NUMERICAL-STATISTICAL INVESTIGATION OF SUPEREXPONENTIAL GROWTH OF THE MEAN PARTICLE FLUX WITH MULTIPLICATION IN A HOMOGENEOUS RANDOM MEDIUM-Reference-Cited by-同舟云学术

NUMERICAL-STATISTICAL INVESTIGATION OF SUPEREXPONENTIAL GROWTH OF THE MEAN PARTICLE FLUX WITH MULTIPLICATION IN A HOMOGENEOUS RANDOM MEDIUM

Published:2023-11-01 Issue:1 Volume:514 Page:112-117
ISSN:2686-9543
Container-title:Доклады Российской академии наук. Математика, информатика, процессы управления
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Short-container-title:Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ

Author:

Mikhailov G. A.¹²,Lotova G. Z.¹²

Affiliation:

1. Institute of computational mathematics and mathematical geophysics SB RAS

2. Novosibirsk State University

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.

Publisher

The Russian Academy of Sciences

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