Thermodynamics, Phase Transition and Joule Thomson Expansion of 4-D Gauss-Bonnet AdS Black Hole

Abstract

We explore the thermodynamic and phase transition properties of asymptotically AdS black holes within Einstein-Gauss-Bonnet gravity, focusing on Joule Thomson expansion. Thermodynamics is studied in the extended phase space, where the cosmological constant serves as thermodynamic pressure. We observe that the black hole undergoes a phase transition similar to that of a van der Waals system. We analyze charged and neutral cases separately to distinguish the effect of charge and Gauss Bonnet parameter on critical behavior and examine the phase structure. We find that the Gauss-Bonnet coupling parameter behaves similarly to black hole charge or spin, guiding the phase structure. To understand the underlying phase structure determined by the Gauss-Bonnet coefficient $\alpha$, we introduce a new order parameter. We discover that the change in the conjugate variable to the Gauss-Bonnet parameter acts as an order parameter, demonstrating a critical exponent of $1/2$ in the vicinity of the critical point. Since the phase structure is analogous to that of a van der Waals fluid, we investigate the Joule-Thomson expansion of the black hole. We analytically study the Joule-Thomson expansion, focusing on three key characteristics: the Joule-Thomson coefficient, inversion curves, and isenthalpic curves. We obtain isenthalpic curves in the $T-P$ plane and illustrate the cooling-heating regions.

arXiv comment23 pages, 6 figures

References in corpus (51)

• Gauge Theory Correlators from Non-Critical String Theory
• 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
• Holography, Thermodynamics and Fluctuations of Charged 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
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Reentrant Phase Transitions in Rotating AdS Black Holes
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Charged Black Holes in AdS Spaces in $4D$ Einstein Gauss-Bonnet Gravity
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• The innermost stable circular orbit and shadow in the novel $4D$ Einstein-Gauss-Bonnet gravity
• Is there a novel Einstein-Gauss-Bonnet theory in four dimensions?
• Joule-Thomson Expansion of Charged AdS Black Holes
• Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Stability of Black Holes and Black Branes
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• A consistent theory of $D\to 4$ Einstein-Gauss-Bonnet gravity
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Joule-Thomson Expansion of Kerr-AdS Black Holes
• Isolated critical point from Lovelock gravity
• The $D\to 2$ Limit of General Relativity
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• Black holes in the four-dimensional Einstein-Lovelock gravity
• Comment on "Einstein-Gauss-Bonnet Gravity in 4-Dimensional Space-Time''
• Quasinormal modes and a new instability of Einstein-Gauss-Bonnet black holes in the de Sitter world
• A note on the total action of $4D$ Gauss-Bonnet theory
• Amplitudes and 4D Gauss-Bonnet Theory
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities
• Thermodynamics of Conformal Anomaly Corrected Black Holes in AdS Space
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
• Gravity with a generalized conformal scalar field: Theory and solutions
• Microstructure and continuous phase transition of RN-AdS black hole
• Regularized Lovelock gravity
• Dimensionally Dependent Tensor Identities by Double Antisymmetrisation
• Joule-Thomson expansion in AdS black hole with a global monopole
• Multi-critical Points in Black Hole Phase Transitions
• Vortex/anti-vortex pair creation in black hole thermodynamics
• Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space
• Canonical variational completion and 4D Gauss-Bonnet gravity
• On the "Einstein-Gauss-Bonnet Gravity in Four Dimension"
• Microstructure and continuous phase transition of a regular Hayward black hole in anti-de Sitter spacetime
• No logarithmic corrections to entropy in shift-symmetric Gauss-Bonnet gravity

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• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes
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• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity