title: Equilibrium phase diagram of a randomly pinned glass-former.
abstract: We use computer simulations to study the thermodynamic properties of a glass-former in which a fraction c of the particles has been permanently frozen. By thermodynamic integration, we determine the Kauzmann, or ideal glass transition, temperature [Formula: see text] at which the configurational entropy vanishes. This is done without resorting to any kind of extrapolation, i.e., [Formula: see text] is indeed an equilibrium property of the system. We also measure the distribution function of the overlap, i.e., the order parameter that signals the glass state. We find that the transition line obtained from the overlap coincides with that obtained from the thermodynamic integration, thus showing that the two approaches give the same transition line. Finally, we determine the geometrical properties of the potential energy landscape, notably the T- and c dependence of the saddle index, and use these properties to obtain the dynamic transition temperature [Formula: see text]. The two temperatures [Formula: see text] and [Formula: see text] cross at a finite value of c and indicate the point at which the glass transition line ends. These findings are qualitatively consistent with the scenario proposed by the random first-order transition theory.
authors.affiliation: Institute of Physics, University of Tsukuba, Tsukuba 305-8571, Japan; Department of Physics, Nagoya University, Nagoya 464-8602, Japan;
authors.forename: Misaki
authors.initials: M
authors.lastname: Ozawa
authors.affiliation: Laboratoire Charles Coulomb, UMR 5221, University of Montpellier and CNRS, 34095 Montpellier, France; and walter.kob@univ-montp2.fr.
authors.forename: Walter
authors.identifier: http://orcid.org/0000-0001-7405-2178
authors.initials: W
authors.lastname: Kob
authors.affiliation: Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto 606-8103, Japan.
authors.forename: Atsushi
authors.initials: A
authors.lastname: Ikeda
authors.affiliation: Department of Physics, Nagoya University, Nagoya 464-8602, Japan;
authors.forename: Kunimasa
authors.initials: K
authors.lastname: Miyazaki
keywords: Kauzmann temperature; computer simulations; configurational entropy; ideal glass transition; random first-order transition theory