Thermodynamics of -Dimensional Charged AdS (Anti-de Sitter) Black Holes: Hamiltonian Approach and Clapeyron Equation
arXiv:1905.08648 · doi:10.1142/S0217732319501700
Abstract
The study of thermodynamics in the view of the Hamiltonian approach is a newest tool to analyze the thermodynamic properties of the black holes. In this letter, we investigate the thermodynamics of -dimensional () asymptotically AntideSitter black holes. A thermodynamic representation based on symplectic geometry is introduced in this letter. We extend the thermodynamics of dimensional charged AntideSitter black holes in the views of a Hamiltonian approach. Firstly, we study the thermodynamics in reduced phase space and correlate with the Schwarzschild solution. Then we enhance it in the extended phase space. In an extended phase space the thermodynamic equations of state are stated as constraints. We apply the canonical transformation to analyze the thermodynamics of said type of black holes. We plot - diagrams for different dimensions taking the temperatures and and analyze the natures of the graphs and the dependencies on . In theses diagrams, we point out the regions of coexistence. We also examine the phase transition by applying "Maxwell's equal area law" of the said black holes. Here we find the regions of coexistence of two phases which are also depicted graphically. Finally, we derive the "Clapeyron equation" and investigate the latent heat of isothermal phase transition.
arXiv comment16 pages, 9 figures
References in corpus (32)
- Gauge Theory Correlators from Non-Critical String Theory
- Microscopic Origin of the Bekenstein-Hawking Entropy
- 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
- D--branes and Spinning Black Holes
- Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
- Exact Description of Black Holes on Branes
- Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
- Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
- Hamiltonian thermodynamics of the Reissner-Nordström-anti-de Sitter black hole
- Thermodynamics of Black Holes in Two (and Higher) Dimensions
- A unified picture of phase transition: from liquid-vapour systems to AdS black holes
- Hawking radiation from AdS black holes
- Spherically symmetric brane spacetime with bulk gravity
- Black-hole quasinormal modes and scalar glueballs in a finite-temperature AdS/QCD model
- A Hamilton-Jacobi Formalism for Thermodynamics
- Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
- Gravitational Tension and Thermodynamics of Planar AdS Spacetimes
- Gravitational Collapse in Generalized Vaidya Space-Time for Lovelock Gravity Theory
- Thermodynamic Variables of First-Order Entropy Corrected Lovelock-AdS Black Holes : P-V Criticality Analysis
- A Hamiltonian approach to Thermodynamics
- Thermodynamics of rotating thin shells in the BTZ spacetime
- The geometry of the higher dimensional black hole thermodynamics in Einstein-Gauss-Bonnet theory
- Gravitational Collapse In Husain Space-time For Brans-Dicke Gravity Theory with Power-law Potential
- Black Hole Thermodynamics in Horava Lifshitz Gravity and the Related Geometry
- Thermodynamic Studies of Different Black Holes with Modifications of Entropy
- Presence of Dark Energy and Dark Matter : Does Cosmic Acceleration signifies a Weak Gravitational collapse?
- Thermodynamic and classical instability of AdS black holes in fourth-order gravity
- Nature of singularity formed by the gravitational collapse in Husain space-time with electromagnetic field and scalar field
- Black holes in the Einstein -Gauss-Bonnet theory and the geometry of their thermodynamics-II
- A Study of Phase Transition in Black Hole Thermodynamics