title: Dynamics of structural models with a long-range interaction: glassy versus nonglassy behavior
abstract: By making use of the Langevin dynamics and its generating functional (GF) formulation, the influence of the long-range nature of the interaction on the tendency of the glass formation is systematically investigated. In doing so, two types of models are considered: (i) the nondisordered model with a pure repulsive type of interaction, and (ii) the model with a randomly distributed strength of interaction (a quenched disordered model). The long-ranged potential of interaction is scaled with a number of particles N in such a way as to enable for the GF the saddle-point treatment as well as the systematic 1/N expansion around it. We show that the nondisordered model has no glass transition, which is in line with the mean-field limit of the mode-coupling theory (MCT) predictions. On the other hand, the model with a long-range interaction that has a quenched disorder leads to MC equations which are generic for the p-spin glass model and polymeric manifold in a random media.
authors.affiliation: Max-Planck-Institut fur Polymerforschung, Postfach 3148, D-55021 Mainz, Germany and Institute of Chemical Physics, Russian Academy of Science, 142432, Chernogolovka, Moscow region, Russia.
authors.initials: VG
authors.lastname: Rostiashvili
authors.initials: TA
authors.lastname: Vilgis