### Abstract

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 language | English |
---|---|

Pages (from-to) | 123-129 |

Number of pages | 7 |

Journal | Key Engineering Materials |

Volume | 712 |

DOIs | |

Publication status | Published - 2016 |

Event | Workshop on Advanced Materials for Technical and Medical Purpose, AMTMP-2016 - Tomsk, Russian Federation Duration: 15 Feb 2016 → 17 Feb 2016 |

### Fingerprint

### Keywords

- Cascade
- Collisions
- Function
- Interaction
- Matter
- Method
- Particles

### ASJC Scopus subject areas

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

### Cite this

*Key Engineering Materials*,

*712*, 123-129. https://doi.org/10.4028/www.scientific.net/KEM.712.123

**Cascade probability method and its relationship with Boltzmann equations.** / Kupchishin, A. I.; Kupchishin, A. A.; Voronova, N. A.; Lisitsyn, V. M.

Research output: Contribution to journal › Article

*Key Engineering Materials*, vol. 712, pp. 123-129. https://doi.org/10.4028/www.scientific.net/KEM.712.123

}

TY - JOUR

T1 - Cascade probability method and its relationship with Boltzmann equations

AU - Kupchishin, A. I.

AU - Kupchishin, A. A.

AU - Voronova, N. A.

AU - Lisitsyn, V. M.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Cascade

KW - Collisions

KW - Function

KW - Interaction

KW - Matter

KW - Method

KW - Particles

UR - http://www.scopus.com/inward/record.url?scp=84990855309&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84990855309&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/KEM.712.123

DO - 10.4028/www.scientific.net/KEM.712.123

M3 - Article

VL - 712

SP - 123

EP - 129

JO - Key Engineering Materials

JF - Key Engineering Materials

SN - 1013-9826

ER -