\section{Conclusion}

The Enskog solutions for Mie fluids have been shown to reliably predict diffusion coefficients, conductivities and thermal diffusion coefficients in dilute gas systems, both for pure fluids and mixtures. Notably, the parameters used in the predictions have almost exclusively been obtained from fitting to equilibrium properties rather than transport properties. This is remarkable for several reasons, one is that the issue of obtaining good parameters for the prediction of transport coefficients becomes a far simpler one to solve. There is a plethora of available experimental and simulation data for the equilibrium behaviour of fluids, and SAFT-type equations of state provide a connection between potential parameters and equilibrium behaviour. The results presented here show that one can safely transfer parameters from a SAFT-type EoS to the Enskog solutions and reliably predict transport coefficients. Further, the fact that the SAFT-VR Mie EoS and the Enskog solutions yield reliable predictions of equilibrium and non-equilibrium behaviour respectively, when supplied with the same potential parameters, indicates that the underlying theories are consistent with each other regarding the mechanisms of interaction between particles. 

The hard sphere Enskog solutions have been widely used, sometimes with various corrections to the collision integrals, as mentioned in Section \ref{subsubsec:summational_expressions}. Here, it has been shown that using a Mie potential to explicitly compute the collision integrals not only accurately captures the temperature dependency of the transport coefficients, but also reliably captures the compositional dependency in a manner that hard sphere potentials do not. In summary, explicitly solving the collision integrals using Mie potentials not only provides a great increase in prediction reliability, but also makes obtaining good potential parameters simpler and additionally provides a powerful link between the equilibrium and non-equilibrium behaviour of Mie fluids.

A closer investigation into the Kempers model revealed that the underlying assumptions likely do not hold. The assumption that the steady state of an ideal gas is at a maximum in the canonical partition function appears to be inconsistent with Enskog theory. Given the demonstrated reliability of the predictions obtained from the Enskog solutions in the low density regime, it is deemed unlikely that this is due to a fault in Enskog theory. Regardless, part of Kempers assumptions are that Kinetic gas theory will accurately predict the Soret coefficient in the ideal gas state. 

Further, the concept of transport coefficients in an ideal gas was discussed. Both a hard sphere system and a Mie fluid are thermodynamically ideal gases at infinite dilution, but the Enskog solutions provide different transport coefficients for the two. The argument can then be made that even the concept of thermal diffusion in an ideal gas is at best imprecise and at worst meaningless, at least within the framework of Enskog theory. This has ramifications for the manners in which it can be reasonable to split the Soret coefficient into different contributions. Specifically, separating the Soret coefficient into an ideal part and a residual part does not appear to be fruitful, while a separation into an isotopic and a chemical part may still be reasonable.