Publication: Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion
Issued Date
2005-04-01
Resource Type
ISSN
08957177
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2-s2.0-23744487460
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Mahidol University
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SCOPUS
Bibliographic Citation
Mathematical and Computer Modelling. Vol.41, No.8-9 (2005), 939-964
Suggested Citation
A. Pansuwan, C. Rattanakul, Y. Lenbury, D. J. Wollkind, L. Harrison, I. Rajapakse, K. Cooper Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion. Mathematical and Computer Modelling. Vol.41, No.8-9 (2005), 939-964. doi:10.1016/j.mcm.2004.07.014 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/16471
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Title
Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion
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Abstract
The development of spontaneous stationary equilibrium patterns on metallic or semiconductor solid surfaces during ion-sputtered erosion at normal incidence is investigated by means of various weakly nonlinear stability analyses applied to the appropriate governing equation for this phenomenon. In particular, that process can be represented by a damped Kuramoto-Sivashinsky nonlinear partial differential time-evolution equation for the interfacial deviation from a planar surface which includes a deterministic ion-bombardment arrival term and is defined on an unbounded spatial domain. The etching of coherent ripples, rhombic arrays of rectangular mounds or pits, and hexagonal lattices of nanoscale quantum dots or holes during this erosion process is based upon the interplay between roughening caused by ion sputtering and smoothing due to surface diffusion. Then, the theoretical predictions from these analyses are compared with both relevant experimental evidence and numerical simulations as well as placed in the context of some recent pattern formation studies. © 2005 Elsevier Ltd. All rights reserved.