Phase transition and heat engine efficiency of phantom AdS black holes

Abstract

Phase transition and heat engine efficiency of phantom AdS black holes are investigated with peculiar properties found. In the non-extended phase space, we probe the possibility of $T-S$ criticality in both the canonical ensemble and grand-canonical ensemble. It is shown that no $T-S$ criticality exists for the phantom AdS black hole in the canonical ensemble, which is different from the RN-AdS black hole. Contrary to the canonical ensemble, no critical point can be found for neither phantom AdS black holes nor RN-AdS black hole in the grand-canonical ensemble. Moreover, we study the specific heat at constant electric potential. When the electric potential satisfies $A_0>1$, only phantom AdS black holes undergo phase transition in the grand-canonical ensemble. In the extended phase space, we show that there is no $P-V$ criticality for phantom AdS black holes, contrary to the case of the RN-AdS black hole. Furthermore, we define a new kind of heat engine via phantom AdS black holes. Comparing to RN-AdS black holes, phantom AdS black holes have a lower heat engine efficiency. However, the ratio $\eta /{\eta }_C$ of phantom AdS black hole is higher, thus increasing the possibility of approaching the Carnot limit. This observation is obviously of interest. The interesting results obtained in this paper may be attributed to the existence of phantom field whose energy density is negative.

arXiv comment9pages,4figures. Comments welcome

References in corpus (38)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Holographic Heat Engines
• Geometrothermodynamics
• Compressibility of rotating black holes
• Holographic entanglement entropy and the extended phase structure of STU black holes
• Black holes in massive gravity as heat engines
• Holographic heat engines: general considerations and rotating black holes
• Thermodynamical Metrics and Black Hole Phase Transitions
• Born-Infeld AdS Black Holes as Heat Engines
• Gauss-Bonnet Black Holes and Holographic Heat Engines Beyond Large N
• An Exact Efficiency Formula for Holographic Heat Engines
• Effects of dark energy on the efficiency of charged AdS black holes as heat engine
• Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
• Thermodynamics of phantom Reissner-Nordstrom-AdS black hole
• Heat Engines for Dilatonic Born-Infeld Black Holes
• Black hole thermodynamics and heat engines in conformal gravity
• Accelerating AdS black holes as the holographic heat engines in a benchmarking scheme
• Heat engine in the three-dimensional spacetime
• Dark energy and dark matter from cosmological observations
• An Exact Model of the Power/Efficiency Trade-Off While Approaching the Carnot Limit
• Benchmarking Black Hole Heat Engines, II
• Taub-Bolt Heat Engines
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• Geometrothermodynamics of phantom AdS black holes
• Holographic Heat engine within the framework of massive gravity
• Holographic heat engine with momentum relaxation
• Phantom black holes and critical phenomena
• The Thermodynamic Efficiency in Static and Dynamic Black Holes
• The phase transition and holographic in modified Horava -Lifshitz black hole

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• Effects of the external string cloud on the Van der Waals like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity
• The extended phase space thermodynamics of Planck-scale-corrected Reissner-Nordström-anti-de Sitter black hole
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
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