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arXiv · 1301.6006

Quasiuniversal connectedness percolation of polydisperse rod systems

Biagio Nigro·Claudio Grimaldi·Peter Ryser·Avik P. Chatterjee·Paul van der Schoot
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Abstract

The connectedness percolation threshold (eta_c) and critical coordination number (Z_c) of systems of penetrable spherocylinders characterized by a length polydispersity are studied by way of Monte Carlo simulations for several aspect ratio distributions. We find that (i) η_c is a nearly universal function of the weight-averaged aspect ratio, with an approximate inverse dependence that extends to aspect ratios that are well below the slender rod limit and (ii) that percolation of impenetrable spherocylinders displays a similar quasiuniversal behavior. For systems with a sufficiently high degree of polydispersity, we find that Z_c can become smaller than unity, in analogy with observations reported for generalized and complex networks.

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Biagio Nigro, Claudio Grimaldi, Peter Ryser, Avik P. Chatterjee, Paul van der Schoot. 2013-01-25. Quasiuniversal connectedness percolation of polydisperse rod systems. https://doi.org/10.1103/physrevlett.110.015701

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