The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach
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.
Cite
@article{arxiv.1212.1588,
title = {The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach},
author = {W. T. Kranz and M. Sperl and A. Zippelius},
journal= {arXiv preprint arXiv:1212.1588},
year = {2013}
}
Comments
16 pages, 9 figures