Reentrant phase transitions in rotating anti–de Sitter black holes

By N. Altamirano, D. Kubizňák, Robert B. Mann. 2013

363 citations recorded by the source corpus.

Introduction. In view of the AdS/CFT correspondence, phase transitions in asymptotically AdS black holes allow for a dual interpretation in the thermal conformal field theory (CFT) living on the AdS boundary—the principal example being the well known radiation/Schwarzschild-AdS black hole Hawking–Page transition [1] which can be interpreted as a confinement/deconfinement phase transition in the dual quark gluon plasma [2]. Charged [3–6] and rotating [7, 8] asymptotically AdS back holes possess an interesting feature—they allow for a first order small-blackhole/large-black-holephase (SBH/LBH) transition which is in many ways reminiscent of the liquid/gas transition of the Van der Waals fluid. This superficial analogy was recently found more intriguing [9] by considering a thermodynamic analysis in an extended phase space where the cosmological constant is identified with thermodynamic pressure and its variations are included in the first law of black hole thermodynamics. This notion emerges from geometric derivations of the Smarr formula [10] that i) imply the mass of an AdS black hole should be interpreted as the enthalpy of the spacetime and ii) allow for a computation of the conjugate thermodynamic volume. 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. Coexistence lines and critical exponents are then seen to match those of a Van der Waals fluid. In this paper we report the finding of an interesting phenomena, observed previously in multicomponent fluids, e.g., [11], of black hole reentrant phase transitions (RPTs). A system undergoes an RPT if a monotonic variation of any thermodynamic quantity results in two (or more) phase transitions such that the final state is macroscopically similar to the initial state. We find for a certain range of pressures (and a given angular momentum) that a monotonic lowering of the temperature yields a large-small-large black hole transition, where we refer to the latter ‘large’ state as an intermediate black hole (IBH). This situation is accompanied by a discontinuity in the global minimum of the Gibbs free energy, referred to as a zeroth-order phase transition, a phenomenon seen in superfluidity and superconductivity [12], and recently for Born–Infeld black holes [13]. We find the RPT to be generic for all rotating AdS black holes in d � 6 dimen

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

View Paper: https://www.semanticscholar.org/paper/008b6e855ebcb9b1fbed7addf763fa4b7dc2fbad

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Citations in the corpus

Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “Recently it has been shown [25] that in all dimensions d ≥ 6 singly spinning Kerr-AdS black holes demonstrate the peculiar behavior of large/small/large black hole transitions reminiscent of reentrant phase transitions (RPT) observed for multicomponent fluid systems, gels, ferroelectrics, liquid cry”
Black hole chemistry: thermodynamics with Lambda (2016, background): “The first example of a reentrant phase transition for black holes was discovered in [141] in the context of four-dimensional black holes in Born–Infeld theory21 and later in the simpler setting of vacuum black holes in higher dimensions [169], further studied in [27, 147, 170].”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “Consequently, for α < α2 and a certain range of pressures, we observe a reentrant phase transition, similar to the one observed in [20].”