$Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional RN-AdS black holes

Abstract

In order to achieve a deeper understanding of gravity theories, it is important to further investigate the thermodynamic properties of black hole at the critical point, besides the phase transition and critical behaviors. In this paper, by using Maxwell's equal area law, we choose $T,Q,\Phi$ as the state parameters and study the phase equilibrium problem of general $(n+1)$-dimensional RN-AdS black holes thermodynamic system. The boundary of the two-phase coexistence region and its isotherm and isopotential lines are presented, which may provide theoretical foundation for studying the phase transition and phase structure of black hole systems.

10 pages, 26 figures

References in corpus (14)

• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• P-V criticality in the extended phase space of black holes in massive gravity
• Effects of dark energy on P-V criticality of charged AdS black holes
• Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes
• 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
• Ehrenfest scheme for $P-V$ criticality of higher dimensional charged black holes, rotating black holes and Gauss-Bonnet AdS black holes
• Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes
• Critical behavior of Born-Infeld dilaton black holes
• Phase transitions and Geometrothermodynamics of Regular black holes
• Continuous phase transition and critical behaviors of 3D black hole with torsion
• Thermodynamics and Thermodynamic geometry of Park black hole
• Ehrenfest scheme for complex thermodynamic systems in full phase space
• Thermodynamic Products in Extended Phase Space

Cited by in corpus (15)

• Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics
• Van der Waals criticality in AdS black holes: a phenomenological study
• Thermogeometric description of the van der Waals like phase transition in AdS black holes
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach
• $Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity
• Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• Entropy of Higher Dimensional Charged Gauss-Bonnet Black hole in de Sitter Space
• The extended uncertainty principle effects on the phase transitions of Reissner-Nordström and Schwarzschild black holes
• Phase transition of non-linear charged Anti-de Sitter black holes
• Three body radiative decay $B_s\to \varphi {\bar{K}}^0\gamma$ in the PQCD approach
• Effects of global monopole on critical behaviors and microstructure of charged AdS black holes
• Ratio of critical quantities related to Hawking temperature-entanglement entropy criticality