Mathematical Modelling of Radiating Processes in the Solids Irradiated by Heavy Ions

Authors

  • Sh. E. Jeleunova al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • T. A. Shmygaleva al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • A. I. Kupchishin al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • E. V. Shmygalev al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • A. A. Kupchishin al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • L. Sh. Cherikbayeva al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • I. D. Masyrova al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan
  • B. B. Alirakymov al-Farabi Kazakh National University, Almaty, Republic of Kazakhstan

Keywords:

modeling, defect formation, cascade-probabilistic, ion, target, recurrence relation, approximation, concentration, vacancies cluster, spectrum of primarily knocked-on atoms

Abstract

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

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Published

2018-09-28

Issue

Vol. 86 No. 3 (2015): Journal of Mathematics, Mechanics and Computer Science

Section

Mathematical modeling of technological processes

How to Cite

Mathematical Modelling of Radiating Processes in the Solids Irradiated by Heavy Ions. (2018). Journal of Mathematics, Mechanics and Computer Science, 86(3), 70-82. https://bm.kaznu.kz/index.php/kaznu/article/view/500