Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity

TL;DR

This paper studies the Joule-Thomson expansion in higher-dimensional nonlinearly charged AdS black holes, revealing how various parameters influence inversion temperature, temperature ratios, and isenthalpic curves.

Contribution

It provides a detailed analysis of Joule-Thomson expansion in nonlinearly charged higher-dimensional AdS black holes, highlighting the effects of dimensionality, charge, and nonlinearity parameter s.

Findings

Inversion temperature has zero and divergent points corresponding to inversion and Hawking temperatures.

Inversion temperature increases with pressure and depends on parameters D, Q, s.

The temperature ratio is independent of charge Q and approaches a constant as D increases.

Abstract

In this paper, the Joule-Thomson expansion of the higher dimensional nonlinearly AdS black hole with power Maxwell invariant source is investigated. The results show the Joule-Thomson coefficient has a zero point and a divergent point, which are coincide with the inversion temperature $T_i$ and the zero point of Hawking temperature, respectively. The inversion temperature increases monotonously with inversion pressure. For high-pressure region, the inversion temperature decreases with the dimensionality $D$ and the nonlinearity parameter $s$, whereas it increases with the charge $Q$. However, $T_i$ for low-pressure region increase with $D$ and $s$, while it decreases with $Q$. The ratio ${\eta _{\rm{BH}}}$ between the minimum of inversion temperature and the critical temperature does not depend on $Q$, it recovers the higher dimensional Reissner-N\"{o}rdstrom AdS black hole case when $s=1$. However, for $s>1$, it becomes smaller and smaller as $D$ increase and approaches a constant when $D\rightarrow\infty$. Finally, we found that increase of mass $M$ and $s$, or reduce the charge $Q$ and $D$ can enhance the isenthalpic curve, and the effect of $s$ on the isenthalpic curve is much greater than other parameters.