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

  • Galiya Z. Lotova EMAIL logo and Guennady A. Mikhailov

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.

MSC 2010: 65Z05
  1. Funding: The work was performed under the State Assignment of ICMMG SB RAS (project No. 0315–2019–0002 (Sections 13)), was partly supported by the Russian Foundation for Basic Research (projects No. 18–01–00599, 18–01–00356 (Sections 46)).

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Received: 2019-10-31
Accepted: 2019-12-13
Published Online: 2020-02-02
Published in Print: 2020-02-25

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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