P − V criticality of charged AdS black holes

By D. Kubizňák, Robert B. Mann. 2012

1,255 citations recorded by the source corpus.

A bstractTreating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We complete the analogy of this system with the liquid-gas system and study its critical point, which occurs at the point of divergence of specific heat at constant pressure. We calculate the critical exponents and show that they coincide with those of the Van der Waals system.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2dde59f662270cab5a5fa6d578795e094aabd441

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Citations in the corpus

On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes (2013, methodology): “Cω3 +O(tω2,ω4), (3.20) where C = 1 q˜3 1 ρc − f (3)(1) 6 .Diﬀerentiating the series for a ﬁxed t < 0 we get dP = −Pc t ˜qρ c +3Cω2 dω. (3.21) Employing Maxwell’s equal area law, see, e.g., [35, 36, 38], while denoting ωg and ωl the ‘volume’ of small and large black holes, we get the following”
Holographic entanglement entropy and the extended phase structure of STU black holes (2015, background): “7 In addition, several other critical exponents for AdS-RN as well as for most AdS black holes also agree with expectations from mean-field theory [11].”
Black Hole Chemistry (2014, background): “The first indicator was the realization that char ged black holes behave as Van der Waals fluids [9, 10].”
Topology of black hole thermodynamics (2021, methodology): “The charged AdS black hole is the first black hole system admitting the small-large black hole phase transition [8, 10] and a critical point is present in the phase diagram of such system.”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, methodology): “[2], the authors calculated it for the four-dimensional charged AdS black hole, and found a charge independent value ρ = 3/8, which indicates a universal property of the black hole system.”
Black hole chemistry: thermodynamics with Lambda (2016, background): “ents characterize the behavior of various physical quantities in the vicinity of a critical point. Specically, denoting by t= T=T c 1, the critical exponents for the black hole are dened as follows [73]: Exponent governs the behaviour of the specic heat at constant volume, C V = T @S @T V /jtj : (4.”
Reentrant phase transitions in rotating anti–de Sitter black holes (2013, methodology): “Intensive and extensive quantities are now properly identified [9] and the SBH/LBH transition can be understood as a liquid/gas phase transition by employing Maxwell’s equal area law to the P − V diagram.”
Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes (2014, background): “logical constant and volume as thermodynamic variables, it was interestingly observed that the small-large black hole system admits a more direct and precise coincidence with the Van der Waals system [24]. More discussions on comparing phase transitions in AdS black holes with the Van der Waals anal”
Effects of dark energy on P–V criticality of charged AdS black holes (2014, methodology): “an be analytically solved and the corresponding critical quantities can be derived as vc = 2 √ 6Q, Tc = √ 6 18πQ − a 2π , Pc = 1 96πQ2 . (23) Comparing Eq. (23) with the results of RN-AdS black holes [8], it is quite interesting to note that the eﬀect of quintessence dark energy is reﬂected in the c”