Article (Scientific journals)
Percolation in suspensions of polydisperse hard rods: Quasi universality and finite-size effects
Meyer, Hugues; Van der Schoot, Paul; Schilling, Tanja
2015In Journal of Chemical Physics, 143 (4), p. 044901
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Keywords :
percolation; Correlation functions; Heat conduction
Abstract :
[en] We present a study of connectivity percolation in suspensions of hard spherocylinders by means of Monte Carlo simulation and connectedness percolation theory. We focus attention on polydispersity in the length, the diameter, and the connectedness criterion, and we invoke bimodal, Gaussian, and Weibull distributions for these. The main finding from our simulations is that the percolation threshold shows quasi universal behaviour, i.e., to a good approximation, it depends only on certain cumulants of the full size and connectivity distribution. Our connectedness percolation theory hinges on a Lee-Parsons type of closure recently put forward that improves upon the often-used second virial approximation [T. Schilling, M. Miller, and P. van der Schoot, e-print arXiv:1505.07660 (2015)]. The theory predicts exact universality. Theory and simulation agree quantitatively for aspect ratios in excess of 20, if we include the connectivity range in our definition of the aspect ratio of the particles. We further discuss the mechanism of cluster growth that, remarkably, differs between systems that are polydisperse in length and in width, and exhibits non-universal aspects.
Disciplines :
Physics
Author, co-author :
Meyer, Hugues ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
Van der Schoot, Paul;  Eindhoven University of Technology > Department of Applied Physics ; Utrecht University > Institute for Theoretical Physics
Schilling, Tanja ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit
External co-authors :
yes
Language :
English
Title :
Percolation in suspensions of polydisperse hard rods: Quasi universality and finite-size effects
Publication date :
22 July 2015
Journal title :
Journal of Chemical Physics
ISSN :
1089-7690
Publisher :
American Institute of Physics, New York, United States - New York
Volume :
143
Issue :
4
Pages :
044901
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 15 September 2015

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