Abstract
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 φ) 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.