“…In contrast, the thermodynamic instability was included in consideration in [1,2,8], which resulted in PT criteria. This allows one to consider problems at the actual physical space scale where thermodynamic instability is important, e.g., for very fast heating much higher than the melting and even solid instability temperatures [55,56], as well as for barrierless surface-induced melting, especially for nanoparticles [57,58], and for melting within an interface between two solids [24-26, 29, 31], which all may occur significantly below melting and melt instability temperatures. The interpolation function (18) that satisfies all conditions has been used for various applications for a long time [1,2,33,46,47,52,53].…”