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New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media

  • Andrey Yu. Ambos , Galiya Lotova EMAIL logo and Guennady Mikhailov
Published/Copyright: June 21, 2017

Abstract

A Monte Carlo algorithm admitting parallelization is constructed for estimation of probability moments of the spectral radius of the operator of the integral equation describing transfer of particles with multiplication in a random medium. A randomized homogenization method is developed with the same aim on the base of the theory of small perturbations and diffusive approximation. Test calculations performed for a one-group spherically symmetric model system have shown a satisfactory concordance of results obtained from two models.

MSC 2010: 65C05

Award Identifier / Grant number: 15–01–08988

Funding statement: The work was supported by the Program of Fundamental Research of the Presidium of the RAS I.33II, by the Russian Foundation for Basic Research (projects no. 15–01–08988, 15–01–00894, 16–01–00530, 16–01–00145, 17–01–00823.

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Received: 2017-2-20
Accepted: 2017-3-21
Published Online: 2017-6-21
Published in Print: 2017-6-27

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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