Thermodynamics and the Joule-Thomson Expansion of Charged Hayward-AdS Black Hole in the Extended Phase Space

Abstract

In this paper, we study the thermodynamic behavior of charged Hayward-AdS black hole in the extended phase space by treating the cosmological constant as a thermodynamical pressure and its conjugate quantity as a thermodynamic volume. Firstly, we derive the solution of the charged Hayward-AdS black hole and investigate its basic mechanical properties. Then, for the regular black hole, we obtain the Hawking temperature and derive other thermodynamic quantities within the framework of the corrected first law of black hole thermodynamics. The phase transition behavior of the charged black hole is observed by examining its heat capacity. Furthermore, we obtain the critical points of the black hole under certain parameters through the equation of state. When the pressure is less than the critical pressure, we can observe that the regular black hole exhibits a swallowtail behavior. We further investigated the Joule-Thomson expansion of the charged Hayward-AdS black hole and make comparisons with the RN-AdS black hole. Additionally, in the Appendix, we provide the primary thermodynamic properties of the Hayward-AdS black hole to fill the gap in thermodynamic studies of Hayward-AdS black hole within the framework of the corrected first law of thermodynamics.