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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2023, Volume 514, Number 1, Pages 112–117
DOI: https://doi.org/10.31857/S2686954323600210 (Mi danma441) 		 
MATHEMATICS

Numerical-statistical investigation of superexponential growth of the mean particle flux with multiplication in a homogeneous random medium

G. A. Mikhailovab, G. Z. Lotovaab

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russian
b Novosibirsk State University, Novosibirsk, Russian
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DOI: https://doi.org/10.31857/S2686954323600210
Abstract: The new correlative-grid approximation of a homogeneous random field is introduced for the effective numerically-analytical investigation of the superexponential growth of the mean particles flux with multiplication in a random medium. A complexity of particle trajectory realization is not dependent on the correlation scale. The test computations for a critical ball with isotropic scattering showed high accuracy of the corresponding mean flux estimates. For the correlative-grid approximation the possibility of Gaussian asymptotics of the mean particles multiplication rate when the correlation scale decreases is justified.
Keywords: numerical statistical simulation, particles flux, superexponential asymptotics, random medium, the Voronoi mosaic, grid approximation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0251-2022-0002
This work was performed at the Institute of Computational Mathematics and Mathematical Geophysics of the Siberian Branch of the Russian Academy of Sciences within the state assignment, project no. 0251-2022-0002.
Received: 14.04.2023
Revised: 18.09.2023
Accepted: 03.11.2023
English version:
Doklady Mathematics, 2023, Volume 108, Issue 3, Pages 519–523
DOI: https://doi.org/10.1134/S106456242370148X
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: G. A. Mikhailov, G. Z. Lotova, “Numerical-statistical investigation of superexponential growth of the mean particle flux with multiplication in a homogeneous random medium”, Dokl. RAN. Math. Inf. Proc. Upr., 514:1 (2023), 112–117; Dokl. Math., 108:3 (2023), 519–523
Citation in format AMSBIB
\Bibitem{MikLot23}
\by G.~A.~Mikhailov, G.~Z.~Lotova
\paper Numerical-statistical investigation of superexponential growth of the mean particle flux with multiplication in a homogeneous random medium
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2023
\vol 514
\issue 1
\pages 112--117
\mathnet{http://mi.mathnet.ru/danma441}
\crossref{https://doi.org/10.31857/S2686954323600210}
\elib{https://elibrary.ru/item.asp?id=56718086}
\transl
\jour Dokl. Math.
\yr 2023
\vol 108
\issue 3
\pages 519--523
\crossref{https://doi.org/10.1134/S106456242370148X}
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