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Chikazumi, Shimpei*; Iwamoto, Akira
Chaos, Solitons and Fractals, 23(1), p.73 - 78, 2005/01
Times Cited Count：0 Percentile：0.02(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.
Chikazumi, Shimpei*; Iwamoto, Akira
Physical Review C, 65(6), p.067601_1 - 067601_4, 2002/06
Times Cited Count：3 Percentile：21.71(Physics, Nuclear)no abstracts in English
Chikazumi, Shimpei*; Maruyama, Toshiki; Chiba, Satoshi; Niita, Koji*; Iwamoto, Akira
Physical Review C, 63(2), p.024602_1 - 024602_10, 2001/02
Times Cited Count：20 Percentile：74.2(Physics, Nuclear)no abstracts in English
Chikazumi, Shimpei*; Maruyama, Toshiki; Niita, Koji*; Iwamoto, Akira
Physics Letters B, 476(3-4), p.273 - 278, 2000/03
Times Cited Count：10 Percentile：52.34(Astronomy & Astrophysics)no abstracts in English
