Comparison of thermodynamic behaviors of two regular-AdS black holes

Abstract Considering the negative cosmological constant of an anti-de Sitter (AdS) background as a positive thermodynamic pressure in extended phase space, we investigate P ? ? critical behavior and cooling–heating transition regular Hayward-AdS (HAdS) black hole (BH), compare difference some processes both HAdS BH Bardeen-AdS (BAdS) BH. We found that BAdS tends to be more van der Waals (vdW) transition. For transition, obtained inversion curves are always higher than under same magnetic charge. also smallest existence mass, zero-temperature remnant, charge for these two BHs. The results suggested inner horizon outer Hayward easier merge, singularity is expose.