Continuum percolation threshold for interpenetrating squares and cubes.

  title={Continuum percolation threshold for interpenetrating squares and cubes.},
  author={Don R. Baker and Gerald Paul and Sameet Sreenivasan and Harry Eugene Stanley},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={66 4 Pt 2},
  • D. BakerG. Paul H. Stanley
  • Published 11 March 2002
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Monte Carlo simulations are performed to determine the critical percolation threshold for interpenetrating square objects in two dimensions and cubic objects in three dimensions. Simulations are performed for two cases: (i) objects whose edges are aligned parallel to one another and (ii) randomly oriented objects. For squares whose edges are aligned, the critical area fraction at the percolation threshold phi(c)=0.6666+/-0.0004, while for randomly oriented squares phi(c)=0.6254+/-0.0002, 6… 

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A: Math

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Here Nc = ηc because the object



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    • ͑1982͒. ͓9͔ P.L. Leath
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    Earth Planet. Sci. Lett

    • Earth Planet. Sci. Lett

    Three different sizes of objects were used in the 3-D simulations to confirm the independence of the percolation threshold from both object and system size

      Phys. Rev. A

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