Evidence for the anomalous scaling behaviour of the molecular-beam epitaxy growth equation

doi:10.1088/1674-1056/20/3/036402

Abstract According to the scaling idea of local slope, we investigate numerically and analytically anomalous dynamic scaling behaviour of (1+1)-dimensional growth equation for molecular-beam epitaxy. The growth model includes the linear molecular-beam epitaxy (LMBE) and the nonlinear Lai–Das Sarma–Villain (LDV) equations. The anomalous scaling exponents in both the LMBE and the LDV equations are obtained, respectively. Numerical results are consistent with the corresponding analytical predictions.

Keywords: molecular-beam epitaxy surface growth equation anomalous scaling behaviour

Received: 14 May 2010
Revised: 10 October 2010
Accepted manuscript online:

PACS:	64.60.Ht	(Dynamic critical phenomena)
	05.40.-d
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)

Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2010LKWL04), and the Youth Foundation of China University of Mining & Technology, China (Grant No. 2008A035).

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Tang Gang(唐刚),Xia Hui(夏辉), Hao Da-Peng(郝大鹏),Xun Zhi-Peng(寻之朋), Wen Rong-Ji(温荣吉), and Chen Yu-Ling(陈玉岭) Evidence for the anomalous scaling behaviour of the molecular-beam epitaxy growth equation 2011 Chin. Phys. B 20 036402

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Evidence for the anomalous scaling behaviour of the molecular-beam epitaxy growth equation

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