Orientation of particle attachment and local isotropy in diffusion limited aggregation (DLA)

Chi Hang Lam, H. Kaufman, B. B. Mandelbrot

Research output: Journal article publicationJournal articleAcademic researchpeer-review

9 Citations (Scopus)


We simulate 50 off-lattice diffusion limited aggregation (DLA) clusters of one million particles each. The probability distribution of the angle of attachment of arriving particles with respect to the local radial direction is obtained numerically. For increasing cluster size N, the distribution crosses over extremely accurately to a cosine with an amplitude which decreases towards zero as a power-law in N. From this specific viewpoint, asymptotically large DLA clusters are locally isotropic.
Original languageEnglish
Article number002
JournalJournal of Physics A: General Physics
Issue number7
Publication statusPublished - 1 Dec 1995

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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