Lifetime of dynamical heterogeneity in a highly supercooled liquid

Abstract

We numerically examine dynamical heterogeneity in a highly supercooled three-dimensional liquid via molecular-dynamics simulations. To define the local dynamics, we consider two time intervals, ${\tau }_{\alpha }$ and ${\tau }_{\text{ngp}}$. ${\tau }_{\alpha }$ is the $\alpha$ relaxation time, and ${\tau }_{\text{ngp}}$ is the time at which non-Gaussian parameter of the van Hove self-correlation function is maximized. We determine the lifetimes of the heterogeneous dynamics in these two different time intervals, ${\tau }_{\text{hetero}}({\tau }_{\alpha })$ and ${\tau }_{\text{hetero}}({\tau }_{\text{ngp}})$, by calculating the time correlation function of the particle dynamics, i.e., the four-point correlation function. We find that the difference between ${\tau }_{\text{hetero}}({\tau }_{\alpha })$ and ${\tau }_{\text{hetero}}({\tau }_{\text{ngp}})$ increases with decreasing temperature. At low temperatures, ${\tau }_{\text{hetero}}({\tau }_{\alpha })$ is considerably larger than ${\tau }_{\alpha }$, while ${\tau }_{\text{hetero}}({\tau }_{\text{ngp}})$ remains comparable to ${\tau }_{\alpha }$. Thus, the lifetime of the heterogeneous dynamics depends strongly on the time interval.

4pages, 6figures

References in corpus (3)

• Inhomogeneous Mode-Coupling Theory and Growing Dynamic Length in Supercooled Liquids
• Multi-time density correlation functions in glass-forming liquids: Probing dynamical heterogeneity and its lifetime
• Multiple time scales hidden in heterogeneous dynamics of glass-forming liquids

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