Dynamical heterogeneity in terms of gauge theory of glass transition

TL;DR

This paper explains dynamic heterogeneity in supercooled liquids using gauge theory, linking molecular motion correlations to elastic interactions and deriving analytical expressions for relaxation behaviors near the glass transition.

Contribution

It introduces a gauge theory framework to describe dynamic heterogeneity and derives analytical formulas for correlated atom numbers and susceptibility near the glass transition.

Findings

Growth of correlated regions causes heterogeneity.

Two relaxation processes: alpha and beta.

Analytical expressions for relaxation dynamics.

Abstract

In this paper the phenomenon of dynamic heterogeneity in supercooled liquid systems is considered in terms of the recently proposed gauge theory of glass transition. The physical interpretation of the dynamic scaling is considered. It is shown that the development of the dynamic heterogeneity occurs due to the growth areas in which molecular motion is correlated due to the elastic interaction described by the gauge field. We obtains the analytical expressions for the dependence of the number of dynamically correlated atoms as the function on the system relaxation time, and the time dependence of the dynamic susceptibility near the glass transition. It is shown that the relaxation consists two processes: $\alpha $-relaxation process corresponding to the joint motion of the domains disordered with each other, and $\beta$-relaxation process corresponding to the motion inside these domains.