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Editor-in-Chief

**Nikiforov**

Vladimir O.

D.Sc., Prof.

Vladimir O.

D.Sc., Prof.

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doi: 10.17586/2226-1494-2019-19-5-862-868

doi: 10.17586/2226-1494-2019-19-5-862-868

#
KINETIC APPROACH OF PLASMA PROCESSES MODELING FOR SYNTHESIS OF CARBON NANOSTRUCTURES

**Read the full article**';

**Article in**Russian

**For citation:**

Gavrilov A.N., Sukhanova N.V., Rylev S.S. Kinetic approach of plasma processes modeling for synthesis of carbon nanostructures. *Scientiﬁc and Technical Journal of Information Technologies, Mechanics and Optics, *2019, vol. 19, no. 5, pp. 862–868 (in Russian). doi: 10.17586/2226-1494-2019-19-5-862-868

**Abstract**

**Subject of Research.**We consider а new mathematical modeling method for synthesis processes of carbon nanostructures in plasma. The method is characterized by the use of the Boltzmann kinetic equation and particle distribution functions taking into account the paired elastic and inelastic collisions. The widespread use of nanotubes, fullerenes in modern industry is limited by the high cost and low productivity of synthesis methods due to insufﬁcient theoretical study of their formation processes. The aim of the work is to build a model of the processes for obtaining various carbon nanostructures in arc discharge plasma and the development of effective numerical methods for calculating the conditions improving the synthesis efﬁciency.

**Method**. The paper presents a method of numerical solution of the considered multidimensional nonlinear problem with the use of nVidia CUDA technology in combination with the parallelization technology on the central and graphic processors. The method gives the possibility to obtain cost-effective solution by applying limited computing resources on a personal computer.

**Main Results.**The developed model makes it possible to describe adequately the processes of formation and growth of cluster groups, which are the basis for the formation of carbon nanostructures in arc discharge plasma, and also to take into account the effect of synthesis conditions on the ﬁnal product output.

**Practical Relevance.**The developed mathematical model and its elements can be used in the design of plants for the synthesis of carbon nanostructures by thermal evaporation of graphite

**Keywords:**carbon nanostructures, mathematical model, electric arc synthesis, plasma, Boltzmann equation, major particle method, CUDA

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13. Abramov G.V., Gavrilov A.N., Ivashin A.L., Tolstova I.S. Using parallel computing in computationally intensive problems of simulating particle motion and interaction in plasma during carbon nanostructure synthesis. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2018, vol. 80, no. 5, pp. 4‒14. (in Russian). doi: 10.18698/1812-3368-2018-5-4-14

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18. Abramov G., Gavrilov A., Ivashin A., Tolstova I. Modeling of the motion and interaction of carbon particles in the plasma electric arc discharge using parallel programming technologies. Proc. 8th International Multi-Conference on Complexity, Informatics and Cybernetics (IMCIC 2017), 2017, pp. 67‒72.

19. Abramov G.V., Gavrilov A.N. Automatic control system of the carbon nanostructures synthesis in the arc discharge plasma. Automation. Modern technology, 2016, no. 3, pp. 10‒14. (in Russian)

20. Ying L.S., Salleh A., Yusoff H.M., Rashid S.A., Razak J.A. Continuous production of carbon nanotubes – A review. Journal of Industrial and Engineering Chemistry, 2011, vol. 17, no. 3, pp. 367–376. doi: 10.1016/j.jiec.2011.05.007

9. Abramov G.V., Gavrilov A.N., Tatarkin E.S. Simulation of car- bon clusters formation in the plasma by graphite thermal spraying. Proceedings of Voronezh State University. Series: Physics. Mathematics, 2011, no. 2, pp. 5‒8. (in Russian)

10. Abramov G.V., Gavrilov A.N., Pologno E.A. Numerical solution of heat transfer with moving boundaries in the arc synthesis of carbon nanotubes. Bulletin of the Voronezh state technological Academy, 2010, no. 2(44), pp. 9‒14. (in Russian)

11. Heer C.V. Statistical mechanics, kinetic theory, and stochastic processes. New York, London, Academic Press, 1972, 618 p.

12. Gavrilov A.N. Simulation of formation of carbon nanostructures in low-temperature plasma using parallel calculations. Proceedings of Voronezh State University. Series: Systems analysis and information technologies, 2018, no. 2, pp. 14–21. (in Russian)

13. Abramov G.V., Gavrilov A.N., Ivashin A.L., Tolstova I.S. Using parallel computing in computationally intensive problems of simulating particle motion and interaction in plasma during carbon nanostructure synthesis. Herald of the Bauman Moscow State Technical University, Series Natural Sciences, 2018, vol. 80, no. 5, pp. 4‒14. (in Russian). doi: 10.18698/1812-3368-2018-5-4-14

14. Bastrakov S., Meyerov I., Surmin I., Eﬁmenko E., Gonoskov A., Malyshev A., Shiryaev M. Particle-in-cell plasma simulation on CPUs, GPUs and Xeon Phi coprocessors. Lecture Notes in Computer Science, 2014, vol. 8488, pp. 513–514.

15. Kim H., Vuduc R., Baghsorkhi S. Performance analysis and tuning for general purpose graphics processing units (GPGPU). Morgan & Claypool Publishers, 2012, 96 p. (Synthesis Lectures on Computer Architecture, vol. 20). doi: 10.2200/ S00451ED1V01Y201209CAC020

16. Sanders J., Kandrot E. CUDA by Example: An Introduction to General-Purpose GPU Programming. Addison-Wesley Professional, 2011, 212 p.

17. Cheng J., Grossman M., McKercher T. Professional CUDA C programming. N.-Y., Wrox, 2014, 528 p.

18. Abramov G., Gavrilov A., Ivashin A., Tolstova I. Modeling of the motion and interaction of carbon particles in the plasma electric arc discharge using parallel programming technologies. Proc. 8th International Multi-Conference on Complexity, Informatics and Cybernetics (IMCIC 2017), 2017, pp. 67‒72.

19. Abramov G.V., Gavrilov A.N. Automatic control system of the carbon nanostructures synthesis in the arc discharge plasma. Automation. Modern technology, 2016, no. 3, pp. 10‒14. (in Russian)

20. Ying L.S., Salleh A., Yusoff H.M., Rashid S.A., Razak J.A. Continuous production of carbon nanotubes – A review. Journal of Industrial and Engineering Chemistry, 2011, vol. 17, no. 3, pp. 367–376. doi: 10.1016/j.jiec.2011.05.007