Mathematical Modelling of Radiating Processes in the Solids Irradiated by Heavy Ions
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Кілттік сөздер:
modeling, defect formation, cascade-probabilistic, ion, target, recurrence relation, approximation, concentration, vacancies cluster, spectrum of primarily knocked-on atomsАннотация
In this work the modelling of the processes of radiation defect formation in solids
irradiated by heavy ions within the cascade-probabilistic method (CPM), which is analytic. All the
mathematical models describing these processes are received both from physical reasons, and from
Kolmogorov-Chapman equations. Essence of CPM consists in reception and further use cascadeprobabilistic
functions (CPF), CPF makes sense of the fact that the particle generated on depth ℎ′
will reach depth h after N number of impacts.Mathematical models are received in such a way that
in them are considered energy losses to ionization and excitation of the electron envelopes of the
atoms of medium with interaction of heavy ions with solid
Библиографиялық сілтемелер
1. Kupchishin A.A., Kupchishin A.I., Shmygaleva T.A., etc. Modeling on the PC and experimental researches of
radiating processes in iron and firm alloys. - Almaty KazNAU, PTC, Open Company «KAMA», p. 263 (2010)
2. Kupchishin A.A., Kupchishin A.I., Shmygaleva T.A., etc. Radiating effects in titanic alloys and composites.
Monograph. Almaty: Almaty KazNAU, Open Company «KAMA», Al-FarabiKazNU SRI of FTP. p.228 (2010)
3. Boos E.G., Kupchishin A.A., Kupchishin A.I., Shmygalev E.V., Shmygaleva T.A. Cascade-probabilistic
method, the solution of radiation-physics tasks, equations of Boltzmann. Connection with the Markov chains.
Monograph. Almaty.: Abay KazNPU, al-FarabiKazNU NII (Scientific Research Institute) NKHT and M. p.
388 (2015)
4. Kupchishin A.I., Komarov F.F, Shmygaleva T.A., Togambayeva A.K. Modeling of cascade areas in
constructional materials // Materials science & technology conference and exhibition. (MS&T ’08). David
L.Lawrence Convention Center. Pittsburgh, Pennsylvania. October, 5-9, pp. 2183-2190 (2008)
5. Kupchishin A.I., Shmygaleva T.A., Komarov F.F, Togambayeva A.K. The Computation Modeling of the
Cascade Areas in Solids // 2008 IEEE Nuclear Science Symposium & Medical Imaging Conference & 16th
Room Temperature Semiconductor Detector Workshop. International Congress Center. Dresden, Germany19-
25 October. p.223
6. Kupchishin A.I., Shmygaleva T.A., Togambayeva A.K Mathematical modeling of cascade areas in
constructional materials // Proceedings of The International Conference on Modelling and Simulation MS’08
Jordan. PETRA (Jordan), 18-20 November, 2008. p.115-119.
7. Kolmogorov A.N. The basic concepts of the probability theory, M.: Science, p.119 (1974)
8. Komarov F.F., Kumakhov M.A. and other. Tables of the parameters of the spatial distribution of the ionimplanted
admixtures. Minsk: publishing house V.I. Lenin BGU, p.352 (1980)
9. Komarov F. F. Ionic implantation into the metals. - M, metallurgy, p. 216(1990)
10. Kupchishin A.A., Kupchishin A.I., Komarov F.F., Shmygaleva T.A., Togambaeva a. K. Computer simulation
of radiation-physics processes in the materials, irradiated by light ions and their connection with the Markov
processes // the transactions IV of international scientific conference “thermal radiation effects and processes
in the inorganic materials. - Tomsk: Publ. TPU, pp. 405-408 (2004)
11. Kupchishin A.I., Kupchishin A.A., Shmygaleva T.A., Togambaeva a. K. Generation of radiation defects in the
materials of those irradiated by light ions // nuclear and radiation physics: the materials of 4-th international
conference, on September 15 to 17, 2003 ; the volume of the II. - Almaty: INP NNC of RK, pp. 134-139 (2004)
12. Boos E. G., Kupchishin A.I. Solution of physical problems by cascade- probabilistic method. - Alma Ata:
Science,T.1., p.112 (1987)
13. Kupchishin A.A., Kupchishin A.I., Shmygaleva T.A. Application of cascade-probability technigue to processes
of ion passage through matter. // Proc. Int. Conf. Application of accelerator in Research and Industry. Denton.
