Criticality and Scaling Relations in a Sheared Granular Material

Details Criticality and Scaling Relations in a Sheared Granular Material Criticality and Scaling Relations in a Sheared Granular Material

2006-07-20

arxiv.org/abs/cond-mat/0607511v2

J. Phys. Soc. Jpn., 76, 023001 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures

Scientific paper

10.1143/JPSJ.76.023001

We investigate a rheological property of a dense granular material under shear. By a numerical experiment of the system with constant volume, we find a critical volume fraction at which the shear stress and the pressure behave as power-law functions of the shear strain rate. We also present a simple scaling argument that determines the power-law exponents. Using these results, we interpret a power-law behavior observed in the system under constant pressure.

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