Dynamical heterogeneity in terms of gauge theory of glass transition

•We develop the gauge theory of glass transition (GTGT).•GTGT is applied to describe the dynamic heterogeneity in supercooled liquid.•The dynamic susceptibility time dependence near the glass transition is obtained.•The dynamic heterogeneity is driven by two types of relaxation process.

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 obtain 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 of two processes: αα-relaxation process corresponding to the joint motion of the domains disordered with each other, and ββ-relaxation process corresponding to the motion inside these domains.