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Controlled instability and multiscaling in models of epitaxial growth

Dasgupta, C and Das Sarma, S and Kim, JM (1996) Controlled instability and multiscaling in models of epitaxial growth. In: Physical Review E, 54 (05). R4552-R4555.

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We show that discretized versions of commonly studied nonlinear growth equations have a generic instability in which isolated pillars (or grooves) on an otherwise flat interface grow in time when their height (or depth) exceeds a critical value. Controlling this instability by the introduction of higher-order nonlinear terms leads io intermittent behavior characterized by multiexponent scaling of height fluctuations, similar to the ''turbulent'' behavior found in recent simulations of one-dimensional atomistic models of epitaxial growth

Item Type: Journal Article
Publication: Physical Review E
Publisher: American Physical Society
Additional Information: Copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 11 Mar 2009 09:25
Last Modified: 19 Sep 2010 05:26
URI: http://eprints.iisc.ac.in/id/eprint/19012

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