{ "id": "1212.1588", "version": "v1", "published": "2012-12-07T12:00:52.000Z", "updated": "2012-12-07T12:00:52.000Z", "title": "The Glass Transition in Driven Granular Fluids: A Mode-Coupling Approach", "authors": [ "W. T. Kranz", "M. Sperl", "A. Zippelius" ], "comment": "16 pages, 9 figures", "journal": "Phys. Rev. E 87, 022207 (2013)", "doi": "10.1103/PhysRevE.87.022207", "categories": [ "cond-mat.stat-mech", "cond-mat.soft", "math-ph", "math.MP" ], "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.", "revisions": [ { "version": "v1", "updated": "2012-12-07T12:00:52.000Z" } ], "analyses": { "subjects": [ "45.70.Cc", "64.70.qj", "47.57.Gc" ], "keywords": [ "driven granular fluids", "glass transition", "mode-coupling approach", "space dimension", "inelastic hard spheres" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2013, "month": "Feb", "volume": 87, "number": 2, "pages": "022207" }, "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..87b2207K" } } }