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Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium

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Abstract

A new correlative-grid approximation of a homogeneous random field is introduced for an effective numerical-analytical investigation of the superexponential growth of the mean particle flow with multiplication in a random medium. The complexity of particle trajectory realization is independent of the correlation scale. Test computations for a critical ball with isotropic scattering showed high accuracy of the corresponding mean flow estimates. For the correlative-grid approximation of a random density field, the possibility of Gaussian asymptotics of the mean particle multiplication rate as the correlation scale decreases is justified.

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Funding

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.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    G. A. Mikhailov & G. Z. Lotova

  2. Novosibirsk State University, Novosibirsk, Russia

    G. A. Mikhailov & G. Z. Lotova

Authors
  1. G. A. Mikhailov
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  2. G. Z. Lotova
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Correspondence to G. A. Mikhailov or G. Z. Lotova.

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The authors of this work declare that they have no conflicts of interest.

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Translated by I. Ruzanova

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Mikhailov, G.A., Lotova, G.Z. Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium. Dokl. Math. 108, 519–523 (2023). https://doi.org/10.1134/S106456242370148X

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  • DOI: https://doi.org/10.1134/S106456242370148X

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