Aging and relaxation near random pinning glass transitions

Chiara Cammarota and Giulio Biroli

Institut Physique Théorique (IPhT) CEA Saclay, and CNRS URA 2306 - 91191 Gif-Sur-Yvette, France, EU

Received: 17 December 2011
Accepted: 14 March 2012

Abstract

Pinning particles at random in supercooled liquids is a promising route to make substantial progress in the glass transition problem. Here we develop a mean-field theory by studying the equilibrium and non-equilibrium dynamics of the spherical p-spin model in the presence of a fraction c of pinned spins. Our study shows the existence of two dynamic critical lines: one corresponding to usual mode coupling transitions and the other one to dynamic spinodal transitions. Quenches in the portion of the c-T phase diagram delimited by those two lines leads to aging. By extending our results to finite dimensional systems we predict non-interrupted aging only for quenches on the ideal glass transition line and two very different types of equilibrium relaxations for quenches below and above it.