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We study the origin of the scaling behavior in frictionless granular mediaabove the jamming transition by analyzing their linear response. The responseto local forcing is non-self-averaging and fluctuates over a length scale thatdiverges at the jamming transition. The response to global forcing becomesincreasingly non-affine near the jamming transition. This is due to theproximity of floppy modes, the influence of which we characterize by the locallinear response. We show that the local response also governs the anomalousscaling of elastic constants and contact number.Comment: 4 pages, 3 figures. v2: Added new results; removed part of  discussion; changed Fig.

Critical Scaling in Linear Response of Frictionless Granular Packings near Jamming