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Granular Matter

, Volume 16, Issue 4, pp 517–530 | Cite as

Subdiffusive behavior in a two-dimensional planar shear granular flow

  • J. M. SalazarEmail author
Original Paper
First Online:

Abstract

We study the rheology of a compact ensemble of beads in a two-dimensional planar shear configuration by means of molecular dynamics. The rheology obtained shows a plateau for low shear rates. In this parameter region we observe the presence of a collective behavior, sticking agglomerates of particles, characterized by a velocity lower than the mean flow velocity. The lifetime of this blocking regions can stand several thousands time units. Moreover, our analysis of the mean square displacement shows a growth of the form \(\langle (\Delta r({\tau }))^2\rangle \sim {\tau }^{\beta }\) with \(\beta < 1.0\). This indicates the presence of a subdiffusive flow in the quasi-static regime characterized by the presence of vortices. In this work we detail how the observed transient agglomerates of particles deform the flow and we used a local relaxation time analysis for characterizing the inhomogeneities.

Keywords

Shear granular Granular flow Vortex Spatial instabilities Molecular dynamics Anomalous diffusion 
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Notes

Acknowledgments

The author would like to thanks the comments and remarks of Prof. L. Brenig. Also a special thanks to F. Chevoir for the enlightening discussions held with him during the development of this work. The simulations were performed at the Université de Bourgogne computer facilities.

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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR-6303CNRS-Université de BourgogneDijon CedexFrance

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