bsuirДоклады БГУИРDoklady BGUIR1729-76482708-0382БГУИР10.35596/1729-7648-2021-19-8-35-39bsuir-3242Research ArticleЭЛЕКТРОНИКА, РАДИОФИЗИКА, РАДИОТЕХНИКА, ИНФОРМАТИКАELECTRONICS, RADIOPHYSICS, RADIOENGINEERING, INFORMATICSModification of the RLA model for presenting a cluster system of a composite material with a fractal filler structureModification of the RLA model for presenting a cluster system of a composite material with a fractal filler structureBelkoА. V.BelkoA. V.

Aliaksandr Vitalievich Belko – PhD., Сhair, Associate Professor at the Department of Information Systems and Technologies

230023, Republic of Belarus, Grodno, Ozheshko St., 22

belko_av@grsu.byBabarikaN. N.BabarikaN. N.

Nikolai N. Babarika – Senior Lecturer at the Department of Fundamental and Applied Mathematics

Grodno

ZeylikovichI. S.ZeylikovichI. S.

Iosif S. Zeylikovich – D.Sc., Professor, Professor at the Department of Electrical Engineering and Electronics

Grodno

NikitinA. V.NikitinA. V.

Aliaksandr V. Nikitin  – PhD., Chair, Associate Professor at the Department of Theoretical Physics and Heat Engineering

Grodno

Yanka Kupala State University of GrodnoYanka Kupala State University of Grodno2021020120221983539Copyright © Belko А.V., Babarika N.N., Zeylikovich I.S., Nikitin A.V., 20222022Belko А.V., Babarika N.N., Zeylikovich I.S., Nikitin A.V.Belko A.V., Babarika N.N., Zeylikovich I.S., Nikitin A.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.bsuir.by/jour/article/view/3242

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.

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.

polymer compositescluster systemfractal dimensionRLA modelsReferencesBelko A.V., Nikitin A.V. Fractal structure copper clusters in a matrix of polytetrafluoroethylene. NDTCS- 2017. 17th International Workshop on New Approaches to High-Tech: Nano-Design, Technology. Computer Simulations October 26–27. Minsk, Belarus; 2017: 140-141.Belko A.V., Nikitin A.V. Fractal structure copper clusters in a matrix of polytetrafluoroethylene. NDTCS- 2017. 17th International Workshop on New Approaches to High-Tech: Nano-Design, Technology. Computer Simulations October 26–27. Minsk, Belarus; 2017: 140-141.Belko A.V., Babarika N.N., Zeyikovich I.S., Nikitin A.V. Diagnostics of the structure of fractal copper clusters in a polytetrafluoroethylene matrix. Pattern Recognition and Image Analysis. 2020;9(1):1-6.Belko A.V., Babarika N.N., Zeyikovich I.S., Nikitin A.V. Diagnostics of the structure of fractal copper clusters in a polytetrafluoroethylene matrix. Pattern Recognition and Image Analysis. 2020;9(1):1-6.Belko A.V., Babarika N.N., Zeyikovich I.S., Nikitin A.V. Diagnostics of the structure of fractal copper clusters in a matrix of polytetrafluoroethylene. Proc. 14th International Conference on Pattern Recognition and Information Processing (PRIP’2019). Minsk, Belarus, May 21–23; 2019: 316-319.Belko A.V., Babarika N.N., Zeyikovich I.S., Nikitin A.V. Diagnostics of the structure of fractal copper clusters in a matrix of polytetrafluoroethylene. Proc. 14th International Conference on Pattern Recognition and Information Processing (PRIP’2019). Minsk, Belarus, May 21–23; 2019: 316-319.Belko A.V., Nikitin A.V. Fractal structure copper clusters in a matrix of polytetrafluoroethylene. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2017;7(3):90-97.Belko A.V., Nikitin A.V. Fractal structure copper clusters in a matrix of polytetrafluoroethylene. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2017;7(3):90-97.Belko A.V., Nikitin A.V. Simulation of cluster formation in a liquid dispersion medium. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2015;192(2):92-100.Belko A.V., Nikitin A.V. Simulation of cluster formation in a liquid dispersion medium. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2015;192(2):92-100.Belko A.V., Mogil'nikov I.V. Models of fractal structures of fillers in composite systems. Transport. “NaukaBelko A.V., Mogil'nikov I.V. Models of fractal structures of fillers in composite systems. Transport. “Nauka– budushchee Litvy”: doklady 10 konferentsii molodykh uchenykh Litvy, Vil'nius, 23 maia 2007 g. Vil'nius: Vil'niusskii tekhn. universitet im. Gediminasa; 2007:206-211.– budushchee Litvy”: doklady 10 konferentsii molodykh uchenykh Litvy, Vil'nius, 23 maia 2007 g. Vil'nius: Vil'niusskii tekhn. universitet im. Gediminasa; 2007:206-211.Belko A.V., Nikitin A.V. The kinetics of formation of fractal clusters in disperse systems with irreversible coagulation. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2006;41(2):56-61.Belko A.V., Nikitin A.V. The kinetics of formation of fractal clusters in disperse systems with irreversible coagulation. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2006;41(2):56-61.Smirnov B.M. Fractal clusters. UFN. 1986;9(6):481-505.Smirnov B.M. Fractal clusters. UFN. 1986;9(6):481-505.Belko A.V., Nikitin A.V. Methods for constructing objects with fractal structure. Vesn. Grod. Dzyarzh.Univ., Ser. 2. 2002;11(2):133-137.Belko A.V., Nikitin A.V. Methods for constructing objects with fractal structure. Vesn. Grod. Dzyarzh.Univ., Ser. 2. 2002;11(2):133-137.Belko A.V., Nikitin A.V., Skaskevich A. A., Bachurina A. Yu., Sarosek S. I. Models of fractal structures in composite systems on the basis of polymers. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2012;129(2):95-104.Belko A.V., Nikitin A.V., Skaskevich A. A., Bachurina A. Yu., Sarosek S. I. Models of fractal structures in composite systems on the basis of polymers. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2012;129(2):95-104.Belko A.V., Babarika N. N., Nikitin A. V. Effect of double electric layers of disperse particles on structure and mechanisms of formation of fractal clusters in disperse systems. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2019;9(1):68-77.Belko A.V., Babarika N. N., Nikitin A. V. Effect of double electric layers of disperse particles on structure and mechanisms of formation of fractal clusters in disperse systems. Vesn. Grod. Dzyarzh. Univ., Ser. 2. 2019;9(1):68-77.Belko A.V., Babarika N. N., Zeyikovich I. S., Nikitin A. V. Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure. Book of abstracts NDTCS-2021. 19th International Workshop on New Approaches to High-Tech: Nano-Design, Technology, Computer Simulations. Minsk, Belarus, October 28–29; 2021: 95-97.Belko A.V., Babarika N. N., Zeyikovich I. S., Nikitin A. V. Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure. Book of abstracts NDTCS-2021. 19th International Workshop on New Approaches to High-Tech: Nano-Design, Technology, Computer Simulations. Minsk, Belarus, October 28–29; 2021: 95-97.

The authors declare that there are no conflicts of interest present.