Holographic Joule-Thomson Expansion in Lower Dimensions

Abstract

The thermodynamical process of Joule-Thomson expansion is extended to the lower-dimensional spacetimes by considering rotating, charged and charged rotating BTZ black hole metrics. The Joule-Thomson coefficients, the inversion curves and the isenthalps are found for all three cases. From the behavior of inversion curves in the $T-P$ plane, it is observed that there exists only minimum inversion temperatures for BTZ black holes. The relevant calculations for rotating BTZ black holes are almost straightforward, while it is more challenging to address when a charge parameter is added. In the case of charged BTZ metrics, the black hole system can be considered in two possible thermodynamical schemes and it is explicitly proved that the Joule-Thomson expansion is present in a specific scheme (referred to as scheme II) in which thermodynamic instabilities do not arise. The existence of Joule-Thomson expansion in all three BTZ cases strongly indicates that these lower-dimensional black hole spacetimes can be considered as interacting statistical systems like their higher-dimensional cousins.

arXiv comment17 pages, 11 figures, published version

References in corpus (45)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• 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
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• The cosmological constant and the black hole equation of state
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Holographic Heat Engines
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Joule-Thomson Expansion of Charged AdS Black Holes
• Joule-Thomson Expansion of Kerr-AdS Black Holes
• On the Thermodynamic Geometry of BTZ Black Holes
• Thermodynamics of Born-Infeld-anti-de Sitter black holes in the grand canonical ensemble
• Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space
• Lower-Dimensional Black Hole Chemistry
• Joule-Thomson expansion of $d$-dimensional charged AdS black holes
• Quintessence Reissner Nordström Anti de Sitter Black Holes and Joule Thomson effect
• Holographic heat engines: general considerations and rotating black holes
• Born-Infeld AdS Black Holes as Heat Engines
• Novel nonlinear electrodynamics black hole and related phenomena in the extended thermodynamics
• Joule-Thomson expansion in AdS black holes with momentum relaxation
• Geometric description of BTZ black holes thermodynamics
• Joule-Thomson Expansion of RN-AdS Black Holes in $f(R)$ gravity
• Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
• Joule-Thomson expansion of charged AdS black holes in Rainbow gravity
• Joule-Thomson expansion in AdS black hole with a global monopole
• Joule-Thomson expansion for the regular(Bardeen)-AdS black hole
• Joule-Thomson expansion of the Bardeen-AdS black holes
• Microscopic entropy of the charged BTZ black hole
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• On the throttling process of the Kerr-Newman-anti-de Sitter black holes in the extended phase space
• Instability of Super-Entropic Black Holes in Extended Thermodynamics
• Joule-Thomson expansion of Lower-dimensional black hole
• Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes
• Holographic Heat engine within the framework of massive gravity
• Hairy Black Hole Chemistry
• Thermodynamics of FRW Universe: Heat Engine
• Are Superentropic black holes superentropic?
• Non-linear black holes in 2+1 dimensions as heat engines
• Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory

Cited by in corpus (4)

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• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity
• Absence of isolated critical points with nonstandard critical exponents in the four-dimensional regularization of Lovelock gravity
• Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions