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
Accepted: 14 March 2012
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.
PACS: 64.70.P- – Glass transitions of specific systems / 64.60.De – Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)
© EPLA, 2012