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The isostatic state plays a central role in organizing the response of manyamorphous materials. We demonstrate the existence of a dynamic critical lengthscale in nearly isostatic spring networks that is valid both above and belowisostaticity and at finite frequencies, and use scaling arguments to relate thelength scale to viscoelastic response. We predict theoretically and verifynumerically how proximity to isostaticity controls the viscosity, shearmodulus, and creep of random networks.

Floppiness, cutting, and freezing: Dynamic critical scaling near isostaticity