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Jamming as a Critical Phenomenon: A Field Theory of Zero-Temperature Grain Packings

Jamming as a Critical Phenomenon: A Field Theory of Zero-Temperature Grain Packings

A field theory of frictionless grain packings in two dimensions is shown to exhibit a zero-temperature critical point at a non-zero value of the packing fraction. The zero-temperature constraint of force-balance plays a crucial role in determining the nature of the transition. Two order parameters, <z>, the deviation of the …