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

6th International Conference: Modern Technologies for Non-Destructive Testing

Voronova, N.A.^1 ; Kirdyashkin, V.I.^1 ; Kupchishin, A.I.^1,2 ; Kupchishin, A.A.^1

Abay Kazakh National Pedagogical University, Almaty, Kazakhstan^1

Al-Farabi Kazakh National University, Almaty, Kazakhstan^2

关键词: Boltzmann;    Cascade process;    Probability functions;    Three-dimensional equations;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/289/1/012030/pdf
DOI  :  10.1088/1757-899X/289/1/012030

来源: IOP

【 摘 要 】

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.