Pressure distribution and critical exponent in statically jammed and shear-driven frictionless disks.

Phys Rev E Stat Nonlin Soft Matter Phys

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

Published: February 2014

AI Article Synopsis

  • This study analyzes global pressure distributions in systems of bidisperse, frictionless disks that are either statically jammed or quasistatically sheared, maintaining a constant packing fraction (ϕ) in two dimensions.
  • It looks into how pressure (p) changes as packing fraction increases beyond a critical jamming point (ϕ(J)), revealing that the relationship can be described using an exponent (y).
  • For statically jammed systems, the exponent y correlates closely with the soft-core interaction between particles, while for sheared systems, y appears to take on a more complex value, aligning with findings from previous studies on fluid dynamics.

Article Abstract

We numerically study the distributions of global pressure that are found in ensembles of statically jammed and quasistatically sheared systems of bidisperse, frictionless disks at fixed packing fraction ϕ in two dimensions. We use these distributions to address the question of how pressure increases as ϕ increases above the jamming point ϕ(J), p ∼ |ϕ-ϕ(J)(y). For statically jammed ensembles, our results are consistent with the exponent y being simply related to the power law of the interparticle soft-core interaction. For sheared systems, however, the value of y is consistent with a nontrivial value, as found previously in rheological simulations.

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Source
http://dx.doi.org/10.1103/PhysRevE.89.022201DOI Listing

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