The influence of electric fields on nanostructures—Simulation and control

Frank Haußer, Sandra Rasche and Axel Voigt

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 80, issue 7, 1449-1457

Abstract: Macroscopic electric fields may be used to influence or even control the shape evolution of single layer islands on a crystalline surface. We validate a phase-field approach to simulate such shape evolutions by comparison with simulations based on a sharp interface approach. The phase-field model is then used to formulate and discretize the control problem of finding an electric field which drives an island to a predefined shape. Some first results of this approach are presented.

Keywords: Optimal control of free boundary problems; Cahn–Hilliard equation; Adaptive finite elements; Electromigration; Surface evolution (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2010:i:7:p:1449-1457

DOI: 10.1016/j.matcom.2009.05.009

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