Scaling properties of the growing monolayer on the disordered substrate

•The anisotropy in the lateral diffusivity of adatoms induces pattern formation.•A growth in the disorder strength accelerates ordering of the surface.•Nano-sized adsorbate islands are characterized by the fractional dimension and power-law distribution over sizes. We present results of theoretical...

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Bibliographic Details
Published inPhysics letters. A Vol. 384; no. 16; p. 126329
Main Authors Dvornichenko, Alina V., Kharchenko, Vasyl O.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 04.06.2020
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Summary:•The anisotropy in the lateral diffusivity of adatoms induces pattern formation.•A growth in the disorder strength accelerates ordering of the surface.•Nano-sized adsorbate islands are characterized by the fractional dimension and power-law distribution over sizes. We present results of theoretical and numerical studies the pattern formation processes in adsorptive system with the disordered substrate, representing high-entropy alloy. The lateral diffusivity of adatoms on the substrate is represented as a quenched spatial disorder. By taking into account a transference of adsorbate between first two layers we construct the reaction-diffusion model, describing evolution of adsorbate concentration on the disordered substrate. It will be shown, that at elevated values of the pressure inside a chamber the quenched spatial disorder will induce pattern formation in the system. We will show that the strength of the spatial disorder can control dynamics of nanostructured film growth, type of surface structures and scaling properties of the growing layer. This study provides an insight into details of self-organization of adatoms on the high-entropy alloys in adsorptive systems.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2020.126329