“…Bhattacharya et al [67] consider two types of DE models, which are raised by Xu et al [34], and find that neither the first law of thermodynamics nor the GSLT is valid on the horizon of IR cutoff radius L. Moreover, Radicella and Pavón proved that the united dark fluid model could fulfill the GSLT, but its soundness is in doubt for the entropy's first and second derivatives present a rather peculiar and sharp oscillation [68]. More works about GSLT for the universe driven by HDE can be found in [69,70,71,72,73,74,75,76,77,78].…”