate that the equation possesses island-like steady state solutions.
Description: Copyright 2004 American Institute of Physics. All Rights Reserved. This article may be found on the publisher's website (additional fees may apply) at: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JAPIAU000096000010005505000001&idtype=cvips&gifs=yes
Record URI: http://hdl.handle.net/1850/5110
Date: 2004-11-15

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