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Anharmonic and quasi-localized vibrations in jammed solids—Modes for mechanical failure

Anharmonic and quasi-localized vibrations in jammed solids—Modes for mechanical failure

We compare the harmonic and anharmonic properties of the vibrational modes in 3-dimensional jammed packings of frictionless spheres interacting via repulsive, finite range potentials. A crossover frequency is apparent in the density of states, the diffusivity and the participation ratio of the modes. At this frequency, which shifts to zero …