On the Thermodynamics of a Gas of AdS Black Holes and the Quark-Hadron Phase Transition

Details On the Thermodynamics of a Gas of AdS Black Holes and the Quark-Hadron Phase Transition On the Thermodynamics of a Gas of AdS Black Holes and the Quark-Hadron Phase Transition

1999-02-25

arxiv.org/abs/hep-th/9902190v1

Phys.Lett.B454:193-202,1999

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, 3 figs encapsulated

Scientific paper

10.1016/S0370-2693(99)00373-1

We discuss the thermodynamics of a gas of black holes in five-dimensional anti-de-Sitter (AdS) space, showing that they are described by a van der Waals equation of state. Motivated by the Maldacena conjecture, we relate the energy density and pressure of this non-ideal AdS black-hole gas to those of four-dimensional gauge theory in the unconfined phase. We find that the energy density rises rapidly above the deconfinement transition temperature, whilst the pressure rises more slowly towards its asymptotic high-temperature value, in qualitative agreement with lattice simulations.

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