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Journal Articles

An Observation of a nascent fractal pattern in MD simulation for a fragmentation of an fcc lattice

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.

Journal Articles

First order phase transition of expanding matter and its fragmentation

Chikazumi, Shimpei*; Iwamoto, Akira

Physical Review C, 65(6), p.067601_1 - 067601_4, 2002/06

 Times Cited Count:3 Percentile:21.5(Physics, Nuclear)

no abstracts in English

Journal Articles

Quantum molecular dynamics simulation of expanding nuclear matter and nuclear multifragmentation

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:73.87(Physics, Nuclear)

no abstracts in English

Journal Articles

QMD simulation of expanding nuclear matter

Chikazumi, Shimpei*; Maruyama, Toshiki; Niita, Koji*; Iwamoto, Akira

Physics Letters B, 476(3-4), p.273 - 278, 2000/03

 Times Cited Count:10 Percentile:51.94(Astronomy & Astrophysics)

no abstracts in English

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