Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure

The paper proposes a modification of the diffusion-limited aggregation model to study the properties of a cluster system. A computational experiment to determine the mutual influence of the sticking probability and the volume concentration of particles on the formation of fractal clusters in a clust...

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Main Authors: A. V. Belko, N. N. Babarika, I. S. Zeylikovich, A. V. Nikitin
Format: Article
Language:Russian
Published: Educational institution «Belarusian State University of Informatics and Radioelectronics» 2022-01-01
Series:Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
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Online Access:https://doklady.bsuir.by/jour/article/view/3242
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author A. V. Belko
N. N. Babarika
I. S. Zeylikovich
A. V. Nikitin
author_facet A. V. Belko
N. N. Babarika
I. S. Zeylikovich
A. V. Nikitin
author_sort A. V. Belko
collection DOAJ
description The paper proposes a modification of the diffusion-limited aggregation model to study the properties of a cluster system. A computational experiment to determine the mutual influence of the sticking probability and the volume concentration of particles on the formation of fractal clusters in a cluster system was carried out in accordance  with  the  second-order  orthogonal  central  compositional  plan  (OCCP).  As  a  result of a computational experiment in accordance with the OCCP, an equation was obtained for the dependence of the mass fractal dimension of clusters on the volume of particle concentration and the probability of adhesion of diffusing particles and cluster particles in the adhesion zone. This dependence was obtained in a range of volume concentration of particles from 2 to 5 % and the probability of adhesion of diffusing particles and particles of clusters in the adhesion zone from 0.2 to 1.
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id doaj-art-c46fb63d2e6e40d19e3e73b9d5041ba7
institution Matheson Library
issn 1729-7648
language Russian
publishDate 2022-01-01
publisher Educational institution «Belarusian State University of Informatics and Radioelectronics»
record_format Article
series Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
spelling doaj-art-c46fb63d2e6e40d19e3e73b9d5041ba72025-08-04T17:38:21ZrusEducational institution «Belarusian State University of Informatics and Radioelectronics»Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki1729-76482022-01-01198353910.35596/1729-7648-2021-19-8-35-391760Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structureA. V. Belko0N. N. Babarika1I. S. Zeylikovich2A. V. Nikitin3Yanka Kupala State University of GrodnoYanka Kupala State University of GrodnoYanka Kupala State University of GrodnoYanka Kupala State University of GrodnoThe paper proposes a modification of the diffusion-limited aggregation model to study the properties of a cluster system. A computational experiment to determine the mutual influence of the sticking probability and the volume concentration of particles on the formation of fractal clusters in a cluster system was carried out in accordance  with  the  second-order  orthogonal  central  compositional  plan  (OCCP).  As  a  result of a computational experiment in accordance with the OCCP, an equation was obtained for the dependence of the mass fractal dimension of clusters on the volume of particle concentration and the probability of adhesion of diffusing particles and cluster particles in the adhesion zone. This dependence was obtained in a range of volume concentration of particles from 2 to 5 % and the probability of adhesion of diffusing particles and particles of clusters in the adhesion zone from 0.2 to 1.https://doklady.bsuir.by/jour/article/view/3242polymer compositescluster systemfractal dimensionrla models
spellingShingle A. V. Belko
N. N. Babarika
I. S. Zeylikovich
A. V. Nikitin
Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
Doklady Belorusskogo gosudarstvennogo universiteta informatiki i radioèlektroniki
polymer composites
cluster system
fractal dimension
rla models
title Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
title_full Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
title_fullStr Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
title_full_unstemmed Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
title_short Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
title_sort modification of the rla model for presenting a cluster system of a composite material with a fractal filler structure
topic polymer composites
cluster system
fractal dimension
rla models
url https://doklady.bsuir.by/jour/article/view/3242
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AT nnbabarika modificationoftherlamodelforpresentingaclustersystemofacompositematerialwithafractalfillerstructure
AT iszeylikovich modificationoftherlamodelforpresentingaclustersystemofacompositematerialwithafractalfillerstructure
AT avnikitin modificationoftherlamodelforpresentingaclustersystemofacompositematerialwithafractalfillerstructure