Van Der Waals black holes in d dimensions

Delsate, Térence; Mann, Robert B.

doi:10.1007/jhep02(2015)070

Cited by 41 publications

(40 citation statements)

References 20 publications

(53 reference statements)

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“…As shown in Eqs. (15) and (19), it is obvious that the heat capacity is divergent in this case. Therefore, the corresponding phase transition is second order.…”

Section: Van Der Waals Behaviour Of Thermodynamics Entropymentioning

confidence: 94%

Holographic research on phase transitions for a five dimensional AdS black hole with conformally coupled scalar hair

Yang

2017

Physics Letters B

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In the framework of holography, we survey the phase structure for a higher dimensional hairy black hole including the effects of the scalar field hair. It is worth emphasizing that, not only black hole entropy, but also entanglement entropy and two point correlation function exhibit the Van der Waals-like phase transition in a fixed scalar charge ensemble. Furthermore, by making use of numerical computation, we show that the Maxwell's equal area law is valid for the first order phase transition. In addition, we also discuss how the hair parameter affects the black hole's phase transition.

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“…As shown in Eqs. (15) and (19), it is obvious that the heat capacity is divergent in this case. Therefore, the corresponding phase transition is second order.…”

Section: Van Der Waals Behaviour Of Thermodynamics Entropymentioning

confidence: 94%

Holographic research on phase transitions for a five dimensional AdS black hole with conformally coupled scalar hair

Yang

2017

Physics Letters B

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“…A similar situation occurs for black hole solutions in the presence of rotation, higher dimensions, or higher curvature corrections. Asymptotically AdS black holes whose thermodynamics match exactly that of the Van der Waals fluid were constructed in [162,163] in the context of Einstein gravity. Surprisingly, the solution is supported by 'exotic matter' that does not obey any of the energy conditions everywhere outside of the horizon.…”

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.

755

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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“…and for the 2+1 dimensional space-time, P = −Λ 8π [27]. Furthermore, using the Einstein field equation and the energy momentum tensor definition will yield the energy conditions as follows:…”

Section: Anyon Van Der Waals Black Holementioning

confidence: 99%