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Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
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DOI：10.1088/0264-9381/31/4/042001.png)
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Abstract
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We study the thermodynamic behavior of multi-spinning d = 6 Kerr-anti de Sitter black holes in the canonical ensemble of fixed angular momenta J(1) and J(2). We find, dependent on the ratio q = J(2)/J(1), 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 is an element of (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.
Keywords:
black hole thermodynamics
phase transitions
triple point
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