Joule-Thomson Expansion of RN-AdS Black Hole Immersed in Perfect Fluid Dark Matter

Abstract

In this paper, we study the Joule-Thomson expansion for RN-AdS black holes immersed in perfect fluid dark matter. Firstly, the negative cosmological constant could be interpreted as thermodynamic pressure and its conjugate quantity with the volume gave us more physical insights into the black hole. We derive the thermodynamic definitions and study the critical behaviour of this black hole. Secondly, the explicit expression of Joule-Thomson coefficient is obtained from the basic formulas of enthalpy and temperature. Then, we obtain the isenthalpic curve in T − P graph and demonstrate the cooling-heating region by the inversion curve. At last, we derive the ratio of minimum inversion temperature to critical temperature and the inversion curves in terms of charge Q and parameter λ.

Joule-Thomson expansion of Lower-dimensional black hole

“…Kerr-AdS black holes [47], regular(Bardeen)-AdS black holes [48], RN-AdS black holes in f (R) gravity [49], quintessence RN-AdS black holes [50], Bardeen-AdS black holes [51] and other black holes [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71]. In these papers, the inversion curves, the isenthalpic curves and the heating-cooling regions in the T −P plane for different black holes were given.…”