Mapping functions and critical behavior of percolation on rectangular domains

Hiroshi Watanabe, Chin Kun Hu

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


The existence probability Ep and the percolation probability P of bond percolation on rectangular domains with different aspect ratios R are studied via the mapping functions between systems with different aspect ratios. The superscaling behavior of Ep and P for such systems with exponents a and b, respectively, found by Watanabe [Phys. Rev. Lett. 93, 190601 (2004)] can be understood from the lower-order approximation of the mapping functions fR and gR for Ep and P, respectively; the exponents a and b can be obtained from numerically determined mapping functions fR and gR, respectively.

Original languageEnglish
Article number041131
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Issue number4
Publication statusPublished - 2008 Oct 30
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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