Stress relaxation above and below the jamming transition

Abstract

We numerically investigate stress relaxation in soft athermal disks to reveal critical slowing down when the system approaches the jamming point. The exponents describing the divergence of the relaxation time differ dramatically depending on whether the transition is approached from the jammed or unjammed phase. This contrasts sharply with conventional dynamic critical scaling scenarios, where a single exponent characterizes both sides. We explain this surprising difference in terms of the vibrational density of states (vDOS), which is a key ingredient of linear viscoelastic theory. The vDOS exhibits an extra slow mode that emerges below jamming, which we utilize to demonstrate the anomalous exponent below jamming.

arXiv comment5 pages, 4 figures

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Cited by in corpus (11)

• Elasticity of Jammed Packings of Sticky Disks
• Relaxation dynamics of non-Brownian spheres below jamming
• Complete mathematical theory of the jamming transition: A perspective
• Strain-controlled critical slowing down in the rheology of disordered networks
• Sound damping in frictionless granular materials: The interplay between configurational disorder and inelasticity
• Exceptionally Slow, Long Range, and Non-Gaussian Critical Fluctuations Dominate the Charge Density Wave Transition
• Geometrical properties of mechanically annealed systems near the jamming transition
• Comment on "Explicit Analytical Solution for Random Close Packing in $d=2$ and $d=3$"
• Jamming transition and normal modes of polydispersed soft particle packing
• Dynamic susceptibilities in dense soft athermal spheres under a finite-rate shear
• Relaxation dynamics and long-time tails explain shear-induced diffusion of soft athermal particles near jamming