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Ueki, Taro
Nuclear Science and Engineering, 195(2), p.214 - 226, 2021/02
Times Cited Count：9 Percentile：65.08(Nuclear Science & Technology)A dynamical system under extreme physical disorder has the tendency of evolving toward the equilibrium state characterized by an inverse power law power spectrum. In this paper, a practically implementable three-dimensional model is proposed for the random media formed by multi-materials mixture under such a power spectrum using a randomized form of Weierstrass function, its extension covering the white noise, and partial volumes pairings of constituent materials. The proposed model is implemented in the SOLOMON Monte Carlo solver with delta tracking. Two sets of numerical results are shown using the JENDL-4 nuclear data libraries.
Ueki, Taro
Proceedings of International Conference on Mathematics and Computational Methods applied to Nuclear Science and Engineering (M&C 2019) (CD-ROM), p.151 - 160, 2019/00
A dynamical system under extreme physical disorder has the tendency of evolving toward the equilibrium state characterized by an inverse power law spectrum. In this paper, the author proposes a practically implementable modeling of random media under such a spectrum using a randomized form of the Weierstrass function. The proposed modeling is demonstrated by the continuous energy Monte Carlo particle transport with delta tracking for the criticality calculation of a randomized version of the Topsy spherical core in International Criticality Safety Benchmark Evaluation Project.
Chikazumi, Shimpei*; Iwamoto, Akira
Chaos, Solitons and Fractals, 23(1), p.73 - 78, 2005/01
Times Cited Count：1 Percentile：11.42(Mathematics, Interdisciplinary Applications)To seek for a possible origin of fractal pattern in nature, we perform a molecular dynamics simulation for a fragmentation of an infinite fcc lattice. The fragmentation is induced by the initial condition of the model that the lattice particles have the Hubble-type radial expansion velocities. As time proceeds, the average density decreases and density fluctuation develops. By using the box counting method, it is found that the frequency-size plot of the density follows instantaneously a universal power-law for each Hubble constant up to the size of a cross-over. This cross-over size corresponds to the maximum size of fluctuation and is found to obey a dynamical scaling law as a function of time. This instantaneous generation of a nascent fractal is purely of dynamical origin and it shows us a new formation mechanism of a fractal patters different from the traditional criticality concept.
Futakawa, Masatoshi; Wakui, Takashi*; Tanabe, Yuji*; Ioka, Ikuo
Journal of Materials Research, 16(8), p.2283 - 2292, 2001/08
no abstracts in English
Takeda, Takeshi; Nakagawa, Shigeaki; Kunitomi, Kazuhiko
Proceedings of 7th International Conference on Nuclear Engineering (ICONE-7) (CD-ROM), 10 Pages, 1999/00
no abstracts in English
Iwase, Akihiro; ; Iwata, Tadao; Nihira, Takeshi*
Mat. Res. Soc. Symp. Proc., Vol. 209, p.847 - 851, 1991/00
no abstracts in English
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Iwase, Akihiro; ; Iwata, Tadao; Nihira, Takeshi*
Physica C, 174, p.321 - 328, 1991/00
Times Cited Count：8 Percentile：51.03(Physics, Applied)no abstracts in English
