The trapping transition in dynamic (invasion) and static percolation

M. Pokorny, C. M. Newman, D. Meiron

Research output: Contribution to journalArticlepeer-review

Abstract

For standard 2D bond percolation, the size of regions trapped by the infinite occupied cluster at bond density p is studied by Monte Carlo simulations. It is known that there is a transition at some density pt>1/2 which determines the fractal behaviour of invasion percolation with trapping. The numerical results are that pt approximately=0.520 and the critical exponents are those (( gamma =43/18 and v=4/3) of the usual percolation transition at pc=1/2. Thus invasion percolation with trapping does not appear to belong to a new universality class.

Original languageEnglish (US)
Article number016
Pages (from-to)1431-1438
Number of pages8
JournalJournal of Physics A: General Physics
Volume23
Issue number8
DOIs
StatePublished - 1990

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

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