Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method

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Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method. / Lotova, G. Z.; Mikhailov, G. A.

In: Numerical Analysis and Applications, Vol. 16, No. 3, 09.2023, p. 229-235.

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

BibTeX

@article{2bb8f87d82754fb7ab92d69f7e7d34ed,

title = "Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method",

abstract = "A comparative analysis of two algorithms (“by particles” and “by collisions”) for estimation of the weighted mean particle flux is made on the basis of a test problem solving for a single-speed particle propagation process with isotropic scattering and multiplication in a random medium. It is shown that the first algorithm is preferable for a simple estimation of the mean flux and the second one fits better for assessment of the parameters of a possible superexponential growth of the flux. Two models of the random medium are considered: a chaotic “Voronoi mosaic” and a “spherically layered mosaic.” For a fixed mean correlation radius, the superexponential growth turned out to be stronger for the layered mosaic.",

keywords = "Voronoi mosaic, flux of particles, random media, statistical simulation, time asymptotics",

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).",

year = "2023",

month = sep,

doi = "10.1134/S1995423923030047",

language = "English",

volume = "16",

pages = "229--235",

journal = "Numerical Analysis and Applications",

issn = "1995-4239",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method

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).

PY - 2023/9

Y1 - 2023/9

N2 - A comparative analysis of two algorithms (“by particles” and “by collisions”) for estimation of the weighted mean particle flux is made on the basis of a test problem solving for a single-speed particle propagation process with isotropic scattering and multiplication in a random medium. It is shown that the first algorithm is preferable for a simple estimation of the mean flux and the second one fits better for assessment of the parameters of a possible superexponential growth of the flux. Two models of the random medium are considered: a chaotic “Voronoi mosaic” and a “spherically layered mosaic.” For a fixed mean correlation radius, the superexponential growth turned out to be stronger for the layered mosaic.

AB - A comparative analysis of two algorithms (“by particles” and “by collisions”) for estimation of the weighted mean particle flux is made on the basis of a test problem solving for a single-speed particle propagation process with isotropic scattering and multiplication in a random medium. It is shown that the first algorithm is preferable for a simple estimation of the mean flux and the second one fits better for assessment of the parameters of a possible superexponential growth of the flux. Two models of the random medium are considered: a chaotic “Voronoi mosaic” and a “spherically layered mosaic.” For a fixed mean correlation radius, the superexponential growth turned out to be stronger for the layered mosaic.

KW - Voronoi mosaic

KW - flux of particles

KW - random media

KW - statistical simulation

KW - time asymptotics

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85171582763&origin=inward&txGid=b5a55e2b97d53f1ee082152016d6be5f

UR - https://www.mendeley.com/catalogue/046204a5-49e0-3ac6-acd5-282d08981eb6/

U2 - 10.1134/S1995423923030047

DO - 10.1134/S1995423923030047

M3 - Article

VL - 16

SP - 229

EP - 235

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 3

ER -

ID: 55508558