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Common packing patterns for jammed particles of different power size distributions

Daisuke S. Shimamoto* and Miho Yanagisawa†

  • Komaba Institute for Science, Graduate School of Arts and Sciences, The University of Tokyo, Komaba 3-8-1, Meguro, Tokyo 153-8902, Japan

  • *shimamoto-daisuke806@g.ecc.u-tokyo.ac.jp
  • †Also at Center for Complex Systems Biology, Universal Biology Institute, The University of Tokyo, Graduate School of Science, The University of Tokyo, Hongo 7-3-1, Bunkyo, Tokyo 113-0033, Japan; myanagisawa@g.ecc.u-tokyo.ac.jp

Phys. Rev. Research 5, L012014 – Published 10 February, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L012014

Abstract

We introduce a model for particles that are extremely polydisperse in size compared with monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases the packing fraction at jamming points. However, no packing pattern common to diverse polydisperse particles has been reported. We focused on polydisperse particles with a power size distribution r−a as a ubiquitous system that can be expected to be scale invariant. We experimentally and numerically constructed 2D random packing for various polydisperse particles with different size exponents a. Analysis of the packing pattern revealed a common contact number distribution for a<3 and a higher jamming point for 2<a<3 than in monodisperse systems. These findings demonstrate that the ambiguity of the characteristic length provides common properties that lead to a classification scheme for polydisperse particles.

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