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- Title
New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media.
- Authors
Ambos, Andrey Yu.; Lotova, Galiya; Mikhailov, Guennady
- 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.
- Subjects
MONTE Carlo method; PARTICLE scattering functions; STOCHASTIC processes; INTEGRAL equations; RADIATIVE transfer
- Publication
Russian Journal of Numerical Analysis & Mathematical Modelling, 2017, Vol 32, Issue 3, p165
- ISSN
0927-6467
- Publication type
Article
- DOI
10.1515/rnam-2017-0014