Investigation of Overexponential Growth of Mean Particle Flux with Multiplication in Random Medium

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Investigation of Overexponential Growth of Mean Particle Flux with Multiplication in Random Medium. / Lotova, G. Z.; Mikhailov, G. A.

In: Numerical Analysis and Applications, Vol. 16, No. 4, 12.2023, p. 337-347.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{83651389eb914d8288ed87c2f9be8288,

title = "Investigation of Overexponential Growth of Mean Particle Flux with Multiplication in Random Medium",

abstract = "A new correlative-grid approximation for a homogeneous isotropic random field of density is introduced for effective numerical-analytical investigation of overexponential growth of the mean flux of particles with multiplication in a random medium. In this case, the complexity of realization of a particle trajectory is independent of the correlation scale. For the correlative-grid approximation, the possibility of a Gaussian asymptotics of the average rate of particle multiplication is proved for a random field of limited density. It ensures a superexponential growth of the flux in some initial time interval. An estimate of further overexponential flux growth is constructed based on some test computations.",

keywords = "grid approximation, numerical statistical simulation, overexponential asymptotics, particle flux, random medium, the Voronoi mosaic",

author = "Lotova, {G. Z.} and Mikhailov, {G. A.}",

note = "This work was performed under state assignment of Institute of Computational Mathematics and Mathematical Geophysics SB RAS (project no. 0251-2021-0002). Публикация для корректировки.",

year = "2023",

month = dec,

doi = "10.1134/S1995423923040055",

language = "English",

volume = "16",

pages = "337--347",

journal = "Numerical Analysis and Applications",

issn = "1995-4239",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Investigation of Overexponential Growth of Mean Particle Flux with Multiplication in Random Medium

AU - Lotova, G. Z.

AU - Mikhailov, G. A.

N1 - This work was performed under state assignment of Institute of Computational Mathematics and Mathematical Geophysics SB RAS (project no. 0251-2021-0002). Публикация для корректировки.

PY - 2023/12

Y1 - 2023/12

N2 - A new correlative-grid approximation for a homogeneous isotropic random field of density is introduced for effective numerical-analytical investigation of overexponential growth of the mean flux of particles with multiplication in a random medium. In this case, the complexity of realization of a particle trajectory is independent of the correlation scale. For the correlative-grid approximation, the possibility of a Gaussian asymptotics of the average rate of particle multiplication is proved for a random field of limited density. It ensures a superexponential growth of the flux in some initial time interval. An estimate of further overexponential flux growth is constructed based on some test computations.

AB - A new correlative-grid approximation for a homogeneous isotropic random field of density is introduced for effective numerical-analytical investigation of overexponential growth of the mean flux of particles with multiplication in a random medium. In this case, the complexity of realization of a particle trajectory is independent of the correlation scale. For the correlative-grid approximation, the possibility of a Gaussian asymptotics of the average rate of particle multiplication is proved for a random field of limited density. It ensures a superexponential growth of the flux in some initial time interval. An estimate of further overexponential flux growth is constructed based on some test computations.

KW - grid approximation

KW - numerical statistical simulation

KW - overexponential asymptotics

KW - particle flux

KW - random medium

KW - the Voronoi mosaic

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85178906676&origin=inward&txGid=82003a8ca1f9f79895684f4fdf02b732

UR - https://www.mendeley.com/catalogue/bf8be75c-8e4b-3cc8-a498-52f0c62a6da0/

U2 - 10.1134/S1995423923040055

DO - 10.1134/S1995423923040055

M3 - Article

VL - 16

SP - 337

EP - 347

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 4

ER -

ID: 59543165