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Improved kinetic renormalisation group approach to diffusion-limited aggregation

Publication ,  Journal Article
Wang, XR; Shapir, Y; Rubinstein, M
Published in: Journal of Physics A: General Physics
1989

An improved kinetic renormalisation group approach to diffusion-limited aggregation is presented. This approach is based on the growth process itself and accounts for the dispersity in the growth probabilities. It yields the multifractal spectrum D(q) with better values at smaller q. On the 2D square lattice the authors find D f =1.694 for the fractal dimensions of the cluster and that of its interface, and D(1)=1.01 for the information dimension. The former agrees with the simulation results (D f approximately=1.70) and the latter compares very well with the exact value D(1)=1.

Duke Scholars

Published In

Journal of Physics A: General Physics

DOI

ISSN

0305-4470

Publication Date

1989

Related Subject Headings

  • Mathematical Physics
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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Wang, X. R., Shapir, Y., & Rubinstein, M. (1989). Improved kinetic renormalisation group approach to diffusion-limited aggregation. Journal of Physics A: General Physics. https://doi.org/10.1088/0305-4470/22/11/010
Wang, X. R., Y. Shapir, and M. Rubinstein. “Improved kinetic renormalisation group approach to diffusion-limited aggregation.” Journal of Physics A: General Physics, 1989. https://doi.org/10.1088/0305-4470/22/11/010.
Wang XR, Shapir Y, Rubinstein M. Improved kinetic renormalisation group approach to diffusion-limited aggregation. Journal of Physics A: General Physics. 1989;
Wang, X. R., et al. “Improved kinetic renormalisation group approach to diffusion-limited aggregation.” Journal of Physics A: General Physics, 1989. Manual, doi:10.1088/0305-4470/22/11/010.
Wang XR, Shapir Y, Rubinstein M. Improved kinetic renormalisation group approach to diffusion-limited aggregation. Journal of Physics A: General Physics. 1989;

Published In

Journal of Physics A: General Physics

DOI

ISSN

0305-4470

Publication Date

1989

Related Subject Headings

  • Mathematical Physics
  • 02 Physical Sciences
  • 01 Mathematical Sciences