Percolation of disordered jammed sphere packings

  title={Percolation of disordered jammed sphere packings},
  author={Robert M. Ziff and Salvatore Torquato},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • R. ZiffS. Torquato
  • Published 1 November 2016
  • Physics
  • Journal of Physics A: Mathematical and Theoretical
We determine the site and bond percolation thresholds for a system of disordered jammed sphere packings in the maximally random jammed state, generated by the Torquato–Jiao algorithm. For the site threshold, which gives the fraction of conducting versus non-conducting spheres necessary for percolation, we find pc=0.3116(3), consistent with the 1979 value of Powell 0.310(5) and identical within errors to the threshold for the simple-cubic lattice, 0.311 608, which shares the same average… 

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