Power-law behavior in the viscosity of ionic liquids: Existing a similarity in the power law and a new proposed viscosity equation

Abstract

Temperature dependence of viscosity, as a transport property, can be used for gaining insight into the nature of glass-transition in liquids at low temperatures. In the present study, we reconsider our recent proposed viscosity equation and demonstrate that this equation mathematically represents the temperature dependent viscosity in the same manner as the power law in the context of mode coupling theory does. We use the power law equation for temperature dependence of viscosity of 45 ionic liquids with diverse cation and anion. The crossover temperature T x , in the power law equation, has a clear physical meaning upon which a significant change in the viscosity trend takes place. We show that the empirical parameters of our equation ( a and b) are essentially related to T x, as T x = (− a/ b). A good agreement is observed between T x values obtained from power law and from our equation for all the ionic liquids. The values of T x are located above the glass transition temperature and below the melting point, e.g., T g < T x < T M . Finally, a universal behavior of viscosity can be established using T x , as a corresponding states parameter. Hence, the temperature dependent viscosity equation of ionic liquids is now appeared as an equation including physically meaningful parameters, facilitating the determination of the crossover temperature near glass transition temperature.