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APS » Journals » Phys. Rev. Lett. » Volume 52 » Issue 17
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Phys. Rev. Lett. 52, 1465–1468 (1984)

Percolation Thresholds in the Three-Dimensional Sticks System

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I. Balberg* and N. Binenbaum
RCA Laboratories, Princeton, New Jersey 08540

N. Wagner
The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel

Received 18 October 1983; published in the issue dated 23 April 1984

We report the dependence of the percolation threshold of the three-dimensional sticks systems on aspect ratio and on macroscopic anisotropy. This Monte Carlo study is the first determination of percolation thresholds for randomly oriented objects in three-space. The results show that the above dependence is determined by the excluded volume of the sticks. However, the total excluded volume of randomly oriented objects is lower than that of the same objects in parallel alignment.

© 1984 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.52.1465
DOI:
10.1103/PhysRevLett.52.1465
PACS:
05.40.+j, 05.70.Jk, 71.30.+h

*Permanent address: The Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.

 
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