Generic equations for pattern formation in evolving interfaces

Details Generic equations for pattern formation in evolving interfaces Generic equations for pattern formation in evolving interfaces

2007-05-10

arxiv.org/abs/0705.1488v1

New Journal of Physics. Vol 9. 102. (2007)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1088/1367-2630/9/4/102

We present a general formalism which allows us to derive the evolution equations describing one-dimensional (1D) and isotropic 2D interfacelike 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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