Joule-Thomson Expansion of Born-Infeld AdS Black Holes

TL;DR

This paper investigates the thermodynamic behavior of Born-Infeld AdS black holes during Joule-Thomson expansion, analyzing inversion and isenthalpic curves across different dimensions and parameter regimes.

Contribution

It provides a detailed analysis of Joule-Thomson expansion for Born-Infeld AdS black holes, including the effects of parameters and higher dimensions, extending previous studies.

Findings

Negative slope in inversion curves is preserved.

Inversion temperature ratios approach 1/2 as charge or parameter increases.

Results are consistent with known higher-dimensional black hole thermodynamics.

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.