Search for hyperuniformity in mechanically stable packings of frictionless disks above jamming.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA.

Published: November 2015

AI Article Synopsis

  • The study investigates configurations of soft-core, frictionless bidisperse disks in two dimensions above the jamming packing fraction and examines local packing fraction fluctuations.
  • The findings reveal that hyperuniformity, a property indicating uniform distribution, is evident only to a certain length scale in the configurations, even as stress is reduced towards the jamming transition.
  • The results suggest that the hyperuniformity observed at jamming may depend on the specific method used to achieve these jammed configurations.

Article Abstract

We numerically simulate mechanically stable packings of soft-core, frictionless, bidisperse disks in two dimensions, above the jamming packing fraction ϕ(J). For configurations with a fixed isotropic global stress tensor, we investigate the fluctuations of the local packing fraction ϕ(r) to test whether such configurations display the hyperuniformity that has been claimed to exist exactly at ϕ(J). For our configurations, generated by a rapid quench protocol, we find that hyperuniformity persists only out to a finite length scale and that this length scale appears to remain finite as the system stress decreases towards zero, i.e., towards the jamming transition. Our result suggests that the presence of hyperuniformity at jamming may be sensitive to the specific protocol used to construct the jammed configurations.

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Source
http://dx.doi.org/10.1103/PhysRevE.92.052206DOI Listing

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