Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole

Abstract

Born-Infeld AdS black hole exhibits a reentrant phase transition for certain values of the Born-Infeld parameter $b$. This behaviour is an additional feature compared to the van der Waals like phase transition observed in charged AdS black holes. Therefore, it is worth observing the underlying microscopic origin of this reentrant phase transition. Depending on the value of the parameter $b$, the black hole system has four different cases: no phase transition, a reentrant phase transition with two scenarios, or a van der Waals-like (standard) phase transition. In this article, by employing a novel Ruppeiner geometry method in the parameter space of temperature and volume, we investigate the microstructure of Born-Infeld AdS black hole via the phase transition study, which includes standard and reentrant phase transition. We find that the microstructures of the black hole that lead to standard and reentrant phase transitions are distinct in nature. The standard phase transition is characterised by the typical RN-AdS microstructure. In this case, the small black hole phase has a dominant repulsive interaction for the low temperature case. Interestingly, during the reentrant phase transition, displayed by the system in a range of pressures for specific $b$ values, the dominant attractive nature of interaction in the microstructure is preserved. Our results suggest that in the reentrant phase transition case, the intermediate black holes behave like a bosonic gas, and in the standard phase transition case the small black holes behave like a quantum anyon gas. In both cases, the large black hole phase displays an interaction similar to the bosonic gas. The critical phenomenon is observed from the curvature scalar, including the signature of the reentrant phase transition.

arXiv commentThoroughly revised. 17 pages, 9 figures

References in corpus (63)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• 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
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Geometrothermodynamics
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Born-Infeld black holes in the presence of a cosmological constant
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Born-Infeld Black Holes in (A)dS Spaces
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Charged Black Hole Solutions in Einstein-Born-Infeld gravity with a Cosmological constant
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Geometry of black hole thermodynamics
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Thermodynamic Curvature of the BTZ Black Hole
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• P-V Criticality in Quasitopological Gravity
• New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry
• Critical phenomena in Born-Infeld AdS black holes
• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• Thermodynamics of horizons: de Sitter black holes and reentrant phase transitions
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Reentrant phase transitions and van der Waals behaviour for hairy black holes
• Ruppeiner Geometry of RN Black Holes: Flat or Curved?
• Aspects of Born-Infeld Theory and String/M-Theory
• Thermodynamic curvature and black holes
• Thermodynamical Metrics and Black Hole Phase Transitions
• Thermodynamic Geometry and Phase Transitions in Kerr-Newman-AdS Black Holes
• Correspondence of phase transition points and singularities of thermodynamic geometry of black holes
• Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes
• Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole
• Microstructure and continuous phase transition of RN-AdS black hole
• Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry
• On thermal molecular potential among micromolecules in charged AdS black holes
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Reentrant phase transition of Born-Infeld-AdS black holes
• Ruppeiner Geometry of Anyon Gas
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Critical behaviors and phase transitions of black holes in higher order gravities and extended phase spaces
• A unified phase transition picture of the charged topological black hole in Horava-Lifshitz gravity
• Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• More Insight into Microscopic Properties of RN-AdS Black Hole Surrounded by Quintessence via an Alternative Extended Phase Space
• Extrinsic and intrinsic curvatures in thermodynamic geometry
• Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity
• Critical phenomena and chemical potential of charged AdS black hole
• Geometrothermodynamics as a singular conformal thermodynamic geometry
• Microstructure of charged AdS black hole via $P-V$ criticality
• Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics
• Repulsive Interactions in the Microstructure of Regular Hayward Black Hole in Anti-de Sitter Spacetime
• Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes
• The intrinsic curvature of thermodynamic potentials for black holes with critical points
• Microscopic explanation for black hole phase transitions via Ruppeiner geometry: two competing factors-the temperature and repulsive interaction among BH molecules
• Fine micro-thermal structures for Reissner-Nordström black hole
• $Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity
• Thermodynamic Geometry of Black Holes in the Canonical Ensemble
• Critical Behaviour and Microscopic Structure of Charged AdS Black Hole with a Global Monopole in Extended and Alternate Phase Spaces

Cited by in corpus (17)

• Black Hole Chemistry: the first 15 years
• Novel relations in massive gravity at Hawking-Page transition
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• Thermodynamic geometry and phase transition of spinning AdS black holes
• Testing the microstructure of $d$-dimensional charged Gauss-Bonnet anti-de Sitter black holes
• Microstructure of Charged AdS Black Hole with Minimal Length Effects
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Ruppeiner geometry, P-V criticality and interacting microstructures of black holes in dRGT massive gravity
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime
• Thermodynamic and observational implications of black holes in toroidal geometry
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Bardeen-Kiselev black hole with cosmological constant