Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
arXiv:2404.02526 · doi:10.1016/j.jheap.2024.11.013
Abstract
In this work, we propose a common vector field to study the thermodynamic topology of the Davies type and Hawking-Page phase transitions. Existing literature has shown that studying these two types of phase transitions typically requires defining two separate vector fields . In our approach, we adopt Duan's -mapping topological current theory to define a novel vector field, denoted as , whose critical points exactly correspond to the Davies point and the Hawking-Page phase transition point. More importantly, we can differentiate between these two points by their topological charge. While, the topological charge for the critical point corresponding to the Davies-type phase transition is found to be , the same for the Hawking-Page phase transition point, it is . Although our analysis is applicable to all black hole systems where both types of phase transitions are found, we illustrate it using three simple systems as examples: the Schwarzschild AdS black hole, the Reissner-Nordström AdS black hole in the grand canonical ensemble, and finally the Kerr AdS black holes in the grand canonical ensemble. It is wellknown that these black holes exhibit both Davies and Hawking-Page phase transitions. With our proposed vector , the critical points obtained for these three systems exactly match the Davies-type and Hawking-Page phase transition points, and the associated topological charges are found to be for the Davies point and for the Hawking-Page phase transition point.
arXiv comment13 pages, 18 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
- The Thermodynamics of Black Holes
- 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
- 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
- Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
- Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
- Black Hole Solutions as Topological Thermodynamic Defects
- Compressibility of rotating black holes
- Superfluid Black Holes
- Black Hole Thermodynamics
- Topology of black hole thermodynamics
- Thermodynamic Curvature of the BTZ Black Hole
- Reentrant phase transitions of higher-dimensional AdS black holes in dRGT massive gravity
- Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
- Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
- P-V Criticality in Quasitopological Gravity
- Holographic Thermodynamics Requires a Chemical Potential for Color
- Topological classes of thermodynamics of rotating AdS black holes
- Isolated critical point from Lovelock gravity
- Topological classes of rotating black holes
- Reentrant phase transitions and van der Waals behaviour for hairy black holes
- Topology of critical points and Hawking-Page transition
- Where is the PdV term in the first law of black hole thermodynamics?
- Revisiting thermodynamic topologies of black holes
- Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
- Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
- Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles
- Bardeen Black Hole Thermodynamics from Topological Perspective
- Topological interpretation for phase transitions of black holes
- Restricted phase space thermodynamics for AdS black holes via holography
- Topological classification and black hole thermodynamics
- Geometric description of BTZ black holes thermodynamics
- Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
- Thermodynamics of Kerr-AdS black holes in the restricted phase space
- Critical behavior in 2+1 dimensional black holes
- Van der Waals criticality in AdS black holes: a phenomenological study
- Topology of equatorial timelike circular orbits around stationary black holes
- Thermogeometric description of the van der Waals like phase transition in AdS black holes
- Bulk-boundary thermodynamic equivalence: a topology viewpoint
- Thermodynamic topology of black Holes in f(R) gravity
- Vortex/anti-vortex pair creation in black hole thermodynamics
- Thermogeometric phase transition in a unified framework
- WGC and WCCC of black holes with quintessence and cloud strings in RPS space
- Holographic thermodynamics of rotating black holes
- Geodesics in Information Geometry : Classical and Quantum Phase Transitions
- 4D-EGB Black Holes in RPS Thermodynamics
- Thermodynamic Topology of Horava Lifshitz Black Hole in Two Ensembles
- Static spheres around spherically symmetric black hole spacetime
- Thermodynamic Topological Classifications of Well-Known Black Holes
- A general framework to study the extremal phase transition of black holes
- Black hole thermodynamics is extensive with variable Newton constant
- Thermodynamic topology of 4D Euler-Heisenberg-AdS black hole in different ensembles
- Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics
- Thermodynamic topology of Kerr-Sen black holes via Rényi statistics
- Topology of the landscape and dominant kinetic path for the thermodynamic phase transition of the charged Gauss-Bonnet AdS black holes
- Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
- Thermogeometric study of van der Waals like phase transition in black holes: an alternative approach
- On Black Hole Entropy Corrections in the Grand Canonical Ensemble