Joule-Thomson Expansion of Born-Infeld AdS Black Holes

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 ${\hat{I}}^2$ and the charge $Q$. In $T-P$ plane, the inversion temperature curves and isenthalpic curves are obtained with different parameter ${\hat{I}}^2$ 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 ${\hat{I}}^2\to \infty$ in $D=4$, and reproduce the previous results in higher dimension.

20 pages, 18 figures, accepted by Chinese Physics C