Vibrational similarities in jamming-unjamming of polycrystalline and disordered granular packings

Abstract

We investigate the vibrational properties of polycrystalline monodisperse and disordered bidisperse granular packings during jamming and unjamming using discrete element method simulations. Both systems deviate from Debye scaling at low frequencies $(\omega )$, but only bidisperse packings exhibit a low-$\omega$ plateau. The low $\omega$ exponent ($\alpha$) in bidisperse packings evolves smoothly from zero (plateau) to near one (Debye scaling) with increasing packing fraction, whereas in polycrystalline packings, it changes discontinuously near jamming/unjamming, due to the nature of the contact network rearrangements. Despite structural modifications during the compression-decompression cycle, the exponent remains unchanged at the same distance from jamming density, regardless of the history. Nonaffine displacements and contact orientational order further confirm that structural features that impact low-$\omega$ vibrational states and, hence, mechanical properties are largely restored upon decompression, reinforcing vibrational similarities between jamming and unjamming states.

arXiv comment8 pages + 6 pages (Supplmental), 5 figues. Accepted in Physical Review Research

References in corpus (19)

• Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
• Jamming of Soft Particles: Geometry, Mechanics, Scaling and Isostaticity
• The Jamming Transition in Granular Systems
• Vibrations and diverging length scales near the unjamming transition
• Jamming during the discharge of granular matter from a silo
• Memory of jamming - multiscale models for soft and granular matter
• Deformation of crystals: Connections with statistical physics
• A first-order phase transition at the random close packing of hard spheres
• Glassiness, Rigidity and Jamming of Frictionless Soft Core Disks
• From Crystals to Disordered Crystals: A Hidden Order-Disorder Transition
• Non-affine displacements in crystalline solids in the harmonic limit
• Dynamic jamming of iceberg-choked fjords
• Additional transition line in jammed asymmetric bidisperse granular packings
• Geometric order parameters derived from the Voronoi tessellation show signatures of the jamming transition
• Acoustic Waves in Granular Packings at Low Confinement Pressure
• Disorder-induced vibrational anomalies from crystalline to amorphous solids
• Bulk Modulus along Jamming Transition Lines of Bidisperse Granular Packings
• Rheological regimes in agitated granular media under shear
• Structural transitions in jammed asymmetric bidisperse granular packings