Dynamical Susceptibilities Near Ideal Glass Transitions

TL;DR

This paper extends mode-coupling theory to inhomogeneous environments, enabling a microscopic approach to study collective relaxation in supercooled liquids near the glass transition.

Contribution

It introduces a first-principles framework to derive high-point dynamical susceptibilities from variations of dynamic structure factors in supercooled liquids.

Findings

Provides a systematic method to analyze dynamical susceptibilities.

Enables microscopic probing of relaxation mechanisms.

Bridges theoretical predictions with experimental measurements.

Abstract

Building on the recently derived inhomogeneous mode-coupling theory, we extend the generalised mode-coupling theory of supercooled liquids to inhomogeneous environments. This provides a first-principles-based, systematic and rigorous way of deriving high-point dynamical susceptibilities from variations of the many-body dynamic structure factors with respect to their conjugate field. This new framework allows for a novel and fully microscopic possibility to probe for collective relaxation mechanisms in supercooled liquids near the mode-coupling glass transition.