Continuum percolation threshold for interpenetrating squares and cubes.

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% smaller. For cubes whose edges are aligned, the critical volume fraction at the percolation threshold phi(c)=0.2773+/-0.0002, while for randomly oriented cubes phi(c)=0.2168+/-0.0002, 22% smaller.

• Publication year

  2002

• Venue

  Physical review. E, Statistical, nonlinear, and soft matter physics

• Publication date

  2002-03-11

• Fields of study

  Mathematics, Materials Science, Physics, Medicine

• Identifiers
  DOI 10.1103/PhysRevE.66.046136arXiv cond-mat/0203235PMID 12443288
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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