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arXiv · 1212.1588

The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach

W. T. Kranz·M. Sperl·A. Zippelius
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Abstract

We consider the stationary state of a fluid comprised of inelastic hard spheres or disks under the influence of a random, momentum-conserving external force. Starting from the microscopic description of the dynamics, we derive a nonlinear equation of motion for the coherent scattering function in two and three space dimensions. A glass transition is observed for all coefficients of restitution, epsilon, at a critical packing fraction, phi_c(epsilon), below random close packing. The divergence of timescales at the glass-transition implies a dependence on compression rate upon further increase of the density - similar to the cooling rate dependence of a thermal glass. The critical dynamics for coherent motion as well as tagged particle dynamics is analyzed and shown to be non-universal with exponents depending on space dimension and degree of dissipation.

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W. T. Kranz, M. Sperl, A. Zippelius. 2012-12-07. The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach. https://doi.org/10.1103/physreve.87.022207

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