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

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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 languageEnglish
Pages (from-to)11-20
Number of pages10
JournalRussian Journal of Numerical Analysis and Mathematical Modelling
Volume35
Issue number1
DOIs
Publication statusPublished - 1 Feb 2020

Keywords

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

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