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arXiv · 0710.4188

Mode-coupling theory of sheared dense granular liquids

Hisao Hayakawa·Michio Otsuki
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Abstract

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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Hisao Hayakawa, Michio Otsuki. 2009-09-30. Mode-coupling theory of sheared dense granular liquids. https://doi.org/10.1143/ptp.119.381

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