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.

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

References in corpus (8)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• 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
• P-V criticality of charged dilatonic black holes
• Thermodynamics of charged topological dilaton black holes
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Thermodynamical properties of topological Born-Infeld-dilaton black holes
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces

Cited by in corpus (2)

• Novel phase transition in charged dilaton black holes
• Critical behavior of Gauss-Bonnet black holes via an alternative phase space