Kerr-AdS analogue of triple point and solid/liquid/gas phase transition

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

320 citations recorded by the source corpus.

We study the thermodynamic behavior of multi-spinning d = 6 Kerr-anti de Sitter black holes in the canonical ensemble of fixed angular momenta J1 and J2. We find, dependent on the ratio q = J2/J1, qualitatively different interesting phenomena known from the ‘every day thermodynamics’ of simple substances. For q = 0 the system exhibits recently observed reentrant large/small/large black hole phase transitions, but for 0 < q ≪ 1 we find an analogue of a ‘solid/liquid’ phase transition. Furthermore, for q ∈ (0.00905, 0.0985) the system displays the presence of a large/intermediate/small black hole phase transition with two critical and one triple (or tricritical) points. This behavior is reminiscent of the solid/liquid/gas phase transition except that the coexistence line of small and intermediate black holes does not continue for an arbitrary value of pressure (similar to the solid/liquid coexistence line) but rather terminates at one of the critical points. Finally, for q > 0.0985 we observe the ‘standard liquid/gas behavior’ of the Van der Waals fluid.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/20e1ee4278035263d64239524ed48245381eb7cd

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Citations in the corpus

Black Hole Chemistry (2014, background): “ant phase transition. Similar behaviour has been observed for Born–Infeld black holes [17]. The gravitational analogue of a triple point can also be observed once two rotation parameters are included [18]. Consider a d = 6 black hole with rotation parameters J1 and J2. We ﬁnd a variety of phenomena,”
Isolated critical point from Lovelock gravity (2014, background): “novel insights and new phenomena in black hole thermodynamics, including the realization that the phase-transition between large AdS black holes and radiation [1] can be understood as a ‘liquid/solid’ phase transition [6], the discovery that charged black holes behave as Van der Waals fluids [7–10],”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “Subsequently, other novel phenomena of phase transition and phase structure were observed [3–15], for a recent review, see Refs.”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, background): “These include the existence of reentrant phase transitions in rotating [20] and Born-Infeld [14] black holes and the existence of a tricritical point in rotating black holes analogous to the triple point in water [21].”
Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “[41] N.”
Black hole chemistry: thermodynamics with Lambda (2016, background): “One can also obtain a gravitational analogue of a solid/liquid/gas phase transition and that of a triple (tricritical) point [169].”