Cascade Probability Method and its Relationship with Boltzmann Equations

А. И. Купчишин, Anatoliy I. Kupchishin, Alexander A. Kupchishin, Alexander A. Kupchishin, Viktor M. Lisitsyn, Natalia A. Voronova, В. М. Лисицын

2016

Full text Open access: Hybrid Metadata (CSL-JSON)

DOI 10.4028/www.scientific.net/kem.712.123

Data confidence 70 medium

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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.