Rational nonlinear electrodynamics of AdS black holes and extended phase space thermodynamics

Abstract

The critical behavior of magnetically charged by rational nonlinear electrodynamics (RNED) AdS black holes in an extended phase space is investigated. The cosmological constant is considered as a thermodynamic pressure and the black hole mass is identified with the chemical enthalpy. The analogy with the Van der Waals liquid-gas system is found and the critical exponents coincide with those of the Van der Waals system. The thermodynamics of RNED-AdS black holes and phase transitions are studied. A new thermodynamic quantities conjugated to the nonlinear parameter of RNED and a magnetic charge are defined. It is demonstrated the consistency of the first law of black hole thermodynamics and the Smarr formula.

24 pages, 10 figures, 1 table

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• Magnetic black holes within Einstein-AdS gravity coupled to nonlinear electrodynamics, extended phase space thermodynamics and Joule-Thomson expansion
• The heat engine of magnetic black holes in AdS space with rational nonlinear electrodynamics
• Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
• Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics