Clapeyron equations and fitting formula of the coexistence curve in the extended phase space of charged AdS black holes

Abstract

In this paper, we first review the equal area laws and Clapeyron equations in the extended phase space of the charged anti-de Sitter black holes. With different fixed parameters, the Maxwell's equal area law holds not only in the pressure-thermodynamic volume oscillatory line, but also in the charge-electric potential and temperature-entropy oscillatory lines. The conventional Clapeyron equation is generalized and two extra equations are found. Moreover, we show that the coexistence curve of the small and large charged black holes is charge independent in the reduced parameter space for any dimension of spacetime. The highly accurate fitting formula for the coexistence curve is also presented. Using this fitting formula of the coexistence curve, we find that the Clapeyron equations are highly consistent with the calculated values. The fitting formula is also very useful for further study on the thermodynamic property of the system varying along the coexistence curve.

arXiv comment13 pages, 7 figures, 2 tables. The coexistence curves are refitted, and the figures and tables are changed accordingly. Accepted for publication in PRD

References in corpus (36)

• Gauge Theory Correlators from Non-Critical String Theory
• 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
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• Reentrant Phase Transitions in Rotating AdS Black Holes
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• 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
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• Isolated critical point from Lovelock gravity
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Van der Waals black hole
• Thermodynamics of phase transition in higher dimensional AdS black holes
• Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
• A unified picture of phase transition: from liquid-vapour systems to AdS black holes
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• On the Universality of Inner Black Hole Mechanics and Higher Curvature Gravity
• Ehrenfest scheme for $P-V$ criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Phase transitions of hairy black holes in massive gravity and thermodynamic behavior of charged AdS black holes in an extended phase space
• Gravitational Tension and Thermodynamics of Planar AdS Spacetimes
• Vacuum energy and the latent heat of AdS-Kerr black holes
• Ehrenfest scheme for complex thermodynamic systems in full phase space

Cited by in corpus (55)

• Black hole chemistry: thermodynamics with Lambda
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Black Hole Chemistry
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Topology of black hole thermodynamics
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• P-V criticality of AdS black holes in a general framework
• Analytical and exact critical phenomena of $d$-dimensional singly spinning Kerr-AdS black holes
• Critical phenomena of regular black holes in anti-de Sitter space-time
• Van der Waals phase transition in the framework of holography
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Effects of energy dependent spacetime on geometrical thermodynamics and heat engine of black holes: gravity's rainbow
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Kinetics of a phase transition for a Kerr-AdS black hole on the free-energy landscape
• Critical phenomena in the extended phase space of Kerr-Newman-AdS black holes
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Combined effects of f(R) gravity and conformally invariant Maxwell field on the extended phase space thermodynamics of higher-dimensional black holes
• Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
• Phase structure of the Born-Infeld-anti-de Sitter black holes probed by non-local observables
• Charged AdS black hole heat engines
• Effects of power-law Maxwell field on the Van der Waals like phase transition of higher dimensional dilaton black holes
• Dynamic properties of thermodynamic phase transition for five-dimensional neutral Gauss-Bonnet AdS black hole on free energy landscape
• Critical phenomena and chemical potential of charged AdS black hole
• Parametric phase transition for Gauss-Bonnet AdS black hole
• On the throttling process of the Kerr-Newman-anti-de Sitter black holes in the extended phase space
• A note on Maxwell's equal area law for black hole phase transition
• Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space
• Critical behavior of AdS black holes surrounded by dark fluid with Chaplygin-like equation of state
• Phase transition and microstructures of five-dimensional charged Gauss-Bonnet-AdS black holes in the grand canonical ensemble
• Validity of Maxwell Equal Area Law for Black Holes Conformally Coupled to Scalar Fields in ${\text{AdS}}_5$ Spacetime
• Black Hole Chemistry: the first 15 years
• Maxwell's equal area law for Lovelock Thermodynamics
• Universal criticality of thermodynamic curvatures for charged AdS black holes
• Phase transitions of black holes in massive gravity
• QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes
• Black Holes in $4D$ AdS Einstein Gauss Bonnet Gravity With Power- Yang Mills Field
• Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
• Signal of phase transition hidden in quasinormal modes of regular AdS black holes
• The zeroth law in quasi-homogeneous thermodynamics and black holes
• Analytic phase structures and thermodynamic curvature for the charged AdS black hole in alternative phase space
• Testing the microstructure of $d$-dimensional charged Gauss-Bonnet anti-de Sitter black holes
• Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
• 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
• Analytical Critical Phenomena of Rotating Regular AdS Black Holes with Dark Energy
• Holographic Van der Waals phase transition of the higher dimensional electrically charged hairy black hole
• Thermodynamic features of AdS black holes within the Rastall gravity and perfect fluid matter framework
• The generalization of charged AdS black hole specific volume and number density
• Responses of AdS black holes to the collective influence of quintessence and string cloud
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• Holographic phase transition probed by non-local observables
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Universality on thermodynamic relation with corrections in higher-dimensional de Sitter black holes