Cascade Probability Method and its Relationship with Boltzmann Equations

Anatoliy I. Kupchishin; Alexander A. Kupchishin; Natalia A. Voronova; Viktor M. Lisitsyn

doi:10.4028/www.scientific.net/KEM.712.123

Paper Titles

The Features of Diffusion and Mechanical Waves Interaction at the Initial Stage of Metal Surface Treatment by Particle Beam under Nonisothermal Conditions
p.99

Numerical Simulation of Temperature Field in Steel under Action of Electron Beam Heating Source
p.105

Textural Characteristics of Products Obtained by Electrochemical Oxidation of Copper and Cadmium Using Alternating Current
p.112

Electrolytic Behavior Silver Microphases and Nanophases on the Graphite Electrode Surface
p.117

Cascade Probability Method and its Relationship with Boltzmann Equations
p.123

Influence of Copper Nanoparticles on Tribological Properties of Nanolamellar Tungsten Disulfide
p.133

Structure and Worn Surface Morphology on Copper Containing Composites under Dry Sliding with High Contact Current Density
p.137

Physical and Chemical Aspects of Formation of Epoxy Composite Material with Microfilling Agent
p.143

Regularities of Impact Failure of Epoxy Composites with Al₂O₃ Microfiller and their Analysis on the Basis of External Surface Layer Concept
p.149

HomeKey Engineering MaterialsKey Engineering Materials Vol. 712Cascade Probability Method and its Relationship...

Cascade Probability Method and its Relationship with Boltzmann Equations

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.

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Periodical:

Key Engineering Materials (Volume 712)

Pages:

123-129

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.712.123

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Online since:

September 2016

Authors:

Anatoliy I. Kupchishin*, Alexander A. Kupchishin, Natalia A. Voronova, Viktor M. Lisitsyn

Keywords:

Cascade, Collisions, Function, Interaction, Matter, Method, Particles

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References

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