Fractal geometries in decay models

J. R. Banavar, M. Muthukumar, J. F. Willemsen

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


Results of computer studies of the geometries produced by two distinct decay models are present. While one of the models (diffusion-limited decay) results in compact clusters, the other (random-walk decay) produces ramified clusters with the Hausdorf dimension (df) equal to 1.75+or-0.03 and 2.34+or-0.03 in two and three dimensions respectively. The spectral dimension (ds) is found to be 1.68+or-0.13 and 1.31+or-0.04 for d=2 and 3.

Original languageEnglish (US)
Article number017
Pages (from-to)61-65
Number of pages5
JournalJournal of Physics A: General Physics
Issue number1
StatePublished - Dec 1 1985
Externally publishedYes

ASJC Scopus subject areas

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


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