Cascade-probabilistic methods and solution of Boltzman type of equations for particle flow

A. A. Kupchishin, A. A. Kupchishin, N. A. Voronova

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


A new method for calculating the spatial and temporal distributions of secondary particles and passing through a substance called cascade-probabilistic (HF) was proposed, developed and described. Original problems in the application of the original CP-technique in radiation physics, cosmic ray and positron physics was resolved. The general expression for the Boltzmann equation for the steady and unsteady cases was recorded based on an analysis of all the studies. In case of one-dimensional and three-dimensional (coordinate and angles θ and α) Boltzmann equations solution goes into the previously obtained expressions for Nm. In addition, all previously derived analytical expressions for flow of different particles: protons, neutrons, electrons, concentration of defects, etc. are obtained after simplifying. At the same calculations give satisfactory agreement with experimental data.

Original languageEnglish
Article number012035
JournalIOP Conference Series: Materials Science and Engineering
Issue number1
Publication statusPublished - 23 Feb 2016
Externally publishedYes
Event11th International Scientific Conference on Radiation-Thermal Effects and Processes in Inorganic Materials 2015, RTEP 2015 - Tomsk, Russian Federation
Duration: 31 Aug 201510 Sep 2015

ASJC Scopus subject areas

  • Materials Science(all)
  • Engineering(all)

Fingerprint Dive into the research topics of 'Cascade-probabilistic methods and solution of Boltzman type of equations for particle flow'. Together they form a unique fingerprint.

Cite this