{ "id": "1509.03433", "version": "v1", "published": "2015-09-11T09:25:41.000Z", "updated": "2015-09-11T09:25:41.000Z", "title": "Vanishing of configurational entropy may not imply an ideal glass transition in randomly pinned liquids", "authors": [ "Saurish Chakrabarty", "Smarajit Karmakar", "Chandan Dasgupta" ], "journal": "Proc. Natl. Acad. of Sci (USA), 201512745 (2015)", "categories": [ "cond-mat.stat-mech" ], "abstract": "Ozawa et. al [1] presented numerical results for the configurational entropy density, $s_c$, of a model glass-forming liquid in the presence of random pinning. The location of a \"phase boundary\" in the pin density ($c$) - temperature ($T$) plane, that separates an \"ideal glass\" phase from the supercooled liquid phase, is obtained by finding the points at which $s_c(T,c) \\to 0$. According to the theoretical arguments by Cammarota et. al. [2], an ideal glass transition at which the $\\alpha$-relaxation time $\\tau_\\alpha$ diverges takes place when $s_c$ goes to zero. We have studied the dynamics of the same system using molecular dynamics simulations. We have calculated the time-dependence of the self intermediate scattering function, $F_s(k,t)$ at three state points in the $(c-T)$ plane where $s_c(T,c) \\simeq 0$ according to Ref. [1]. It is clear from the plots that the relaxation time is finite [$\\tau_\\alpha \\sim \\mathcal{O}(10^6)]$ at these state points. Similar conclusions have been obtained in Ref.[3] where an overlap function was used to calculate $\\tau_\\alpha$ at these state points.", "revisions": [ { "version": "v1", "updated": "2015-09-11T09:25:41.000Z" } ], "analyses": { "keywords": [ "ideal glass transition", "randomly pinned liquids", "state points", "relaxation time", "self intermediate scattering function" ], "tags": [ "journal article" ], "publication": { "publisher": "USNAS", "journal": "Proceedings of the National Academy of Science", "doi": "10.1073/pnas.1512745112", "year": 2015, "month": "Sep", "volume": 112, "number": 35 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015PNAS..112E4819C" } } }