Glass glass transition and new dynamical singularity points in an analytically solvable p-spin glass like model

TL;DR

This paper introduces an analytically solvable p-spin glass model that captures key features of attractive glasses, including glass transitions, dynamical singularities, aging effects, and a glass spinodal line, expanding understanding beyond Mode Coupling predictions.

Contribution

The study presents a new solvable model that reproduces and extends the phenomenology of attractive glasses, revealing novel dynamical singularities and aging phenomena.

Findings

Identification of a glass/glass transition line.

Discovery of dynamical singularity points with logarithmic relaxation.

Presence of aging effects and a glass spinodal line.

Abstract

We introduce and analytically study a generalized p-spin glass like model that captures some of the main features of attractive glasses, recently found by Mode Coupling investigations, such as a glass/glass transition line and dynamical singularity points characterized by a logarithmic time dependence of the relaxation. The model also displays features not predicted by the Mode Coupling scenario that could further describe the attractive glasses behavior, such as aging effects with new dynamical singularity points ruled by logarithmic laws or the presence of a glass spinodal line.