Surface morphology coarsening in a nonlocal system
Pattern Formation and Solitons
2015-02-24 v1 Mesoscale and Nanoscale Physics
Materials Science
Statistical Mechanics
Abstract
Direct comparison is made of the steady-sates and coarsening dynamics in a local system and its nonlocal generalization. The example system is the surface of a solid film in a strong electric field; the morphological evolution of the surface is described, in the long-wavelength approximation, by the amplitude PDE for the film height function. It is shown that the amplitude of the steady-state and the coarsening rate of the surface structure are very sensitive to the radius of the long-range interaction, and that both quantities increase as the radius decreases.
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@article{arxiv.1502.06156,
title = {Surface morphology coarsening in a nonlocal system},
author = {Mikhail Khenner},
journal= {arXiv preprint arXiv:1502.06156},
year = {2015}
}
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