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

2007/07/03 by A. C. Barato, Andre C Barato, M. J. de Oliveira +1 · 2 citations
Engineering · Materials Science · Physics and Astronomy · #Fluid Dynamics and Thin Films #Solidification and crystal growth phenomena #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/1751-8113/40/29/001

published as J. Phys. A 40, 8205 (2007) · 15 pages, 7 figures

openalex publication_date 2007/07/03 · arxiv created 2008/03/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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 predict a growing interface with a constant velocity at the moving phase. Also, when detailed balance is fulfilled, the pair mean field becomes the exact solution of the model.

Citations

• The surface statistics of a granular aggregate
• Non-equilibrium critical phenomena and phase transitions into absorbing states

Cited by

• Random deposition of particles of different sizes
• Thin-film growth by random deposition of linear polymers on a square lattice

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