Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space

Mo, Jie-Xiong; Li, Gu-Qiang

doi:10.1103/physrevd.92.024055

Cited by 29 publications

(29 citation statements)

References 39 publications

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“…20 For various black holes the approximate coexistence line has been constructed numerically [146][147][148][149]. For the particular case of the 4d charged-AdS black hole that we are considering an analytic formula exists [150]. As we cross the coexistence line, for a given Q and 3/[8πl 2 ] = P ∈ (0, P c ), the size of the black hole 'jumps' from a small radius, r s , to 17 The fact that this ratio has no dependence on black hole charge Q is unsurprising by dimensional arguments.…”

Section: Charged Ads Black Holes and Van Der Waals Fluidsmentioning

confidence: 99%

Black hole chemistry: thermodynamics with Lambda

Kubizňák

Mann

Teo

2017

Class. Quantum Grav.

717

657

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We review recent developments on the thermodynamics of black holes in extended phase space, where the cosmological constant is interpreted as thermodynamic pressure and treated as a thermodynamic variable in its own right. In this approach, the mass of the black hole is no longer regarded as internal energy, rather it is identified with the chemical enthalpy. This leads to an extended dictionary for black hole thermodynamic quantities, in particular a notion of thermodynamic volume emerges for a given black hole spacetime. This volume is conjectured to satisfy the reverse isoperimetric inequalityan inequality imposing a bound on the amount of entropy black hole can carry for a fixed thermodynamic volume. New thermodynamic phase transitions naturally emerge from these identifications. Namely, we show that black holes can be understood from the viewpoint of chemistry, in terms of concepts such as Van der Waals fluids, reentrant phase transitions, and triple points. We also review the recent attempts at extending the AdS/CFT dictionary in this setting, discuss the connections with horizon thermodynamics, applications to Lifshitz spacetimes, and outline possible future directions in this field.

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Section: Charged Ads Black Holes and Van Der Waals Fluidsmentioning

confidence: 99%

Black hole chemistry: thermodynamics with Lambda

Kubizňák

Mann

Teo

2017

Class. Quantum Grav.

717

657

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“…We note that the Areas (I) and (II) as defined above approaching zero at the same rate is equivalent to the larger areas Area(A) = T * (M 3 − M 1 ) and Area(B) = M 3 M 1 T dM approaching zero at the same rate and so it suffices to look at the near-critical expansions of areas A and B. S 1 and S 3 are known [4,30]:…”

Section: The "Approximate" Equal Area Law Near Criticalitymentioning

confidence: 99%

Breakdown of the equal area law for holographic entanglement entropy

McCarthy

Kubizňák

Mann

2017

J. High Energ. Phys.

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We investigate a holographic version of Maxwell's equal area law analogous to that for the phase transition in the black hole temperature/black hole entropy plane of a charged AdS black hole. We consider proposed area laws for both the black hole temperature/holographic entanglement entropy plane and the black hole temperature/2-point correlation function plane. Despite recent claims to the contrary, we demonstrate numerically that neither proposal is valid. We argue that there is no physical reason to expect such a construction in these planes.

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“…further study them. As we know, the coexistence curve of the five-dimensional neutral Gauss-Bonnet (GB) AdS has an analytical form [34]. This gives us a good chance to exactly investigate it.…”

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confidence: 99%

Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

Wei

Liu

2020

Physics Letters B

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In this paper, we analytically study the phase structure and construct the Ruppeiner geometry in the extended phase space for the five-dimensional neutral Gauss-Bonnet AdS black hole. Through calculating the scalar curvature of the Ruppeiner geometry and combining the phase transition, we show that the attractive interaction is dominant in the microstructure of the black hole system.More significantly, there is an intriguing property that the normalized scalar curvature has the same expression for the saturated small and large black hole curves. This implies that although the microstructure is different before and after the small-large black hole phase transition, the interaction between the microscopic constituents keeps unchanged. These results are quite valuable on further understanding the microstructure of the AdS black hole in modified gravity.

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Coexistence curves and molecule number densities of AdS black holes in the reduced parameter space

Cited by 29 publications

References 39 publications

Black hole chemistry: thermodynamics with Lambda

Black hole chemistry: thermodynamics with Lambda

Breakdown of the equal area law for holographic entanglement entropy

Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

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