Bifractality in the one-dimensional Wolf-Villain model

被引：1

作者：

Luis, Edwin E. Mozo ^{[1
]}

Ferreira, Silvio C. ^{[2
,3
]}

de Assis, Thiago A. ^{[1
,4
]}

机构：

[1] Univ Fed Fluminense, Inst Fis, Ave Litoranea S-N, BR-24210340 Niteroi, RJ, Brazil

[2] Univ Fed Vicosa, Dept Fis, BR-36570900 Vicosa, MG, Brazil

[3] Natl Inst Sci & Technol Complex Syst, BR-22290180 Rio De Janeiro, Brazil

[4] Univ Fed Bahia, Inst Fis, Campus Univ Federacao,Rua Barao Jeremoabo S-N, BR-40170115 Salvador, BA, Brazil

来源：

PHYSICAL REVIEW E | 2024年 / 110卷 / 01期

关键词：

CRITICAL EXPONENTS; GROWTH-MODELS; DAS-SARMA; UNIVERSALITY; TAMBORENEA; MORPHOLOGY; CONTINUUM; EQUATIONS; EVOLUTION; SURFACES;

D O I：

10.1103/PhysRevE.110.L012801

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We introduce a multifractal optimal detrended fluctuation analysis to study the scaling properties of the onedimensional Wolf-Villain (WV) model for surface growth. This model produces coarsened surface morphologies for long timescales (up to 109 monolayers) and its universality class remains an open problem. Our results for the multifractal exponent tau(q) reveal an effective local roughness exponent consistent with a transient given by the molecular beam epitaxy (MBE) growth regime and Edwards-Wilkinson (EW) universality class for negative and positive q values, respectively. Therefore, although the results corroborate that long-wavelength fluctuations belong to the EW class in the hydrodynamic limit, as conjectured in the recent literature, a bifractal signature of the WV model with an MBE regime at short wavelengths was observed.

引用

页数：6

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