Critical behavior of Born-Infeld dilaton black holes

Abstract

We explore the critical behavior of (n+1)-dimensional topological Born-Infeld-dilaton black holes in an extended phase space. We treat the cosmological constant and the Born-Infeld (BI) parameter as the thermodynamic pressure and BI vacuum polarization which can vary. We obtain thermodynamic quantities of the system such as pressure, temperature, Gibbs free energy, and investigate the behaviour of these quantities. We also study the analogy of the van der Waals liquid-gas system with the Born-Infeld-dilaton black holes in canonical ensemble in which we can treat the black hole charge as a fixed external parameter. Moreover, we show that the critical values of pressure, temperature and volume are physical provided the coupling constant of dilaton gravity is less than one and the horizon is sphere. Finally, we calculate the critical xponents and show that although thermodynamic quantities depend on the dilaton oupling constant, BI parameter and the dimension of the spacetime, they are universal and are independent of metric parameters.

arXiv comment14 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:1611.00590

References in corpus (23)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Charged Dilaton Black Holes with Unusual Asymptotics
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• Compressibility of rotating black holes
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Critical phenomena in Born-Infeld AdS black holes
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• P-V criticality of charged dilatonic black holes
• Thermodynamics of charged topological dilaton black holes
• $P-V$ criticality and geometrothermodynamics of black holes with Born-Infeld type nonlinear electrodynamics
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• The Extended Thermodynamic Phase Structure of Taub-NUT and Taub-Bolt
• Thermodynamical properties of topological Born-Infeld-dilaton black holes
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces

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