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

TL;DR

This paper investigates the thermodynamic behavior and Joule-Thomson expansion of RN-AdS black holes immersed in perfect fluid dark matter, revealing insights into their phase transitions and cooling-heating properties.

Contribution

It provides explicit formulas for Joule-Thomson coefficients, inversion curves, and analyzes the effects of dark matter parameters on black hole thermodynamics.

Findings

Derived the thermodynamic definitions and critical behavior of the black hole.

Obtained explicit expressions for Joule-Thomson coefficient and inversion curves.

Analyzed the impact of dark matter parameters on cooling-heating regions.

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 $\lambda$.