Clapeyron equation and phase equilibrium properties in higher dimensional charged topological dilaton AdS black holes with a nonlinear source
arXiv:1609.08242 · doi:10.1140/epjc/s10052-017-4831-8
Abstract
Using Maxwell's equal area law, we discuss the phase transition of higher dimensional charged topological dilaton AdS black holes with a nonlinear source. The coexisting region of the two phases is found and we depict the coexistence region in diagrams. The two-phase equilibrium curves in diagrams are plotted, and we take the first order approximation of volume in the calculation. To better compare with a general thermodynamic system, the Clapeyron equation is derived for higher dimensional charged topological black hole with a nonlinear source. The latent heat of isothermal phase transition is investigated. We also study the effect of the parameters of the black hole on the region of two-phases coexistence. The results show that the black hole may go through a small-large phase transition similar to those of usual non-gravity thermodynamic systems.
arXiv comment21 pages,25 figures. published version in EPJC. arXiv admin note: substantial text overlap with arXiv:1411.7202; text overlap with arXiv:1506.01786, arXiv:hep-th/0605042 by other authors
References in corpus (43)
- Microscopic Origin of the Bekenstein-Hawking Entropy
- Black Holes at the LHC
- D--branes and Spinning Black Holes
- Reentrant Phase Transitions in Rotating AdS Black Holes
- Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
- Exact Description of Black Holes on Branes
- Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
- Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
- Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
- Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
- Entropy of three-dimensional asymptotically flat cosmological solutions
- Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
- Thermodynamic Geometry and Critical Behavior of Black Holes
- On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
- Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
- Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
- P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld 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
- Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
- Critical phenomena of static charged AdS black holes in conformal gravity
- Charged Dilatonic Black Holes in Gravity's Rainbow
- Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
- Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
- A unified picture of phase transition: from liquid-vapour systems to AdS black holes
- Thermodynamics of charged topological dilaton black holes
- Thermodynamical interpretation of the geometrical variables associated with null surfaces
- Dilaton black holes coupled to nonlinear electrodynamic field
- Critical behavior of charged black holes in Gauss-Bonnet gravity`s rainbow
- Correspondence of phase transition points and singularities of thermodynamic geometry of black holes
- Spherically symmetric brane spacetime with bulk gravity
- Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
- Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
- Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes
- Lanczos-Lovelock gravity from a thermodynamic perspective
- Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics
- Thermodynamics of toroidal black holes
- Existence condition and phase transition of Reissner-Nordström-de Sitter black hole
- Phase transition and critical phenomena of black holes: A general approach
- Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion
- Thermodynamics and Thermodynamic geometry of Park black hole
- Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
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- Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
- Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
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- Phase transition of non-linear charged Anti-de Sitter black holes