Continuum percolation with discs having a distribution of radii

Phani, M. K. ; Dhar, D. (1984) Continuum percolation with discs having a distribution of radii Journal of Physics A: Mathematical and General, 17 (12). L645-L649. ISSN 0305-4470

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Official URL: http://iopscience.iop.org/0305-4470/17/12/004

Related URL: http://dx.doi.org/10.1088/0305-4470/17/12/004

Abstract

It is shown that for continuum percolation with overlapping discs having a distribution of radii, the net areal density of discs at percolation threshold depends non-trivially on the distribution, and is not bounded by any finite constant. Results of a Monte Carlo simulation supporting the argument are presented.

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