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arXiv · 2106.11066

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

Anindya Biswas
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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 $μ$. 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.

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Anindya Biswas. 2021-06-17. Joule-Thomson expansion of $AdS$ black holes in Einstein-power-Yang-Mills gravity. https://doi.org/10.1088/1402-4896%2Fac2b42

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