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Soft particle packings near jamming: correlations in static structure

Kamran Karimi (Carnegie Mellon University), Craig Maloney (Carnegie Mellon University)

Multiscale Mechanics of Particulate Media

Mon 9:00 - 10:30

Sayles 105

We report on two-dimensional computer simulations of frictionless soft harmonic packings at various area fractions  above the jamming point . We measure the anisotropy in coarse-grained stress s and shear modulus m as functions of coarse-graining scale, R. s can be collapsed onto a master curve after rescaling R by a characteristic length scale  and s by an anisotropy magnitude A. Both A and  accelerate as   c from above, consistent with a divergence at c. m shows no characteristic length scale and has a nontrivial power-law form, m  R0.62, over almost the entire range of R at all . These results suggest that the force chains present in the spatial structure of the quenched stress may be governed by different physics than the anomalous elastic response near jamming.