The Jamming Transition in Granular Systems
T. S. Majmudar, M. Sperl, S. Luding, R. P. Behringer
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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