Relaxations and rheology near jamming

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.107.158303

We determine the form of the complex shear modulus $G^*$ in soft sphere packings near jamming. Viscoelastic response at finite frequency is closely tied to a packing's intrinsic relaxational modes, which are distinct from the vibrational modes of undamped packings. We demonstrate and explain the appearance of an anomalous excess of slowly relaxing modes near jamming, reflected in a diverging relaxational density of states. From the density of states, we derive the dependence of $G^*$ on frequency and distance to the jamming transition, which is confirmed by numerics.

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