https://doi.org/10.1051/epjap:2008017
The percolation threshold in systems of permeable ellipses
Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
Corresponding author: milan.ambrozic@ijs.si
Received:
16
October
2007
Revised:
13
November
2007
Accepted:
12
December
2007
Published online:
13
February
2008
The two-dimensional percolation problem with elliptical objects was studied theoretically using Monte Carlo simulation. The percolation-threshold number of ellipses was compared for the lattice model and the random-position (continuum) model, and a semi-lattice model was also introduced as a bridge between the two limiting models. The results showed a gradual transition from the lattice model to the random-position model when the positional disorder of the particles was increased. A similar transition was observed when the lattice was refined and the site-occupation probability was simultaneously decreased.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, 2008
