PMID: 15244783Jul 13, 2004Paper

Particle-cluster aggregation on a small-world network

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sheng-You HuangZhun-Zhi Jin

Abstract

To describe the aggregation behaviors on substrates with long-range jump paths, a model of particle-cluster aggregation on a two-dimensional small-world network is presented. This model is characterized by two parameters: the clustering exponent alpha and the long-range connection rate phi. The results show that there exists an asymptotic fractal dimension D(max)(f) that depends upon alpha. With decrement of alpha, D(max)(f) varies from 1.7 to 2.0, which corresponds to a crossover from diffusion-limited-aggregation-like to dense growth. The change of the aggregation pattern results from the long-range connection in the network, which reduces the effect of screening during the aggregation. When the system size is not large enough, the effective fractal dimension D(f) depends upon phi because of the finite-size effect. With primitive analysis, we obtain the expression of the effective fractal dimension D(f) with the network parameters alpha and phi.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Jan 9, 1995·Physical Review Letters· Cowell Senft D, G Ehrlich
Sep 6, 2000·Nature·J M Kleinberg
Oct 13, 2000·Physical Review Letters·B Davidovitch, I Procaccia
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Z J TanZ Z Jin
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·B Kol, A Aharony
Dec 2, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S Jespersen, A Blumen
Dec 2, 2000·Physical Review Letters·M Filoche, B Sapoval
Feb 15, 2001·Physical Review Letters·A E González
Mar 22, 2001·Nature·S H Strogatz
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F Jasch, A Blumen
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F GutheimE Brener
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V A Bogoyavlenskiy
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B Kol, A Aharony
May 1, 2001·Physical Review Letters·M WangN B Ming
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F Jasch, A Blumen
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E J NewmanR M Ziff
Apr 17, 2002·Physical Review Letters·M SchunackF Besenbacher
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Z J TanZ Z Jin
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M E Newman, D J Watts
May 15, 2002·Physical Review Letters·C BréchignacUzi Landman
Sep 13, 2002·Physical Review Letters·R C Ball, E Somfai
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Parongama SenTurbasu Biswas
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sheng-You HuangZhun-Zhi Jin
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sheng-You HuangZhun-Zhi Jin

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