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APS » Journals » Phys. Rev. A » Volume 40 » Issue 3
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Phys. Rev. A 40, 1713–1716 (1989)

Fractal dimension of the accessible perimeter of diffusion-limited aggregation

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Cettina Amitrano
Departimento di Scienze Fisiche, Università di Napoli, Mostra d’Oltremare Pad. 19, 80125 Napoli, Italy
Center for Polymer Studies

Paul Meakin
Central Research and Development Department, E.I. du Pont de Nemours Company, Experimental Station, Wilmington, Delaware 19880-0356

H. Eugene Stanley
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

Received 15 May 1989; published in the issue dated August 1989

We directly measure the fractal dimension DA of the accessible perimeter for diffusion limited aggregation. We find DA=D, where D is fractal dimension. Moreover, the number of inaccessible sites also scales as the mass of the entire aggregate, stabilizing at (36–37) % of the total perimeter after a short transient. Hence, the well-known anomalies in the multifractal analysis of the growth probability distribution are not a result of the possibility DA<D.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.40.1713
DOI:
10.1103/PhysRevA.40.1713
PACS:
68.10.Gw, 68.70.+w, 05.40.+j
 
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