Critical behavior of charged dilaton black holes in AdS space

Abstract

We revisit critical behaviour and phase structure of charged anti-deSitter (AdS) dilaton black holes for arbitrary values of dilaton coupling $\alpha$, and realize several novel phase behaviour for this system. We adopt the viewpoint that cosmological constant (pressure) is fixed and treat the charge of the black hole as a thermodynamical variable. We study critical behaviour and phase structure by analyzing the phase diagrams in $T-S$ and $q-T$ planes. We numerically derive the critical point in terms of $\alpha$ and observe that for $\alpha =1$ and $\alpha \ge \sqrt{3}$, the system does not admit any critical point, while for $0<\alpha <1$, the critical quantities are not significantly affected by $\alpha$. We find that unstable behavior of the Gibbs free energy for $q<q_c$ exhibits a \textit{first order} (discontinuous) phase transition between small and large black holes for $0\le \alpha <1$. For $1<\alpha <\sqrt{3}$ and $q>q_c$, however, a novel first order phase transition occurs between small and large black hole, which has not been observed in the previous studies on phase transition of charged AdS black holes.

arXiv comment8 pages, 10 figures

References in corpus (37)

• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Superfluid Black Holes
• Critical phenomena in Born-Infeld AdS black holes
• Dilaton Black Holes in de Sitter or Anti-de Sitter Universe
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• P-V criticality of charged dilatonic black holes
• P-V criticality of AdS black holes in a general framework
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Thermodynamic instability of charged dilaton black holes in AdS spaces
• Higher Dimensional Dilaton Black Holes with Cosmological Constant
• Reentrant phase transition of Born-Infeld-AdS black holes
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Novel phase transition in charged dilaton black holes
• Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces
• Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics
• Critical behavior of Born-Infeld dilaton black holes
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Critical behavior of Gauss-Bonnet black holes via an alternative phase space
• Charged rotating dilaton black strings in AdS spaces
• Universality class of alternative phase space and Van der Waals criticality
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• Reentrant phase transition of Born-Infeld-dilaton black holes
• Critical behaviour of Lifshitz dilaton black holes
• Charged black hole chemistry with massive gravitons
• Phase Structure and QNMs of A Charged AdS Dilaton Black Hole
• Comment on "Insight into the Microscopic Structure of an AdS Black Hole from a Thermodynamical Phase Transition"
• Counterterm method in dilaton gravity and the critical behavior of dilaton black holes with power-Maxwell field

Cited by in corpus (7)

• Microstructure of charged AdS black hole via $P-V$ criticality
• Thermodynamic topology of topological charged dilatonic black holes
• Bernstein spectral method for quasinormal modes of a generic black hole spacetime and application to instability of dilaton-de Sitter solution
• Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
• Thermodynamic and observational implications of black holes in toroidal geometry
• Bardeen-Kiselev black hole with cosmological constant