Why Do Granular Materials Stiffen with Shear Rate? A Test of Novel Stress-Based Statistics

Details Why Do Granular Materials Stiffen with Shear Rate? A Test of Novel Stress-Based Statistics Why Do Granular Materials Stiffen with Shear Rate? A Test of Novel Stress-Based Statistics

2008-10-27

arxiv.org/abs/0810.4891v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.101.268301

Recent experiments exhibit a rate-dependence for granular shear such that the stress grows linearly in the logarithm of the shear rate, \dot{\gamma}. Assuming a generalized activated process mechanism, we show that these observations are consistent with a recent proposal for a stress-based statistical ensemble. By contrast, predictions for rate-dependence using conventional energy-based statistical mechanics to describe activated processes, predicts a rate dependence that of (\ln (\dot{\gamma}))^{1/2}.

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