The Jamming Transition in Granular Systems
Abstract
Recent simulations have predicted that near jamming for collections of spherical particles, there will be a discontinuous increase in the mean contact number, Z, at a critical volume fraction, phic. Above phic, Z and the pressure, P are predicted to increase as power laws in phi-phic. In experiments using photoelastic disks we corroborate a rapid increase in Z at phic and power-law behavior above phic for Z and P. Specifically we find power-law increase as a function of phi-phic for Z-Zc with an exponent beta around 0.5, and for P with an exponent psi around 1.1. These exponents are in good agreement with simulations. We also find reasonable agreement with a recent mean-field theory for frictionless particles.
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