Kerr-AdS analogue of triple point and solid/liquid/gas phase transition (1308.2672v2)

Abstract: 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 asolid/liquid' phase transition. Furthermore, for 0.00905<q\<0.0985 the system displays the presence of a large/intermediate/small black hole phase transition with one tricritical and two critical 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.