Tricritical point and solid/liquid/gas phase transition of higher dimensional AdS black hole in massive gravity

Abstract

By considering the fifth order term of the interaction potential in massive gravity theory, we study the $P-V$ critical behaviors of AdS black hole in $d\ge 7$ dimensional space-time, and find the tricritical point and the solid/liquid/gas phase transition in addition to the Van der Waals-like phase and the reentrant phase transition of the system. The critical phenomena of black holes depend crucially on the number $n$ of interaction potential terms.

arXiv comment16 pages, 18 figures

References in corpus (23)

• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Theoretical Aspects of Massive Gravity
• Black hole chemistry: thermodynamics with Lambda
• 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
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• P-V criticality in the extended phase space of black holes in massive gravity
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• Compressibility of rotating black holes
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Critical phenomena of static charged AdS black holes in conformal gravity
• P-V criticality of charged dilatonic black holes
• Universality of P-V Criticality in Horizon Thermodynamics
• Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity
• Thermal phase transitions of dimensionally continued AdS black holes
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces