FRACTAL AGGREGATION ON SMALL-WORLD NETWORKS WITH LONG-RANGE DEPOSITION

Ren-Fei Wang, Sheng-Jun Wang and Zi-Gang Huang
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Ren-Fei Wang: School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710062, P. R. China
Sheng-Jun Wang: School of Physics and Information Technology, Shaanxi Normal University, Xi’an 710062, P. R. China
Zi-Gang Huang: ��School of Life Science and Technology, Xi’an Jiaotong University, Xi’an 710049, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-6

Abstract: A model of particle-cluster aggregation on the rewired small-world network is studied. In this model, particles can adjoin to the end of the rewired long-range edges. The rewired long-range edge is controlled by two parameters, the reconnecting probability and distance controlling parameter. The simulation results indicate that, with the increasing of the length and the number of rewired long-range edges, the patterns become diffuse and the fractal dimensions of the aggregates decrease. The range of the value of dimension and the feature of patterns obtained in the model are consistent with the amyloid deposits.

Keywords: Fractal; Aggregate; Small-World Network; DLA (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21500523

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