Texas. USA,p.112 (1996)
radiating processes in iron and firm alloys. - Almaty KazNAU, PTC, Open Company «KAMA», p. 263 (2010)
2. Kupchishin A.A., Kupchishin A.I., Shmygaleva T.A., etc. Radiating effects in titanic alloys and composites.
Monograph. Almaty: Almaty KazNAU, Open Company «KAMA», Al-FarabiKazNU SRI of FTP. p.228 (2010)
3. Boos E.G., Kupchishin A.A., Kupchishin A.I., Shmygalev E.V., Shmygaleva T.A. Cascade-probabilistic
method, the solution of radiation-physics tasks, equations of Boltzmann. Connection with the Markov chains.
Monograph. Almaty.: Abay KazNPU, al-FarabiKazNU NII (Scientific Research Institute) NKHT and M. p.
388 (2015)
4. Kupchishin A.I., Komarov F.F, Shmygaleva T.A., Togambayeva A.K. Modeling of cascade areas in
constructional materials // Materials science & technology conference and exhibition. (MS&T ’08). David
L.Lawrence Convention Center. Pittsburgh, Pennsylvania. October, 5-9, pp. 2183-2190 (2008)
5. Kupchishin A.I., Shmygaleva T.A., Komarov F.F, Togambayeva A.K. The Computation Modeling of the
Cascade Areas in Solids // 2008 IEEE Nuclear Science Symposium & Medical Imaging Conference & 16th
Room Temperature Semiconductor Detector Workshop. International Congress Center. Dresden, Germany19-
25 October. p.223
6. Kupchishin A.I., Shmygaleva T.A., Togambayeva A.K Mathematical modeling of cascade areas in
constructional materials // Proceedings of The International Conference on Modelling and Simulation MS’08
Jordan. PETRA (Jordan), 18-20 November, 2008. p.115-119.
7. Kolmogorov A.N. The basic concepts of the probability theory, M.: Science, p.119 (1974)
8. Komarov F.F., Kumakhov M.A. and other. Tables of the parameters of the spatial distribution of the ionimplanted
admixtures. Minsk: publishing house V.I. Lenin BGU, p.352 (1980)
9. Komarov F. F. Ionic implantation into the metals. - M, metallurgy, p. 216(1990)
10. Kupchishin A.A., Kupchishin A.I., Komarov F.F., Shmygaleva T.A., Togambaeva a. K. Computer simulation
of radiation-physics processes in the materials, irradiated by light ions and their connection with the Markov
processes // the transactions IV of international scientific conference “thermal radiation effects and processes
in the inorganic materials. - Tomsk: Publ. TPU, pp. 405-408 (2004)
11. Kupchishin A.I., Kupchishin A.A., Shmygaleva T.A., Togambaeva a. K. Generation of radiation defects in the
materials of those irradiated by light ions // nuclear and radiation physics: the materials of 4-th international
conference, on September 15 to 17, 2003 ; the volume of the II. - Almaty: INP NNC of RK, pp. 134-139 (2004)
12. Boos E. G., Kupchishin A.I. Solution of physical problems by cascade- probabilistic method. - Alma Ata:
Science,T.1., p.112 (1987)
13. Kupchishin A.A., Kupchishin A.I., Shmygaleva T.A. Application of cascade-probability technigue to processes
of ion passage through matter. // Proc. Int. Conf. Application of accelerator in Research and Industry. Denton.
Texas. USA,p.112 (1996)
Жүктелулер
Как цитировать
Jeleunova, S. E., Shmygaleva, T. A., Kupchishin, A. I., Shmygalev, E. V., Kupchishin, A. A., Cherikbayeva, L. S., Masyrova, I. D., & Alirakymov, B. B. (2018). Mathematical Modelling of Radiating Processes in the Solids Irradiated by Heavy Ions. Қазұу Хабаршысы. Математика, механика, информатика сериясы, 86(3), 70–82. вилучено із https://bm.kaznu.kz/index.php/kaznu/article/view/500
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