Cascade probability method and its relationship with Boltzmann equations

A. I. Kupchishin, A. A. Kupchishin, N. A. Voronova, V. M. Lisitsyn

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


The paper suggests and develops a cascade probability method (in particular, for flows of plasma particles), the essence of which is to obtain and apply cascade probability functions (CPF) to cases of different particles. CPF is the probability of particles formed at a certain depth h′ reaching a certain depth h after i collisions. The work has considered the interaction of particles with matter; yielded the general solution for cascade probability method and a particular solution for the case of a collided particle not changing its direction and the flow rate not depending on time.

Original languageEnglish
Pages (from-to)123-129
Number of pages7
JournalKey Engineering Materials
Publication statusPublished - 2016
EventWorkshop on Advanced Materials for Technical and Medical Purpose, AMTMP-2016 - Tomsk, Russian Federation
Duration: 15 Feb 201617 Feb 2016


  • Cascade
  • Collisions
  • Function
  • Interaction
  • Matter
  • Method
  • Particles

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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