On the connection of the generalized cascade-probability function with the Boltzmann equation

Abstract

It was revealed that the generalized cascade-probability function (GCPF) can be obtained from the three-dimensional equation of the cascade process (of the Boltzmann type). It was established that this function, depending on the number of interactions, first increases, reaches a maximum, and then decreases. With the increase in H, the maximum of GCPF is shifted to the right, and its value decreases.

Original language	English
Article number	012030
Journal	IOP Conference Series: Materials Science and Engineering
Volume	289
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/289/1/012030
Publication status	Published - 12 Jan 2018
Externally published	Yes
Event	6th International Conference on Modern Technologies for Non-Destructive Testing - Tomsk, Russian Federation Duration: 9 Oct 2017 → 14 Oct 2017

ASJC Scopus subject areas

Materials Science(all)
Engineering(all)

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10.1088/1757-899X/289/1/012030

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title = "On the connection of the generalized cascade-probability function with the Boltzmann equation",

abstract = "It was revealed that the generalized cascade-probability function (GCPF) can be obtained from the three-dimensional equation of the cascade process (of the Boltzmann type). It was established that this function, depending on the number of interactions, first increases, reaches a maximum, and then decreases. With the increase in H, the maximum of GCPF is shifted to the right, and its value decreases.",

author = "Voronova, {N. A.} and Kirdyashkin, {V. I.} and Kupchishin, {A. I.} and Kupchishin, {A. I.}",

year = "2018",

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language = "English",

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journal = "IOP Conference Series: Materials Science and Engineering",

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AU - Voronova, N. A.

AU - Kirdyashkin, V. I.

AU - Kupchishin, A. I.

PY - 2018/1/12

Y1 - 2018/1/12

N2 - It was revealed that the generalized cascade-probability function (GCPF) can be obtained from the three-dimensional equation of the cascade process (of the Boltzmann type). It was established that this function, depending on the number of interactions, first increases, reaches a maximum, and then decreases. With the increase in H, the maximum of GCPF is shifted to the right, and its value decreases.

AB - It was revealed that the generalized cascade-probability function (GCPF) can be obtained from the three-dimensional equation of the cascade process (of the Boltzmann type). It was established that this function, depending on the number of interactions, first increases, reaches a maximum, and then decreases. With the increase in H, the maximum of GCPF is shifted to the right, and its value decreases.

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U2 - 10.1088/1757-899X/289/1/012030

DO - 10.1088/1757-899X/289/1/012030

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VL - 289

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

SN - 1757-8981

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T2 - 6th International Conference on Modern Technologies for Non-Destructive Testing

Y2 - 9 October 2017 through 14 October 2017

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