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, where it is found that the efficiency of the HAdS BH increases with increase in the magnetic charge q in contrast to that of the BAdS BH decrease with increase in the magnetic charge q. We found that the HAdS BH is more efficient than the BAdS BH, and guess that it is related to the BH structure.

中文翻译：

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反德西特空间中的海沃德黑洞热机效率

在本文中，我们尝试进一步研究具有反德西特 (AdS) 背景的常规黑洞 (BH) 的热机效率，其中工作材料是海沃德-AdS (HAdS) BH。在扩展相空间中，我们通过将宇宙学常数定义为热力学压力来研究 HAdS BH 的热机效率磷并从体积分数条款。然后，我们获得效率与熵/压力之间的关系并绘制这些函数图。同时，我们比较了 HAdS BH 与 Bardeen-AdS (BAdS) BH 之间的关系，发现 HAdS BH 的效率随着磁荷的增加而增加q与 BAdS BH 相比，随着磁荷的增加而降低q. 我们发现 HAdS BH 比 BAdS BH 更有效，并猜测它与 BH 结构有关。