English

Aging and relaxation near Random Pinning Glass Transitions

Disordered Systems and Neural Networks 2012-12-18 v1 Soft Condensed Matter Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1112.4068,
  title  = {Aging and relaxation near Random Pinning Glass Transitions},
  author = {Chiara Cammarota and Giulio Biroli},
  journal= {arXiv preprint arXiv:1112.4068},
  year   = {2012}
}

Comments

7 pages, 4 figures