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Dynamical Behavior of Fractal Clusters via Aggregation and Evaporation Processes

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Cooperative Dynamics in Complex Physical Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 43))

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Abstract

Reversible diffusion-limited aggregation (RDLA) model proposed by BOTET et al. [1] is considered to discuss the dynamical properties of the configuration of fractal clusters. RDLA model is defined as follows: We prepare a loopless cluster composed of N particles. One particle linked to the rest of the cluster by only one bond, which will be called a tip hereafter, is chosen randomly and its unique bond is broken. This particle random-walks in a d-dimensional space, following the trajectory with a fractal dimension dw, until it sticks to the cluster again. This procedure is iterated. The configuration of the cluster is effectively characterized by the radius of gyration, R. The sample average of the radius of gyration approaches asymptotically, with iterative steps, an equilibrium value independent of the initial conditions.

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References

  1. R. Botet and R. Jullien: Phys. Rev. Lett. 55, 1943 (1985)

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  2. K. Honda, H.Toyoki and M. Matsushita: J. Phys. Soc. Jon. 57, 1186 (1988)

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  3. R. Rammal, G. Toulouse and M. A. Virasoro: Rev. Mod. Phys. 58, 765 (1986)

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Nagoya University, Nagoya, 464-01, Japan

    K. Honda

  2. Research Institute of Electrical Communication, Tohoku University, Sendai, 980, Japan

    Y. Hayakawa

  3. Department of Physics, Chuo University, Kasuga, Bunkyo-ku, Tokyo, 112, Japan

    M. Matsushita

Authors
  1. K. Honda
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  2. Y. Hayakawa
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  3. M. Matsushita
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Editor information

Editors and Affiliations

  1. Research Institute for Fundamental Physics, (Yukawa Hall), Kyoto University, Kyoto, 606, Japan

    Hajime Takayama

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© 1989 Springer-Verlag Berlin, Heidelberg

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Honda, K., Hayakawa, Y., Matsushita, M. (1989). Dynamical Behavior of Fractal Clusters via Aggregation and Evaporation Processes. In: Takayama, H. (eds) Cooperative Dynamics in Complex Physical Systems. Springer Series in Synergetics, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74554-6_29

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  • DOI: https://doi.org/10.1007/978-3-642-74554-6_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-74556-0

  • Online ISBN: 978-3-642-74554-6

  • eBook Packages: Springer Book Archive

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