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 language | English (US) |
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Article number | 016 |
Pages (from-to) | 1431-1438 |
Number of pages | 8 |
Journal | Journal of Physics A: General Physics |
Volume | 23 |
Issue number | 8 |
DOIs | |
State | Published - 1990 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- General Physics and Astronomy
- Mathematical Physics