Power-law rheology and the dynamical heterogeneity in a sheared granular material

Details Power-law rheology and the dynamical heterogeneity in a sheared granular material Power-law rheology and the dynamical heterogeneity in a sheared granular material

2008-04-03

arxiv.org/abs/0804.0477v2

J. Phys.: Conf. Ser. 319, 012011 (2011)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1088/1742-6596/319/1/012011

Rheology of a granular material at the jamming density is investigated using molecular dynamics simulation. It is found that shear stress exhibits power-law dependence on shear rate with a nontrivial exponent. Due to the criticality of the jamming transition point, finite-size effect is observed in smaller systems at lower shear rates. Finite-size scaling indicates the correlation length algebraically diverges in the zero shear rate limit. It is also found that the dynamical susceptibility monotonically decreases with time so that the dynamical heterogeneity is detected by a two-point correlation function. Several exponents that describe rheology, the correlation length, and the amplitude of the dynamical susceptibility are estimated.

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