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Geometric effects in random assemblies of ellipses.

Jakov Lovrić1, Sara Kaliman, Wolfram Barfuss

  • 1Division of Physical Chemistry, Ruđer Bošković Institute, Bijenička cesta 54, 10000 Zagreb, Croatia.

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|October 23, 2019
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Summary

This study analyzes 2D assemblies of elliptical particles, revealing geometric differences from 3D systems. Findings offer a reference for understanding complex active matter, including biological systems.

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Area of Science:

  • Physics
  • Materials Science
  • Complex Systems

Background:

  • Anisotropic particle assemblies are key in active many-body systems.
  • Geometric effects of finite density in 2D assemblies remain unclear.

Purpose of the Study:

  • To fully characterize geometric ramifications in 2D anisotropic particle assemblies.
  • To provide a reference for identifying geometric effects in complex systems.

Main Methods:

  • Generated random assemblies via slow compression of frictionless elliptical particles.
  • Analyzed configurations using Set Voronoi tessellation accounting for particle shape.
  • Examined scalar and vectorial morphological measures and their correlations.

Main Results:

  • Identified similarities with 3D assemblies in limited parameter ranges.
  • Found significant differences across broad aspect ratios and packing fractions.
  • Systematically explored correlations between morphological measures.

Conclusions:

  • 2D anisotropic particle assemblies exhibit unique geometric properties distinct from 3D systems.
  • The study provides a reference dataset for complex systems, including biological matter.
  • Geometric effects are crucial for understanding active and soft particle systems.