Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space

Abstract

We study the thermodynamics and thermodynamic geometry of a five-dimensional Reissner-Nordström-AdS black hole in the extended phase space by treating the cosmological constant as being related to the number of colors in the boundary gauge theory and its conjugate quantity as the associated chemical potential. It is found that the contribution of the charge of the black hole to the chemical potential is always positive and the existence of charge make the chemical potential become positive more easily. We calculate the scalar curvatures of the thermodynamical Weinhold metric, Ruppeiner metric and Quevedo metric, respectively, in the fixed $N^2$ case and the fixed $q$ case. It is found that in the fixed $N^2$ case the divergence of the scalar curvature is related to the divergence of the specific heat with fixed electric potential in the Weinhold metric and Ruppeiner metric, and the divergence of the scalar curvature in the Quevedo metric corresponds to the divergence of the specific heat with fixed electric charge density. In the fixed $q$ case, however, the divergence of the scalar curvature is related to the divergence of the specific heat with fixed chemical potential in the Weinhold metric and Ruppeiner metric, while in the Quevedo metric the divergence of the scalar curvature corresponds to the divergence of the specific heat with fixed number of colors and the vanishing of the specific heat with fixed chemical potential.

arXiv comment24pages,12 figures. arXiv admin note: substantial text overlap with arXiv:1409.5305

References in corpus (43)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of 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
• Black Holes and Critical Points in Moduli Space
• Reentrant Phase Transitions in Rotating AdS Black Holes
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Holographic Heat Engines
• Geometrothermodynamics
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• 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
• Geometry of black hole thermodynamics
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Thermodynamic Geometry and Critical Behavior of Black Holes
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• Geometrothermodynamics of black holes
• Geometry of Higher-Dimensional Black Hole Thermodynamics
• Thermodynamic Curvature of the BTZ Black Hole
• 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
• Effects of dark energy on P-V criticality of charged AdS black holes
• On Thermodynamics of AdS Black Holes in Arbitrary Dimensions
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Critical phenomena of static charged AdS black holes in conformal gravity
• Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• Bose condensation and branes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Correspondence of phase transition points and singularities of thermodynamic geometry of black holes
• Ehrenfest scheme for $P-V$ criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
• Phase transitions in geometrothermodynamics
• Geometrothermodynamics of higher dimensional black holes
• Thermodynamic properties of asymptotically Reissner-Nordstrom black holes
• Thermodynamics and Thermodynamic geometry of Park black hole
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces

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