Exact results for the jammed state of binary mixtures of superdisks on the plane

N. M. Švrakić*, Branislav N. Aleksić, Milivoj R. Belić

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

By analytical and numerical methods we investigate the late stage deposition of binary mixtures of oriented "superdisks" on a plane. Superdisks are objects bounded by Lamé curves |x|2p + |y|2p=1, where deformation parameter p controls their size and shape. For deposition of single-type superdisks, the maximum packing and jamming densities are known to be nonanalytic at p=0.5. For binary mixtures of superdisks, we discover that nonanalyticities form a locus of points separating "phase diagram" of shape combinations into regions with different excluded-area constructions. An analytical expression for this phase boundary and exact constructions of the excluded-areas are presented. The corresponding saturation coverages are obtained by extensive numerical Monte Carlo simulations.

Original languageEnglish
Article number16284
Pages (from-to)93-99
Number of pages7
JournalPhysica A: Statistical Mechanics and its Applications
Volume441
DOIs
Publication statusPublished - 1 Jan 2016
Externally publishedYes

Keywords

  • Dense packing
  • Exact results
  • Jamming properties
  • Mixtures
  • Object deposition
  • Superdisks

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