Long Range Correlation in Granular Shear Flow II: Theoretical Implications

Details Long Range Correlation in Granular Shear Flow II: Theoretical Implications Long Range Correlation in Granular Shear Flow II: Theoretical Implications

2006-12-28

arxiv.org/abs/cond-mat/0612679v1

Phys. Rev. E 76, 021303 (2007)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.76.021303

Numerical simulations are used to test the kinetic theory constitutive relations of inertial granular shear flow. These predictions are shown to be accurate in the dilute regime, where only binary collisions are relevant, but underestimate the measured value in the dense regime, where force networks of size $\xi$ are present. The discrepancy in the dense regime is due to non-collisional forces that we measure directly in our simulations and arise from elastic deformations of the force networks. We model the non-collisional stress by summing over all paths that elastic waves travel through force networks. This results in an analytical theory that successfully predicts the stress tensor over the entire inertial regime without any adjustable parameters.

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