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arXiv · 0803.3315

Mean-field approximations for the restricted solid-on-solid growth models

A. C. Barato·M. J. de Oliveira
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Abstract

We study models for surface growth with a wetting and a roughening transition using simple and pair mean-field approximations. The simple mean-field equations are solved exactly and they predict the roughening transition and the correct growth exponents in a region of the phase diagram. The pair mean-field equations, which are solved numerically, show a better accordance with numerical simulation and correctly predicts a growing interface with constant velocity at the moving phase. Also, when detailed balance is fulfilled, the pair mean field becomes the exact solution of the model.

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A. C. Barato, M. J. de Oliveira. 2008-03-23. Mean-field approximations for the restricted solid-on-solid growth models. https://doi.org/10.1088/1751-8113/40/29/001

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