title: Dynamical arrest with zero complexity: The unusual behavior of the spherical Blume-Emery-Griffiths disordered model.
abstract: The short- and long-time dynamics of model systems undergoing a glass transition with apparent inversion of Kauzmann and dynamical arrest glass transition lines is investigated. These models belong to the class of the spherical mean-field approximation of a spin-1 model with p-body quenched disordered interaction, with p>2, termed spherical Blume-Emery-Griffiths models. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the transition between these phases can be of a different nature. In specific regions of the phase diagram coexistence of low-density and high-density paramagnets can occur, as well as the coexistence of spin-glass and paramagnetic phases. The exact static solution for the glassy phase is known to be obtained by the one-step replica symmetry breaking ansatz. Different scenarios arise for both the dynamic and the thermodynamic transitions. These include: (i) the usual random first-order transition (Kauzmann-like) for mean-field glasses preceded by a dynamic transition, (ii) a thermodynamic first-order transition with phase coexistence and latent heat, and (iii) a regime of apparent inversion of static transition line and dynamic transition lines, the latter defined as a nonzero complexity line. The latter inversion, though, turns out to be preceded by a dynamical arrest line at higher temperature. Crossover between different regimes is analyzed by solving mode-coupling-theory equations near the boundaries of paramagnetic solutions and the relationship with the underlying statics is discussed.
authors.affiliation: Dipartimento di Fisica, Sapienza Università di Roma, Piazzale A. Moro 2, I-00185 Roma, Italy.|LPT, Ecole Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris, France.
authors.forename: Corrado
authors.initials: C
authors.lastname: Rainone
authors.affiliation: Institut de la Vision, Sorbonne Universités, UPMC, INSERM U968, CNRS UMR 7210, Paris, F-75012, France.
authors.forename: Ulisse
authors.initials: U
authors.lastname: Ferrari
authors.affiliation: Department of Physics, Syracuse University, Syracuse NY 13244, USA.
authors.forename: Matteo
authors.initials: M
authors.lastname: Paoluzzi
authors.affiliation: Dipartimento di Fisica, Sapienza Università di Roma, Piazzale A. Moro 2, I-00185 Roma, Italy.|NANOTEC-CNR, Soft and Living Matter Lab. Rome, c/o Dept. Physics, Sapienza Università di Roma, Piazzale A. Moro 2, I-00185 Roma, Italy.
authors.forename: Luca
authors.initials: L
authors.lastname: Leuzzi