Oriented bond percolation

J. Kertesz, T. Vicsec

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

Percolation with bonds oriented along an external field direction is considered. Assuming that the second-order type phase transition picture can be applied in the vicinity of the critical point the threshold probability and the correlation length exponent nu 0 is calculated on the square lattice by Monte Carlo techniques using finite-size scaling arguments. It is found that nu 0=1.65+or-0.06, i.e. the orientated percolation belongs to a different university class from the unorientated one. The critical probabilities for several two-dimensional lattices are determined.

Original languageEnglish
Article number001
Pages (from-to)L343-L348
JournalJournal of Physics C: Solid State Physics
Volume13
Issue number14
DOIs
Publication statusPublished - Dec 1 1980

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)
  • Physics and Astronomy(all)

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