Universal mass ratios of non-unique spanning clusters in percolation

Parongama Sen, Amnon Aharony

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume8
Issue number5
DOIs
StatePublished - Oct 1997

Keywords

  • Fractal Dimension
  • Spanning Probabilities

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