Lattice-induced anisotropy in a diffusion-limited growth model

F. Family, T. Vicsek, B. Taggett

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The authors have investigated the diffusion-limited aggregation process on a square lattice by solving the Laplace equation numerically. In contrast to previous models, at each time step the occupancy probability is used directly for the growth of all of the perimeter sites. They find that regardless of the initial shape of the seed particles, the final pattern of the aggregate has an anisotropic shape. They have interpreted the pronouncement of the lattice-induced anisotropy as arising from averaging of the shape fluctuations in this growth process. The values of the fractal dimension of the clusters are found to agree with the prediction of Turkevich and Scher (1985) implying that the cluster in this model have the same structure as large DLA and dielectric breakdown clusters.

Original languageEnglish
Article number006
JournalJournal of Physics A: General Physics
Volume19
Issue number12
DOIs
Publication statusPublished - 1986

Fingerprint

Growth Model
Anisotropy
anisotropy
Laplace equation
Fractal dimension
Electric breakdown
Seed
Diffusion-limited Aggregation
Agglomeration
Growth Process
Perimeter
Laplace's equation
Square Lattice
Fractal Dimension
Breakdown
Averaging
seeds
fractals
breakdown
Fluctuations

ASJC Scopus subject areas

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

Cite this

Lattice-induced anisotropy in a diffusion-limited growth model. / Family, F.; Vicsek, T.; Taggett, B.

In: Journal of Physics A: General Physics, Vol. 19, No. 12, 006, 1986.

Research output: Contribution to journalArticle

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