Higher-Order Singularities without Glass-Glass Transitions

TL;DR

This paper investigates higher-order glass-transition singularities in a particle system with a hard core and square-shoulder potential, revealing their origin from avoided glass-glass transitions within mode-coupling theory.

Contribution

It demonstrates the existence of higher-order singularities in the glass transition scenario caused by avoided glass-glass transitions, expanding understanding of complex glassy dynamics.

Findings

Double peak in the exponent parameter lambda along the transition line.

Lambda reaches unity at peaks, indicating higher-order singularities.

Higher-order singularities originate from avoided glass-glass transition lines.

Abstract

Within the framework of mode-coupling theory, the glass-transition scenario is investigated for a system of particles interacting with a hard-core repulsion and an additional square-shoulder soft core at larger distances. The static structure is calculated from the potential in Percus-Yevick approximation. For certain widths of the shoulder, the exponent parameter lambda along the glass-transition line shows a double peak. At both peaks, lambda can reach unity indicating the existence of higher-order glass-transition singularities. It is shown that these higher-order singularities originate from a line of avoided glass-glass transitions.