vix.ing · top · new · best · stats · spec

New cellular automaton designed to simulate epitaxial films growth

2004/06/28 by R. Kosturek, Rafał Kosturek, Krzysztof Malarz +1
Engineering · Mathematics · Physics and Astronomy · #Fluid Dynamics and Thin Films #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.mtrl-sci #nlin.CG

paper · pdf · doi:10.1016/j.physa.2004.08.013

published as Physica A345 (2005) 538 · 10 pages, elsart, 5 figures in 20 files

arxiv created 2004/06/28 · openalex publication_date 2004/09/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper a simple (2+1) solid-on-solid model of the epitaxial films growth based on random deposition followed by breaking particle-particle lateral bonds and particles surface diffusion is introduced. The influence of the critical number of the particle-particle lateral bonds z and the deposition rate on the surface roughness dynamics and possible surface morphology anisotropy is presented. The roughness exponent α and the growth exponent β are (0.863,0.357), (0.215,0.123), (0.101,0.0405) and (0.0718,0.0228) for z=1, 2, 3 and 4, respectively. Snapshots from simulations of the growth process are included.

Related