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Jamming Transition as Probed by Quasistatic Shear Flow Export

Physical Review Letters, Vol. 102, No. 21. (2009), pp. 218303-218303.

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We study the rheology of amorphous packings of soft, frictionless particles close to jamming. Implementing a quasistatic simulation method we generate a well-defined ensemble of states that directly samples the system at its yield stress. A continuous jamming transition from a freely flowing state to a yield-stress situation takes place at a well-defined packing fraction, where the scaling laws characteristic of isostatic solids are observed. We propose that long-range correlations observed below the transition are dominated by this isostatic point, while those that are observed above the transition are characteristic of dense, disordered elastic media.


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