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Hisao Hayakawa, Michio Otsuki, Mode-Coupling Theory of Sheared Dense Granular Liquids, Progress of Theoretical Physics, Volume 119, Issue 3, March 2008, Pages 381–402, https://doi.org/10.1143/PTP.119.381
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Abstract
Mode-coupling theory (MCT) of sheared dense granular liquids is formulated. Starting from the Liouville equation for granular particles, a generalized Langevin equation is derived with the aid of the projection operator technique. The MCT equation for the density correlation function obtained from this generalized Langevin equation is almost equivalent to MCT equation for elastic particles under shear. It is found that there should be a plateau in the density correlation function.
References
Citing Article(s):
Progress of Theoretical Physics Vol. 121 No. 3 (2009) pp. 647–655:Universal Scaling for the Jamming Transition Michio Otsuki and Hisao Hayakawa
Progress of Theoretical Physics Supplement No. 184 (2010) pp. 88–99:Correlations and the Ring-Kinetic Equation in Dense Sheared Granular Flows V. Kumaran
Progress of Theoretical Physics Supplement No. 184 (2010) pp. 110–133:Behavior of Pressure and Viscosity at High Densities for Two-Dimensional Hard and Soft Granular Materials Michio Otsuki, Hisao Hayakawa and Stefan Luding