Joule-Thomson expansion of Lower-dimensional black hole

Abstract

The Joule-Thomson expansion is extended to the lower-dimensional regime by considering the rotating BTZ metric in the (2+1)-dimensional space-time. Specifically, the properties of three important aspects of the Joule-Thomson expansion, namely the Joule-Thomson coefficient, the inversion curve and the isenthalpic curve are focused on. The divergence point of the Joule-Thomson coefficient and the zero point of the Hawking temperature are studied. The inversion temperature curves and isenthalpic curves in the T − P plane are obtained and the cooling-heating regions are determined. Furthermore, the minimum inversion temperature is found to be zero, and the black hole becomes an extremal black hole. The ratio between the minimum inversion temperature and the critical temperature for the BTZ black hole doesn't exist, since the BTZ black hole does not have the critical behavior in P c , T c and V c .

Holographic Joule-Thomson Expansion in Lower Dimensions

“…It should be noted that while we were preparing this article, we noticed that a study of Joule-Thomson expansion for the case of rotating BTZ black holes had appeared in arXiv:2104.08841[69]. Our work constitutes a substantial extension of[69] and the overlapping results in Sec. III were developed independently around the same time.…”

“…Recently, in Ref. [69], the authors have studied this thermodynamic process only for the case of rotating BTZ black holes. 2 But, in this paper we carry out a more extensive study of Joule-Thomson expansion in lower-dimensional black hole spacetimes by considering different backgrounds including rotating, charge and charged rotating BTZ black holes.…”

Holographic Joule-Thomson expansion in lower dimensions

“…In section 4, we will study the Joule-Thomson expansion for charged BTZ black holes within scheme II and will obtain the analytic relations for Joule-Thomson coefficient, inversion curves and the isenthalps. Section 5 provides discussion on 2 It should be noted that while we were preparing this article, we noticed that a study of Joule-Thomson expansion for the case of rotating BTZ black holes had appeared in arXiv:2104.08841 [69]. Our work constitutes a substantial extension of [69] and the overlapping results in section 3 were developed independently around the same time.…”

“…Section 5 provides discussion on 2 It should be noted that while we were preparing this article, we noticed that a study of Joule-Thomson expansion for the case of rotating BTZ black holes had appeared in arXiv:2104.08841 [69]. Our work constitutes a substantial extension of [69] and the overlapping results in section 3 were developed independently around the same time. However, here for the first time, the study of Joule-Thomson expansion for the charged BTZ black holes in two different thermodynamic schemes is presented in section 4.…”

“…So far the investigations for holographic Joule-Thomson expansion have concentrated on the cases of 4-and higher-dimensional spacetimes and their lower-dimensional (BTZ) cousins has been considerably less explored. Recently, in [69], the authors have studied this thermodynamic process only for the case of rotating BTZ black holes. 2 But, in this paper we carry out a more extensive study of Joule-Thomson expansion in lowerdimensional black hole spacetimes by considering different backgrounds including rotating, charge and charged rotating BTZ black holes.…”