The study of time dependence of particle flux with multiplication in a random medium

Galiya Z. Lotova; Guennady A. Mikhailov

doi:10.1515/rnam-2020-0002

The study of time dependence of particle flux with multiplication in a random medium

Galiya Z. Lotova, Guennady A. Mikhailov

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

1 Citation (Scopus)

Abstract

Algorithms of Monte Carlo method for estimating probabilistic moments of the parameter of time exponential asymptotics of particle flux with multiplication in a random medium are constructed. It was analytically and numerically shown that the asymptotics of the mean number of particles is close to an exponential one with the factor containing a summand proportional to square of time.

Original language	English
Pages (from-to)	11-20
Number of pages	10
Journal	Russian Journal of Numerical Analysis and Mathematical Modelling
Volume	35
Issue number	1
DOIs	https://doi.org/10.1515/rnam-2020-0002
Publication status	Published - 1 Feb 2020

Keywords

mean number of particles
Monte Carlo method
probability of supercriticality
statistical homogenization
transport theory
weight modifications

Access to Document

10.1515/rnam-2020-0002

Link to publication in Scopus

Fingerprint Dive into the research topics of 'The study of time dependence of particle flux with multiplication in a random medium'. Together they form a unique fingerprint.

Cite this

@article{3036797075394a27969e1657d0cafeee,

title = "The study of time dependence of particle flux with multiplication in a random medium",

abstract = "Algorithms of Monte Carlo method for estimating probabilistic moments of the parameter of time exponential asymptotics of particle flux with multiplication in a random medium are constructed. It was analytically and numerically shown that the asymptotics of the mean number of particles is close to an exponential one with the factor containing a summand proportional to square of time.",

keywords = "mean number of particles, Monte Carlo method, probability of supercriticality, statistical homogenization, transport theory, weight modifications",

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

year = "2020",

month = feb,

day = "1",

doi = "10.1515/rnam-2020-0002",

language = "English",

volume = "35",

pages = "11--20",

journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",

issn = "0927-6467",

publisher = "Walter de Gruyter GmbH",

number = "1",

}

TY - JOUR

T1 - The study of time dependence of particle flux with multiplication in a random medium

AU - Lotova, Galiya Z.

AU - Mikhailov, Guennady A.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - Algorithms of Monte Carlo method for estimating probabilistic moments of the parameter of time exponential asymptotics of particle flux with multiplication in a random medium are constructed. It was analytically and numerically shown that the asymptotics of the mean number of particles is close to an exponential one with the factor containing a summand proportional to square of time.

AB - Algorithms of Monte Carlo method for estimating probabilistic moments of the parameter of time exponential asymptotics of particle flux with multiplication in a random medium are constructed. It was analytically and numerically shown that the asymptotics of the mean number of particles is close to an exponential one with the factor containing a summand proportional to square of time.

KW - mean number of particles

KW - Monte Carlo method

KW - probability of supercriticality

KW - statistical homogenization

KW - transport theory

KW - weight modifications

UR - http://www.scopus.com/inward/record.url?scp=85081116407&partnerID=8YFLogxK

U2 - 10.1515/rnam-2020-0002

DO - 10.1515/rnam-2020-0002

M3 - Article

AN - SCOPUS:85081116407

VL - 35

SP - 11

EP - 20

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 1

ER -