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Diffusion-limited aggregation with Eden growth surface kinetics

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  • Batchelor, M.T.
  • Henry, B.I.

Abstract

The diffusion-limited aggregation (DLA) model has been generalized to include homogeneous Eden growth surface kinetics. On-lattice simulations are compared with theory in the deterministic zero-noise limit. As the cluster grows, for a fixed value of the surface kinetics parameter Γ, there is a crossover from compact Eden growth to dendritic DLA growth. Larger Eden clusters are obtained at larger values of Γ. A theoretical analysis based on conformal mapping techniques provides a good description of this behaviour.

Suggested Citation

  • Batchelor, M.T. & Henry, B.I., 1994. "Diffusion-limited aggregation with Eden growth surface kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 203(3), pages 566-582.
    • Handle: RePEc:eee:phsmap:v:203:y:1994:i:3:p:566-582
    DOI: 10.1016/0378-4371(94)90015-9
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    References listed on IDEAS

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    1. Block, G. & Rosenberger, W.F. & Patterson, B.H., 1988. "Calories, fat and cholesterol: Intake patterns in the US population by race, sex and age," American Journal of Public Health, American Public Health Association, vol. 78(9), pages 1150-1155.
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    Cited by:

    1. Salcedo-Sanz, S. & Cuadra, L., 2019. "Hybrid L-systems–Diffusion Limited Aggregation schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 592-605.

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