NED-AdS black holes, extended phase space thermodynamics and Joule--Thomson expansion

TL;DR

This paper explores the thermodynamic phase transitions of charged NED AdS black holes in extended phase space, analyzing their critical behavior, Joule--Thomson expansion, and establishing analogies with Van der Waals systems.

Contribution

It introduces new thermodynamic quantities related to NED coupling and magnetic charge, and demonstrates the validity of thermodynamic laws and Smarr relation for these black holes.

Findings

Black holes exhibit Van der Waals-like phase transitions.

Joule--Thomson expansion and inversion temperature are calculated.

Thermodynamic laws and Smarr relation hold for NED AdS black holes.

Abstract

We study and discuss the critical behavior of charged by nonlinear electrodynamics (NED) AdS black holes in an extended phase space. The negative cosmological constant is treated as a thermodynamic pressure and the black hole mass is considered as the chemical enthalpy. We show the analogy of thermodynamics and phase transitions studied with the Van der Waals liquid-gas system. We introduce new thermodynamic quantities conjugated to the NED coupling and a magnetic charge. It was demonstrated that the first low of black hole thermodynamics and the Smarr relation hold. We have calculated the Joule--Thomson thermodynamic coefficient and inversion temperature and the Joule--Thomson adiabatic expansion is investigated.