title: Following the evolution of hard sphere glasses in infinite dimensions under external perturbations: compression and shear strain.
abstract: We consider the adiabatic evolution of glassy states under external perturbations. The formalism we use is very general. Here we use it for infinite-dimensional hard spheres where an exact analysis is possible. We consider perturbations of the boundary, i.e., compression or (volume preserving) shear strain, and we compute the response of glassy states to such perturbations: pressure and shear stress. We find that both quantities overshoot before the glass state becomes unstable at a spinodal point where it melts into a liquid (or yields). We also estimate the yield stress of the glass. Finally, we study the stability of the glass basins towards breaking into sub-basins, corresponding to a Gardner transition. We find that close to the dynamical transition, glasses undergo a Gardner transition after an infinitesimal perturbation.
authors.affiliation: LPT, Ecole Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris, France and Dipartimento di Fisica, Sapienza Università di Roma, P.le A. Moro 2, I-00185 Roma, Italy.
authors.forename: Corrado
authors.initials: C
authors.lastname: Rainone
authors.affiliation: IPhT, CEA/DSM-CNRS/URA 2306, CEA Saclay, F-91191 Gif-sur-Yvette Cedex, France.
authors.forename: Pierfrancesco
authors.initials: P
authors.lastname: Urbani
authors.affiliation: Cybermedia Center, Osaka University, Toyonaka, Osaka 560-0043, Japan and Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan.
authors.forename: Hajime
authors.initials: H
authors.lastname: Yoshino
authors.affiliation: LPT, Ecole Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris, France.
authors.forename: Francesco
authors.initials: F
authors.lastname: Zamponi