# Analytical approximation of the percolation threshold for overlapping ellipsoids of revolution

@article{Yi2004AnalyticalAO, title={Analytical approximation of the percolation threshold for overlapping ellipsoids of revolution}, author={Yun-Bo Yi and A. M. Sastry}, journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences}, year={2004}, volume={460}, pages={2353 - 2380} }

Analytic approximations for percolation points in two–dimensional and three–dimensional particulate arrays have been reported for only a very few, simple particle geometries. Here, an analytical approach is presented to determine the percolative properties (i.e. statistical cluster properties) of permeable ellipsoids of revolution. We generalize a series expansion technique, previously used by other authors to study arrays of spheres and cubes. Our analytic solutions are compared with Monte…

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