Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure
https://doi.org/10.35596/1729-7648-2021-19-8-35-39
Abstract
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.
About the Authors
A. V. Belko
Yanka Kupala State University of Grodno
Belarus
Belarus
Aliaksandr Vitalievich Belko – PhD., Сhair, Associate Professor at the Department of Information Systems and Technologies
230023, Republic of Belarus, Grodno, Ozheshko St., 22
N. N. Babarika
Yanka Kupala State University of Grodno
Belarus
Belarus
Nikolai N. Babarika – Senior Lecturer at the Department of Fundamental and Applied Mathematics
Grodno
I. S. Zeylikovich
Yanka Kupala State University of Grodno
Belarus
Belarus
Iosif S. Zeylikovich – D.Sc., Professor, Professor at the Department of Electrical Engineering and Electronics
Grodno
A. V. Nikitin
Yanka Kupala State University of Grodno
Belarus
Belarus
Aliaksandr V. Nikitin – PhD., Chair, Associate Professor at the Department of Theoretical Physics and Heat Engineering
Grodno
References
1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
6. Belko A.V., Mogil'nikov I.V. Models of fractal structures of fillers in composite systems. Transport. “Nauka
7. – 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.
8. 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.
9. Smirnov B.M. Fractal clusters. UFN. 1986;9(6):481-505.
10. Belko A.V., Nikitin A.V. Methods for constructing objects with fractal structure. Vesn. Grod. Dzyarzh.Univ., Ser. 2. 2002;11(2):133-137.
11. 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.
12. 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.
13. 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.
Review
For citations:
Belko A.V., Babarika N.N., Zeylikovich I.S., Nikitin A.V. Modification of the RLA model for presenting a cluster system of a composite material with a fractal filler structure. Doklady BGUIR. 2021;19(8):35-39. https://doi.org/10.35596/1729-7648-2021-19-8-35-39
Views: 2440
Email this article 