TY - JOUR

T1 - Estimation of the average particle flux in a stochastically homogeneous medium by Monte Carlo method

AU - Lotova, Galiya Z.

AU - Mikhailov, Gennady A.

N1 - Publisher Copyright: © 2022 Walter de Gruyter GmbH, Berlin/Boston.

PY - 2022/12/1

Y1 - 2022/12/1

N2 - The paper is focused on the study of the superexponential growth of the average number of particles in a stochastically homogeneous propagating medium. A mosaic Voronoi field ('mosaic') is considered as a random density model. The notion of 'effective' correlation radius is introduced to compare the results with previously obtained estimates of superexponential parameters for a spherically symmetric layered mosaic. It is shown that transition from the layered random density model to a chaotic one preserving the correlation scale and one-dimensional distribution weakens the 'superexponential' property of the particle flux.

AB - The paper is focused on the study of the superexponential growth of the average number of particles in a stochastically homogeneous propagating medium. A mosaic Voronoi field ('mosaic') is considered as a random density model. The notion of 'effective' correlation radius is introduced to compare the results with previously obtained estimates of superexponential parameters for a spherically symmetric layered mosaic. It is shown that transition from the layered random density model to a chaotic one preserving the correlation scale and one-dimensional distribution weakens the 'superexponential' property of the particle flux.

KW - particle flow

KW - random medium

KW - Statistical simulation

KW - time asymptotics

KW - Voronoi mosaic

UR - http://www.scopus.com/inward/record.url?scp=85143981200&partnerID=8YFLogxK

U2 - 10.1515/rnam-2022-0029

DO - 10.1515/rnam-2022-0029

M3 - Article

AN - SCOPUS:85143981200

VL - 37

SP - 363

EP - 371

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 6

ER -