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Atsushi Ikeda1, Ludovic Berthier2, Giorgio Parisi3

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Randomly jammed particle packings do not exhibit hyperuniformity, meaning density fluctuations do not vanish at large scales. Their structure is complex, differing from typical hyperuniform systems.

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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Randomly jammed packings of particles are fundamental in condensed matter physics.
  • Understanding density fluctuations is key to characterizing material properties.
  • Hyperuniformity describes systems with suppressed large-scale density fluctuations.

Purpose of the Study:

  • To numerically analyze density fluctuations in 3D randomly jammed soft particle packings.
  • To investigate whether these packings exhibit hyperuniform behavior.
  • To characterize the large-scale structure of the density field.

Main Methods:

  • Numerical analysis of the density field.
  • Calculation of the two-point static structure factor in Fourier space.
  • Analysis of the pair correlation function and direct correlation function in real space.
  • Use of a coarse-grained density field for improved analysis.

Main Results:

  • Randomly jammed packings lack signatures of vanishing density fluctuations at large scales, thus are not hyperuniform.
  • The pair correlation function shows complex large-distance structure.
  • The direct correlation function is demonstrated to be short-ranged.

Conclusions:

  • Jammed packings do not conform to the expected behavior of random hyperuniform materials.
  • Density fluctuations in jammed packings exhibit a more complex behavior than previously assumed.
  • The findings challenge simple models of disordered materials.