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The percolation threshold in systems of permeable ellipses

Published online by Cambridge University Press:  13 February 2008

M. Ambrožič
M. Ambrožič*
Affiliation:
Jožef Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
*
[email protected]
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Abstract

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.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 41 , Issue 2 , February 2008 , pp. 121 - 127
Copyright
© EDP Sciences, 2008

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