Eur. Phys. J. Appl. Phys.
Volume 41, Number 2, February 2008
|Page(s)||121 - 127|
|Section||Microelectronics and Optoelectronics|
|Published online||13 February 2008|
The percolation threshold in systems of permeable ellipses
Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
Corresponding author: email@example.com
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
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