Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

Abstract

We study the triple points and phase diagrams in the extended phase space of the charged Gauss-Bonnet black holes in $d$-dimensional anti-de Sitter space, where the cosmological constant appears as a dynamical pressure of the system and its conjugate quantity is the thermodynamic volume of the black holes. Employing the equation of state $T=T(v,P)$, we demonstrate that the information of the phase transition and behavior of the Gibbs free energy are potential encoded in the $T-v$ ($T-r_h$) line with fixed pressure $P$. We get the phase diagrams for the charged Gauss-Bonnet black holes with different values of the charge $Q$ and dimension $d$. The result shows that the small/large black hole phase transitions appear for any $d$, which is reminiscent of the liquid/gas transition of a van der Waals type. Moreover, the interesting thermodynamic phenomena, i.e., the triple points and the small/intermediate/large black hole phase transitions are observed for $d=6$ and $Q\in (0.1705,0.1946)$.

17 pages, 15 figures, 2 tables, typos corrected and references added

References in corpus (7)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
• Phase transitions and critical behavior of black branes in canonical ensemble
• Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity

Cited by in corpus (167)

• Black hole chemistry: thermodynamics with Lambda
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Black Hole Chemistry
• van der Waals like behaviour of topological AdS black holes in massive gravity
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Joule-Thomson Expansion of Kerr-AdS Black Holes
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• Effects of dark energy on P-V criticality of charged AdS black holes
• P-V Criticality in Quasitopological Gravity
• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Critical phenomena of static charged AdS black holes in conformal gravity
• Topology of black hole thermodynamics in Gauss-Bonnet gravity
• Topology of black hole thermodynamics in Lovelock gravity
• A new approach toward geometrical concept of black hole thermodynamics
• Black holes in Einsteinian cubic gravity
• Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space
• Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
• Analytical and exact critical phenomena of $d$-dimensional singly spinning Kerr-AdS black holes
• Topology of Born-Infeld AdS black holes in 4D novel Einstein-Gauss-Bonnet gravity
• Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
• Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes
• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
• Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes
• Black holes and Boyle's law -- the thermodynamics of the cosmological constant
• $D$-dimensional Bardeen-AdS black holes in Einstein-Gauss-Bonnet theory
• The topological natures of the Gauss-Bonnet black hole in AdS space
• Joule-Thomson expansion of charged AdS black holes in Rainbow gravity
• Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Critical Phenomena of Charged de Sitter Black Holes in Cavities
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Universality of P-V Criticality in Horizon Thermodynamics
• Multi-critical Points in Black Hole Phase Transitions
• Mass and Thermodynamic Volume in Lifshitz Spacetimes
• Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Observing dynamic oscillatory behavior of triple points among black hole thermodynamic phase transitions
• Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
• Thermodynamic topology of black Holes in f(R) gravity
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Effects of power-law Maxwell field on the Van der Waals like phase transition of higher dimensional dilaton black holes
• Charged AdS black hole heat engines
• Dynamic properties of thermodynamic phase transition for five-dimensional neutral Gauss-Bonnet AdS black hole on free energy landscape
• Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
• Joule-Thomson expansion of the Bardeen-AdS black holes
• Probing Phase Structure of Black Holes with Lyapunov Exponents
• Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Peculiar $P-V$ criticality of topological Hořava-Lifshitz black holes
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• A note on Maxwell's equal area law for black hole phase transition
• Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
• Microstructure of charged AdS black hole via $P-V$ criticality
• Joule-Thomson expansion of Lower-dimensional black hole
• Thermodynamic properties of higher-dimensional dS black holes in dRGT massive gravity
• Black hole evaporation in Lovelock gravity with diverse dimensions
• Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
• Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity
• Equilibrium Temperature for Black Holes with Nonextensive Entropy
• Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in different ensembles
• Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space
• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• Critical behavior of Gauss-Bonnet black holes via an alternative phase space
• Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
• Multicritical Phase Transitions in Lovelock AdS Black Holes
• Phase transition and microstructures of five-dimensional charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble
• Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes
• Black Hole Chemistry: the first 15 years
• Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
• Effects of dark energy on dynamic phase transition of charged AdS black holes
• Black hole evaporation in Conformal (Weyl) gravity
• Multicritical Phase Transitions in Multiply Rotating Black Holes
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Thermodynamics and phase transition of charged AdS black holes with a global monopole
