Publication:
Generic equations for pattern formation in evolving interfaces

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URI: https://hdl.handle.net/10016/6865
ISSN: 1367-2630
DOI: https://www.doi.org/10.1088/1367-2630/9/4/102
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generic_cuerno_njp_2007.pdf (266.23 KB)
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2007-04
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IOP Publishing
Deutsche Physikalische Gesellschaft
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Abstract
We present a general formalism which allows us to derive the evolution equations describing one-dimensional (1D) and isotropic 2D interface-like systems, that is based on symmetries, conservation laws, multiple scale arguments, and exploits the relevance of coarsening dynamics. Our approach becomes especially significant in the presence of surface morphological instabilities and allows us to classify the most relevant nonlinear terms in the continuum description of these systems. The formalism applies to systems ranging from eroded nanostructures to macroscopic pattern formation. In particular, we show the validity of the theory for novel experiments on ion plasma erosion.
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12 pages, 2 figures.-- PACS nrs.: 68.35.B-, 68.08.-p.-- ArXiv pre-print available at: http://arxiv.org/abs/0705.1488
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[PACS] Structure of clean surfaces (and surface reconstruction), [PACS] Liquid-solid interfaces, Soft matter, liquids and polymers, Surfaces, interfaces and thin films
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New Journal of Physics 9, 102 (2007)
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