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Finite-size effects in two-dimensional continuum percolation

Boudville, W. J. and McGill, T. C. (1989) Finite-size effects in two-dimensional continuum percolation. Physical Review B, 39 (1). pp. 369-374. ISSN 0163-1829. http://resolver.caltech.edu/CaltechAUTHORS:BOUprb89

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Abstract

We have investigated the finite-size effects of anisotropic continuum percolation in two dimensions. The elements that percolate are widthless sticks. We have developed a simple theory to explain the dependence of longitudinal and transverse critical lengths on anisotropy and the finite number of sticks in the sample. By comparing the theory to simulations, we find good agreement.


Item Type:Article
Additional Information:©1989 The American Physical Society Received 17 June 1988 We would like to gratefully acknowledge the support of the Office of Naval Research under Contract No. N00014-84-K-0501. One of us (W.J.B.) is the recipient of support from the IBM Corporation.
Record Number:CaltechAUTHORS:BOUprb89
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BOUprb89
Alternative URL:http://dx.doi.org/10.1103/PhysRevB.39.369
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6535
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:12 Dec 2006
Last Modified:26 Dec 2012 09:22

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