Quasiuniversal connectedness percolation of polydisperse rod systems

B. Nigro, C. Grimaldi, P. Ryser, A.P. Chatterjee, P.P.A.M. Schoot, van der

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The connectedness percolation threshold (¿c) and critical coordination number (Zc) 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) ¿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 Zc can become smaller than unity, in analogy with observations reported for generalized and complex networks.
Original languageEnglish
Article number015701
Pages (from-to)015701-1/5
JournalPhysical Review Letters
Issue number1
Publication statusPublished - 2013


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