TY - JOUR

T1 - New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media

AU - Ambos, Andrey Yu

AU - Lotova, Galiya

AU - Mikhailov, Guennady

PY - 2017/6/27

Y1 - 2017/6/27

N2 - 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.

AB - 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.

KW - effective multiplication factor

KW - Monte Carlo method

KW - probability distribution

KW - radiative transfer.

KW - Statistical modelling

UR - http://www.scopus.com/inward/record.url?scp=85021384857&partnerID=8YFLogxK

U2 - 10.1515/rnam-2017-0014

DO - 10.1515/rnam-2017-0014

M3 - Article

AN - SCOPUS:85021384857

VL - 32

SP - 165

EP - 172

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 3

ER -