Reference : Percolation in suspensions of polydisperse hard rods: Quasi universality and finite-s...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/10993/21973
Percolation in suspensions of polydisperse hard rods: Quasi universality and finite-size effects
English
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 mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Physics and Materials Science Research Unit >]
22-Jul-2015
Journal of Chemical Physics
American Institute of Physics
143
4
044901
Yes (verified by ORBilu)
International
0021-9606
1089-7690
New York
NY
[en] percolation ; Correlation functions ; Heat conduction
[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.
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/21973
10.1063/1.4926946
http://dx.doi.org/10.1063/1.4926946

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