Aging and relaxation near Random Pinning Glass Transitions

TL;DR

This paper develops a mean-field theory for glass transitions in supercooled liquids with randomly pinned particles, revealing critical lines and aging phenomena, and extends these predictions to finite-dimensional systems.

Contribution

It introduces a novel mean-field framework for understanding aging and relaxation near random pinning glass transitions, including the identification of critical lines and dynamic behaviors.

Findings

Existence of two dynamic critical lines: Mode Coupling and spinodal transitions.

Aging occurs when quenched between these two lines.

Different relaxation behaviors are predicted below and above the ideal glass transition line.

Abstract

Pinning particles at random in supercooled liquids is a promising route to make substantial progress on 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 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.