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On the critical density for continuum percolation of spheres of variable radii

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  • Dhar, Deepak

Abstract

We propose an approximate formula to determine the critical percolation density for continuum percolation of non-interacting spheres when the radii of spheres are also random variables. We conjecture that this gives a strict lower bound to the critical density for all distributions of radii.

Suggested Citation

  • Dhar, Deepak, 1997. "On the critical density for continuum percolation of spheres of variable radii," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(3), pages 341-346.
    • Handle: RePEc:eee:phsmap:v:242:y:1997:i:3:p:341-346
    DOI: 10.1016/S0378-4371(97)00287-2
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    Cited by:

    1. Lin, Jianjun & Chen, Huisu & Liu, Lin & Zhang, Rongling, 2020. "Impact of particle size ratio on the percolation thresholds of 2D bidisperse granular systems composed of overlapping superellipses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).

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