Mode-coupling theory of sheared dense granular liquids

Details Mode-coupling theory of sheared dense granular liquids Mode-coupling theory of sheared dense granular liquids

2007-10-23

arxiv.org/abs/0710.4188v3

Progress of Theoretical Physics, vol. 118, 381-402 (2008)

Physics

Condensed Matter

Statistical Mechanics

22 pages, 2 figure. to be published in Progress of Theoretical Physics. to be published in Progress of Theoretical Physics

Scientific paper

10.1143/PTP.119.381

Mode-coupling theory (MCT) of sheared dense granular liquids %in the vicinity of jamming transition is formulated. Starting from the Liouville equation of granular particles, the generalized Langevin equation is derived with the aid of the projection operator technique. The MCT equation for the density correlation function obtained from the generalized Langevin equation is almost equivalent to MCT equation for elastic particles under the shear. It is found that there should be the plateau in the density correlation function.

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