Aging and relaxation near Random Pinning Glass Transitions

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.

7 pages, 4 figures

References in corpus (4)

• Theoretical perspective on the glass transition and amorphous materials
• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Spontaneous and induced dynamic correlations in glass-formers II: Model calculations and comparison to numerical simulations
• Characterizing order in amorphous systems

Cited by in corpus (10)

• Random Pinning Glass Model
• Distribution of Diffusion Constants and Stokes-Einstein Violation in supercooled liquids
• Random Pinning Glass Transition: Hallmarks, Mean-Field Theory and Renormalization Group Analysis
• Patch-repetition correlation length in glassy systems
• Dynamical correlations in a glass-former with randomly pinned particles
• Random-Field Ising like effective theory of the glass transition: I Mean-Field Models
• Simple physics of the partly pinned fluid systems
• Thresholds of descending algorithms in inference problems
• The glass susceptibility: growth kinetics and saturation under shear
• Logarithmic critical slowing down in complex systems: from statics to dynamics