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arXiv · 2009.02172

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

Zhong-Wen Feng·Xia Zhou·Guansheng He·Shi-Qi Zhou
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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.

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Zhong-Wen Feng, Xia Zhou, Guansheng He, Shi-Qi Zhou. 2020-09-04. Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity. https://doi.org/10.1088/1572-9494%2Fabecd9

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