Diffusion-controlled aggregation in the continuum approximation

Phys. Rev. A 29, 2017 – Published 1 April 1984
R. Ball, M. Nauenberg, and T. A. Witten, Jr.

Abstract

A numerical solution and analytic approximation are obtained for the mean-field continuum equations corresponding to diffusion-controlled aggregation. For d>2 an asymptotic solution is found with the density of the cluster varying as the inverse radius, which suggests a Hausdorff dimension D=d-1.

DOI: http://dx.doi.org/10.1103/PhysRevA.29.2017

  • Received 26 October 1983
  • Published in the issue dated April 1984

© 1984 The American Physical Society

Authors & Affiliations

R. Ball

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
  • Cavendish Laboratory, Cambridge CB3 OHE, England

M. Nauenberg

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
  • School of Natural Science, University of California at Santa Cruz, Santa Cruz, California 95060

T. A. Witten, Jr.

  • Institute for Theoretical Physics, University of California, Santa Barbara, California 93106
  • Theoretical and Mathematical Sciences Laboratory, Exxon Research and Engineering Company, Annandale, New Jersey 08801

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