Advertisement

Dynamical Behavior of Fractal Clusters via Aggregation and Evaporation Processes

  • K. Honda
  • Y. Hayakawa
  • M. Matsushita
Conference paper
Part of the Springer Series in Synergetics book series (SSSYN, volume 43)

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.

References

  1. 1.
    R. Botet and R. Jullien: Phys. Rev. Lett. 55, 1943 (1985)CrossRefADSGoogle Scholar
  2. 2.
    K. Honda, H.Toyoki and M. Matsushita: J. Phys. Soc. Jon. 57, 1186 (1988)CrossRefADSGoogle Scholar
  3. 3.
    R. Rammal, G. Toulouse and M. A. Virasoro: Rev. Mod. Phys. 58, 765 (1986)CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    C. P. Bachas and B. A. Huberman: J. Phys. A20, 4995 (1987)ADSMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • K. Honda
    • 1
  • Y. Hayakawa
    • 2
  • M. Matsushita
    • 3
  1. 1.Department of Applied PhysicsNagoya UniversityNagoyaJapan
  2. 2.Research Institute of Electrical CommunicationTohoku UniversitySendaiJapan
  3. 3.Department of PhysicsChuo UniversityBunkyo-ku, TokyoJapan

Personalised recommendations