The interfacial energy of two solids at 0 K is well defined. However, what is the definition of interfacial energy between, e.g. a solid and a liquid at elevated temperature?
I checked literature. There are publications to address this issue. For an interface betwee a solid and related liquid, people use the calculated 'free energies' and their ifference to obtain the interface 'free energy' at elevated temperature. These 'free energies' were obtained from molecular dynamics simulations. I am still not sure about these results since for most molecular dynamics simulations, the obtained free energy for a system like a liquid may not be complete, considering the the difficulty to get its partition function at elevated temperature.