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Phys. Rev. A 39, 4345–4347 (1989)

Apparent independency of an aggregation system with injection

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Misako Takayasu
Department of Earth Sciences, Kobe University, Kobe 657, Japan

Hideki Takayasu
Department of Earth Sciences, Kobe University, Kobe 657, Japan
Applied Physics, Yale University, New Haven, Connecticut 06520-2157

Received 25 January 1989; published in the issue dated April 1989

We investigate the spatial correlation of a model of aggregation system with injection. This system is characterized by a single point on the f-α diagram (f=1,α=3) which is identical to the case of independent power-law distributions. The R/S analysis also shows no dependency. However, theoretically there exists a higher-order correlation which is difficult to detect but strong eneough to modify the exponent of mass distribution.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.39.4345
DOI:
10.1103/PhysRevA.39.4345
PACS:
02.50.+s, 05.40.+j