How anisotropy beats fractality in two-dimensional on-lattice diffusion-limited-aggregation growth.

@article{Grebenkov2017HowAB,
  title={How anisotropy beats fractality in two-dimensional on-lattice diffusion-limited-aggregation growth.},
  author={Denis S. Grebenkov and Dmitry Beliaev},
  journal={Physical review. E},
  year={2017},
  volume={96 4-1},
  pages={
          042159
        }
}
  • Denis S. Grebenkov, Dmitry Beliaev
  • Published 2017
  • Physics, Medicine
  • Physical review. E
  • We study the fractal structure of diffusion-limited aggregation (DLA) clusters on a square lattice by extensive numerical simulations (with clusters having up to 10^{8} particles). We observe that DLA clusters undergo strongly anisotropic growth, with the maximal growth rate along the axes. The naive scaling limit of a DLA cluster by its diameter is thus deterministic and one-dimensional. At the same time, on all scales from the particle size to the size of the entire cluster it has a… CONTINUE READING

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