Phys. Rev. A 43, 6604–6612 (1991)Analytic derivation of percolation thresholds in anisotropic systems of permeable objectsReceived 15 October 1990; published in the issue dated June 1991 We present a systematic derivation of the percolation thresholds in anisotropic systems composed of permeable elongated boxes. The analytic calculation is based on an order-by-order diagrammatic expansion of the pair-connectedness function. A comparison of the results with those of Monte Carlo simulations shows excellent quantitative agreement. We conclude that, of the analytic methods suggested thus far, the present approach is the most suitable one for quantitative derivation of system properties in continuum percolation. © 1991 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.43.6604
DOI:
10.1103/PhysRevA.43.6604
PACS:
64.60.Ak
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