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

Standard

Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium. / Михайлов, Геннадий Алексеевич ; Лотова, Галия Зуфаровна.

в: Doklady Mathematics, Том 108, № 3, 12.2023, стр. 519-523.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{1e6a2371a6844cf293d627259352ce56,

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

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.",

keywords = "Voronoi mosaic, grid approximation, numerical statistical simulation, particles flow, random medium, superexponential asymptotics",

author = "Михайлов, {Геннадий Алексеевич} and Лотова, {Галия Зуфаровна}",

note = "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. Публикация для корректировки.",

year = "2023",

month = dec,

doi = "10.1134/S106456242370148X",

language = "English",

volume = "108",

pages = "519--523",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium

AU - Михайлов, Геннадий Алексеевич

AU - Лотова, Галия Зуфаровна

N1 - 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. Публикация для корректировки.

PY - 2023/12

Y1 - 2023/12

N2 - 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.

AB - 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.

KW - Voronoi mosaic

KW - grid approximation

KW - numerical statistical simulation

KW - particles flow

KW - random medium

KW - superexponential asymptotics

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85187912406&origin=inward&txGid=af3f9a86077519ae0277c9c88492d33b

UR - https://www.mendeley.com/catalogue/4182f606-72ae-39f4-8e98-4943957640d6/

U2 - 10.1134/S106456242370148X

DO - 10.1134/S106456242370148X

M3 - Article

VL - 108

SP - 519

EP - 523

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 3

ER -

ID: 59800696