Balram, Ajit C. ; Dhar, Deepak (2010) Scaling relation for determining the critical threshold for continuum percolation of overlapping discs of two sizes Pramana - Journal of Physics, 74 (1). pp. 109-114. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/pramana/v74/p109/fulltext.pdf
Abstract
We study continuum percolation of overlapping circular discs of two sizes. We propose a phenomenological scaling equation for the increase in the effective size of the larger discs due to the presence of the smaller discs. The critical percolation threshold as a function of the ratio of sizes of discs, for different values of the relative areal densities of two discs, can be described in terms of a scaling function of only one variable. The recent accurate Monte Carlo estimates of critical threshold by Quintanilla and Ziff [Phys. Rev. E76, 051115 (2007)] are in very good agreement with the proposed scaling relation.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Continuum Percolation; Overlapping Discs; Critical Percolation Threshold |
ID Code: | 82196 |
Deposited On: | 10 Feb 2012 04:17 |
Last Modified: | 18 May 2016 23:29 |
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