Magnetic black holes in AdS space with nonlinear electrodynamics, extended phase space thermodynamics and Joule--Thomson expansion

Abstract

Thermodynamics of magnetically charged black holes in Anti-de Sitter space in an extended phase space is studied. The cosmological constant is considered as a pressure and the black hole mass is treated as the chemical entalpy. The black hole thermodynamics is similar to the Van der Waals liquid-gas thermodynamics. Quantities conjugated to the nonlinear electrodynamics parameter and a magnetic charge are obtained. The first law of thermodynamics and the generalized Smarr relation take place. We investigate critical behavior of black holes and Joule--Thomson expansion. The Gibbs free energy, the Joule--Thomson coefficient and the inversion temperature are calculated.

arXiv comment28 pages, 8 figures, 1 table, accepted for publication in IJGMMP

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• Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• 4D Einstein--Gauss--Bonnet gravity coupled to modified logarithmic nonlinear electrodynamics