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Journal Articles

Effect of $$beta$$ on effective multiplication factor in 1/f$$^{beta}$$ spectrum random system

Araki, Shohei; Yamane, Yuichi; Ueki, Taro; Tonoike, Kotaro

Proceedings of International Conference on the Physics of Reactors; Transition To A Scalable Nuclear Future (PHYSOR 2020) (USB Flash Drive), 8 Pages, 2020/03

We investigated the $$beta$$ dependence of the effective multiplication factor (k$$_{rm eff}$$) in the 1/f$$^{beta}$$ noise model. We conducted the two-group Monte Carlo calculations. We found that the standard deviation of the k$$_{rm eff}$$ distribution showed the positive correlation with the $$beta$$ value because the spatial distribution of the fuel became less uniform as the $$beta$$ value increased.

Oral presentation

Exponent dependency of neutron multiplication factor distribution in system randomized with $$1/f^{beta}$$ frequency spectrum

Araki, Shohei; Yamane, Yuichi; Ueki, Taro; Tonoike, Kotaro

no journal, , 

We investigated the effect of the degree of randomness on the distribution of neutron multiplication factors ($$k_{eff}$$) calculated for fuel debris for the purpose of criticality risk assessment. The calculation results with the model randomized with $$1/f^{beta}$$ frequency spectrum showed a positive correlation between the exponent $$beta$$ and variance of the ($$k_{eff}$$) distribution.

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