AdS black holes in the framework of nonlinear electrodynamics, thermodynamics and Joule--Thomson expansion

TL;DR

This paper explores the thermodynamics, phase transitions, and Joule--Thomson expansion of magnetic AdS black holes within nonlinear electrodynamics, revealing critical points and thermodynamic behaviors analogous to classical liquids.

Contribution

It introduces an extended phase space thermodynamics framework for NED-AdS black holes, including conjugate quantities and analysis of Joule--Thomson expansion, highlighting novel thermodynamic properties.

Findings

Black hole thermodynamics mimic Van der Waals fluid behavior.

Critical points of phase transitions are identified.

Inversion temperature depends on pressure with a minimum point.

Abstract

Thermodynamics and phase transitions of magnetic Anti-de Sitter black holes are studied. We consider an extended phase space thermodynamics with the cosmological constant being a thermodynamic pressure and the black hole mass is treated as a chemical enthalpy. The extended phase space thermodynamics of black holes mimics the behavior of the Van der Walls liquid. Quantities conjugated to the coupling of nonlinear electrodynamics (NED) and a magnetic charge are obtained. Thermodynamic critical points of phase transitions are investigated. It is demonstrated that the first law of black hole thermodynamics and the generalized Smarr relation take place. The Joule--Thomson adiabatic expansion of NED-AdS black holes is studied. The dependence of inversion temperature on pressure and the minimum of inversion temperature are found.