Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon

Phys. Rev. Lett. 47, 1400 – Published 9 November 1981
T. A. Witten, Jr. and L. M. Sander

Abstract

A model for random aggregates is studied by computer simulation. The model is applicable to a metal-particle aggregation process whose correlations have been measured previously. Density correlations within the model aggregates fall off with distance with a fractional power law, like those of the metal aggregates. The radius of gyration of the model aggregates has power-law behavior. The model is a limit of a model of dendritic growth.

DOI: http://dx.doi.org/10.1103/PhysRevLett.47.1400

  • Received 31 August 1981
  • Published in the issue dated 9 November 1981

© 1981 The American Physical Society

Authors & Affiliations

T. A. Witten, Jr.*

  • Groupe de Physique de la Matière Condensée, Collège de France, F-75231 Paris, France

L. M. Sander

  • Physics Department, University of Michigan, Ann Arbor, Michigan 48109

  • *Permanent address: Physics Department, University of Michigan, Ann Arbor, Mich. 48109.

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