Universal mass ratios of non-unique spanning clusters in percolation

Parongama Sen, Amnon Aharony

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We find that when two or more spanning clusters exist at the percolation threshold, the mass of each scales with the same fractal dimension D = 1.89 in two dimensions and D = 2.53 in three dimensions. We also determine the ratios of the masses of the spanning clusters. In two dimensions, this is done for different lattices of different shapes. In the case of two spanning clusters, the ratio of the larger spanning cluster to the smaller lies around 1.4 for two dimensions, almost independent of lattice structure and shape.

Original languageEnglish
Pages (from-to)1169-1173
Number of pages5
JournalInternational Journal of Modern Physics C
Issue number5
StatePublished - 1 Jan 1997
Externally publishedYes


  • Fractal Dimension
  • Spanning Probabilities

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy (all)
  • Computer Science Applications
  • Computational Theory and Mathematics


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