Joule-Thomson expansion of Born-Infeld AdS black holes

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 using a 4-dimensional black hole. The critical point of a 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 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. The ratio is asymptotically 1/2 as Q increases or beta -> infinity with D = 4, and reproduces previous results at higher dimensions.

Automated summary

This paper investigates the Joule-Thomson expansion of Born-Infeld AdS black holes in the extended phase space, discussing detail the Joule-Thomson coefficient, inversion curves, and isenthalpic curves using a 4-dimensional black hole. Critical points and curves in the T - P plane are analyzed with different parameters beta and charge Q. It is found that the missing negative slope is still conserved in Born-Infeld black holes, and the results are extended to higher dimensions beyond 4. Comparisons are made on critical temperatures and inversion temperature minima, showing a ratio of asymptotically 1/2 as Q increases or beta approaches infinity, consistent with previous findings in higher dimensions.