• Holographical aspects of dyonic black holes: Massive gravity generalization
• $Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional RN-AdS black holes
• Thermodynamic instability of topological black holes in Gauss-Bonnet gravity with a generalized electrodynamics
• Phase Transition and Clapeyon Equation of Black Hole in Higher Dimensional AdS Spacetime
• Phase transition and thermodynamic stability of topological black holes in Hořava-Lifshitz gravity
• Universal criticality of thermodynamic curvatures for charged AdS black holes
• Charged black hole chemistry with massive gravitons
• Generalized free energy and dynamical state transition of the dyonic AdS black hole in the grand canonical ensemble
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Dynamic behaviours of black hole phase transitions near quadruple points
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Topology of black hole thermodynamics via Rényi statistics
• Horizon Thermodynamics from Einstein's Equation of State
• Null Geodesics and Thermodynamic Phase Transition of Four-Dimensional Gauss-Bonnet AdS Black Hole
• Phase transition and entropic force of de Sitter black hole in massive gravity
• Five-Dimensional Yang-Mills Black Holes in Massive Gravity's Rainbow
• QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes
• Clapeyron equation and phase equilibrium properties in higher dimensional charged topological dilaton AdS black holes with a nonlinear source
• Motion deviation of test body induced by spin and cosmological constant in extreme mass ratio inspiral binary system
• Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Triple points and novel phase transitions of dyonic AdS black holes with quasitopological electromagnetism
• Topological Interpretation of Black Hole Phase Transition in Gauss-Bonnet Gravity
• Joule-Thomson expansion of charged dilatonic black holes
• Shadow thermodynamics of the Hayward-AdS black hole
• Photon sphere and phase transition of $d$-dimensional ($d\ge 5$) charged Gauss-Bonnet AdS black holes
• Maxwell's equal area law for black holes in power Maxwell invariant
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• Restricted phase space thermodynamics of Einstein-power-Yang-Mills AdS black hole
• Entropy of Higher Dimensional Charged Gauss-Bonnet Black hole in de Sitter Space
• Black String in Massive Gravity
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• Microstructure and Continuous Phase Transition of the Gauss-Bonnet AdS Black Hole
• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Thermodynamics and Joule-Thomson Expansion for Schwarzschild-AdS Black Holes with Cloud of Strings and Quintessential-like Fluid
• Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
• Thermodynamic geometry of pure Lovelock black holes
• Thermodynamic geometry and phase transition of spinning AdS black holes
• Quasinormal Modes and Van der Waals like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity
• Thermodynamic Volume of Cosmological Solitons
• Deciphering black hole phase transitions through photon spheres
• Holographic Entanglement Entropy and Van der Waals transitions in Einstein-Maxwell-dilaton theory
• Universality for Black Hole Heat Engines Near Critical Points
• Joule-Thomson effect of AdS black holes in conformal gravity
• Testing the microstructure of $d$-dimensional charged Gauss-Bonnet anti-de Sitter black holes
• Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
• Thermal stability of a special class of black hole solutions in F(R) gravity
• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• On the thermodynamic phase structure of conformal gravity
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Thermodynamic Phase Transition of Generalized Ayon-Beato Garcia Black Holes
• Entropy of higher-dimensional topological dS black holes with nonlinear source
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics
• Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
• Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space
• Joule-Thomson Expansion of Born-Infeld AdS Black Holes
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• Generalized holographic complexity of rotating black holes
• The entropic force between two horizons of charged Gauss-Bonnet Black hole in de Sitter Spacetime
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Topology of black hole thermodynamics: A brief review
• Phase Transition of the Horava-Lifshitz AdS black holes
• Cylindrical black hole solutions in $f(\mathcal{R})$ and $f(\mathcal{R},\mathcal{A},A^{\mu \nu }{A}_{\mu \nu })$ modified gravity
• Thermodynamic features of AdS black holes within the Rastall gravity and perfect fluid matter framework
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Phantom BTZ black holes
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Coexistence curve and molecule number density of AdS topological charged black hole in massive gravity
• $P-V$ criticality and Joule-Thomson Expansion of Hayward-AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Topological perspective on bulk boundary thermodynamic equivalence
• Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime
• Phase transitions of GUP-corrected charged AdS black hole
• Black hole images as probes of thermodynamic evolution
• Thermodynamics of Barrow Einstein-power-Yang-Mills AdS black hole in the restricted phase space
• Adiabatic Processes for Charged AdS Black Hole in the Extended Phase Space
• Lovelock black holes with double-logarithmic electrodynamics source
• Holographic CFT phase transitions and criticality for charged Gauss-Bonnet AdS black holes in the ensemble at fixed $(C,\mathcal{V},\tilde{Q},\tilde{\mathcal{A}})$
• Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant
• Universal thermodynamic topological classes of the charged dRGT black string
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Revisiting particle circular orbits as probes of black hole phase transitions