Multifractality of space-filling bearings and Apollonian packings

S. S. Manna, T. Vicsek

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We study the structure of space-filling bearings (SFB) and Apollonian packings (AP) by determining the scaling behavior of the density distribution of points where the circles touch each other. Application of the sand box method to the average of the qth power of the number of touching points reveals the multifractal aspects of the structure of SFB and AP.

Original languageEnglish
Pages (from-to)525-539
Number of pages15
JournalJournal of Statistical Physics
Volume64
Issue number3-4
DOIs
Publication statusPublished - Aug 1 1991

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Keywords

  • Apollonian packing
  • Fractals
  • multifractals
  • space-filling bearings

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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