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arXiv · 2006.08920

Joule-Thomson Expansion of Born-Infeld AdS Black Holes

Shihao Bi·Minghao Du·Jun Tao·Feiyu Yao
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Abstract

In this paper, the Joule-Thomson expansion of Born-Infeld AdS black holes is studied in the extended phase space, where the cosmological constant is identified with the pressure. The Joule-Thomson coefficient, the inversion curves and the isenthalpic curves are discussed in detail by 4-dimensional black hole. The critical point of Born-Infeld black hole is depicted with varying parameter $\beta$ and the charge $Q$. In $T-P$ plane, the inversion temperature curves and isenthalpic curves are obtained with different parameter $\beta$ and the charge $Q$. We find that the missing negative slope is still conserved in Born-Infeld black holes. We also extend our discussion to arbitrary dimension higher than 4. The critical temperature and the minimum of inversion temperature are compared, and the ratio is asymptotically $1/2$ as $Q$ increases or $\beta\to\infty$ in $D=4$, and reproduce the previous results in higher dimension.

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Shihao Bi, Minghao Du, Jun Tao, Feiyu Yao. 2020-06-16. Joule-Thomson Expansion of Born-Infeld AdS Black Holes. https://arxiv.org/abs/2006.08920

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