Freezing Temperature and Density Scaling of Transport Coefficients

Abstract

It is demonstrated that the freezing density scaling of transport coefficients in fluids, similar to the freezing temperature scaling, originates from the quasi-universal excess entropy scaling approach proposed by Rosenfeld. The freezing density scaling has a considerably wider applicability domain on the phase diagram of Lennard-Jones and related systems. As an illustration of its predictive power, we show that it reproduces with an excellent accuracy the shear viscosity coefficients of saturated liquid argon, krypton, xenon, and methane.

Freezing density scaling of fluid transport properties: Application to liquefied noble gases

“…More recently, FDS has been discussed in the context of excess entropy scaling and the theory of isomorphs [50]. Let us elaborate on this further here.…”

Diffusion mobility increases linearly on liquid binodals above triple point

“…However, this approximation is unsuitable for an accurate determination of the diffusion coefficient over a wide temperature range, because of neglecting the effects of collective dynamics in liquids, such as dynamic viscosity. Other useful relationships for diffusion in liquids include the excess entropy scaling of transport coefficients [17][18][19][20] , their freezing temperature and density scalings [21][22][23][24][25] , and the Stokes-Einstein relation between the diffusion and shear viscosity coefficients [26][27][28][29][30][31] . Technically, extensive results from numerical simulations [32][33][34] and machine learning 35 are applied to study diffusion across coupling regimes.…”