The trapping transition in dynamic (invasion) and static percolation

Martin Pokorny, Charles Newman, Daniel Meiron

Research output: Contribution to journalArticle

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 p t > 1/2 which determines the fractal behaviour of invasion percolation with trapping. The numerical results are that pt ≈ 0.520 and the critical exponents are those (y = 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)
Pages (from-to)1431-1438
Number of pages8
JournalJournal of Physics A: Mathematical and General
Volume23
Issue number8
DOIs
StatePublished - Apr 21 1990

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Invasion Percolation
Invasion
Trapping
Fractals
trapping
Critical Exponents
Universality
Fractal
Monte Carlo Simulation
Numerical Results
fractals
exponents
Monte Carlo simulation
simulation
Class
Standards

ASJC Scopus subject areas

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

Cite this

The trapping transition in dynamic (invasion) and static percolation. / Pokorny, Martin; Newman, Charles; Meiron, Daniel.

In: Journal of Physics A: Mathematical and General, Vol. 23, No. 8, 21.04.1990, p. 1431-1438.

Research output: Contribution to journalArticle

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