DETERMINATION OF PERCOLATION THRESHOLDS FOR THE CORRELATED CONTINUUM PERCOLATION MODEL

We measure the percolation thresholds for continuum percolation consis ting of the equi-sized particles of the penetrable-concentric-shell (P CS) model. The PCS model consists of the totally impenetrable particle s of diameter lambda sigma encompassed by fully penetrable shells of t hickness sigma(1-lambda)/2, where lambda = 0 corresponds to the penetr able sphere model and lambda = 1 yields the hard sphere model. We conf irm the universality of such a model and estimate, by Monte Carlo reno rmalization calculations the percolation thresholds for various values of the impenetrability parameter lambda. Accurate estimates indicate that the percolation transition occurs at the lowest density for lambd a between 0.6 and 0.7.