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We study continuum percolation of overlapping circular discs of two sizes. Wepropose a phenomenological scaling equation for the increase in the effectivesize of the larger discs due to the presence of the smaller discs. The criticalpercolation threshold as a function of the ratio of sizes of discs, fordifferent values of the relative areal densities of two discs, can be describedin terms of a scaling function of only one variable. The recent accurate MonteCarlo estimates of critical threshold by Quintanilla and Ziff [Phys. Rev. E, 76051115 (2007)] are in very good agreement with the proposed scaling relation.

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