• Ajit C Balram

      Articles written in Pramana – Journal of Physics

    • Scaling relation for determining the critical threshold for continuum percolation of overlapping discs of two sizes

      Ajit C Balram Deepak Dhar

      More Details Abstract Fulltext PDF

      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.

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