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The locally heterogeneous dynamics of the glass‐forming liquids is an unusual and distinct phenomenon that is not observed in a typical liquid system above the melting temperature. Room‐temperature ionic liquids (RTILs) are usually good glass formers, exhibiting various interesting features of glassy materials such as nonexponential and non‐Arrenhius relaxations and transport decoupling behaviors. In this study, we propose a minimal model that represents the general structural features of RTILs to study their dynamics by extending the restricted primitive model. We mainly focus on the heterogeneous dynamics of the RTIL as a glass former and investigate how the charge symmetry of each ion affects the structural relaxation, diffusive behavior, and the dynamic heterogeneity lifetime of the system. [ABSTRACT FROM AUTHOR]

A stochastic lineshape theory is formulated for the non-Markovian and multistate frequency modulation model. The frequency of the stochastic oscillator undergoes non-Markovian modulations between multiple states, and the transition processes are described by arbitrary waiting-time distributions. By incorporating stationarity into the stochastic process in a proper way, we calculate the propagator and the relaxation function. It is shown that a stationary distribution among the oscillator states satisfies a generalized detailed balance condition even in the non-Markovian case. We find an exact expression for the lineshape function, which contains the Markovian case as a special limit. [ABSTRACT FROM AUTHOR]