Hayward black hole heat engine efficiency in anti-de Sitter space

Abstract: In this paper, we attempt to further study the heat engine efficiency for the regular black hole (BH) with an anti-de Sitter (AdS) background where the working material is the Hayward-AdS (HAdS) BH. In the extended phase space, we investigate the heat engine efficiency of the HAdS BH by defining the cosmological constant as the thermodynamic pressure $P$ and deriving the mechanical work from the $PdV$ terms. Then, we obtain the relation between the efficiency and the entropy/pressure and plot these function figures. Meanwhile, we compare the relation between the HAdS BH with that of the Bardeen-AdS (BAdS) BH, which is found that the efficiency of the HAdS BH increase with increase the magnetic charge $q$ in contrast to that of the BAdS BH decrease with increase the magnetic charge $q$. We found that the HAdS BH is more efficient than the BAdS BH, and guess that is related to the BH structure.