Joule-Thomson expansion of $AdS$ black holes in Einstein-power-Yang-Mills gravity

TL;DR

This paper investigates the Joule-Thomson expansion of AdS black holes in Einstein-power-Yang-Mills gravity, deriving inversion curves, temperature ratios, and analyzing heating and cooling regions in extended phase space thermodynamics.

Contribution

It provides the first analytical expressions for inversion curves and temperature ratios in non-linearly charged AdS black holes within Einstein-power-Yang-Mills gravity.

Findings

Derived the Joule-Thomson coefficient and inversion curves.

Obtained the ratio of minimum inversion temperature to critical temperature.

Analyzed heating and cooling regions for different black hole masses.

Abstract

In this paper we study Joule-Thomson $(JT)$ expansion of non-linearly charged $AdS$ black holes in Einstein-power-Yang-Mills (EPYM) gravity in $D$ dimensions. Within the framework of extended phase space thermodynamics we identify the cosmological constant as thermodynamic pressure and the black hole mass with the enthalpy and derive the Joule-Thomson coefficient $\mu$. Furthermore we have presented equations for inversion curves and the exact expression for the minimum inversion temperature. We also have calculated the ratio between the minimum of inversion $T_i^{min}$ and the critical temperature $T_c$ and obtained the analytic expression for the ratio $\frac{T_i^{min}}{T_c}$ that depends explicitly on the non-linearity parameter $q$ and dimension $D$. We consider the isenthalpic curves in the $T- P$ plane for different values of the fixed black hole mass and obtain heating and cooling region. Finally we have dealt with two limiting masses which characterizes the process of Joule-Thomson expansion in the $EPYM$ black holes.