Despite the use of glasses for thousands of years, the nature of the glass
transition is still mysterious. On approaching the glass transition, the growth
of dynamic heterogeneity has long been thought to play a key role in explaining
the abrupt slowdown of structural relaxation. However, it still remains elusive
whether there is an underlying link between structural relaxation and dynamic
heterogeneity. Here we unravel the link by introducing a characteristic time
scale hiding behind an identical dynamic heterogeneity for various model
glass-forming liquids. We find that the time scale corresponds to the kinetic
fragility of liquids. Moreover, it leads to scaling collapse of both the
structural relaxation time and dynamic heterogeneity for all liquids studied,
together with a characteristic temperature associated with the same dynamic
heterogeneity. Our findings imply that studying the glass transition from the
viewpoint of dynamic heterogeneity is more informative than expected.Comment: 5 pages, 3 figure