On the thermodynamics of a gas of AdS black holes and the quark-hadron phase transition

John Ellis, A. Ghosh, N.E. Mavromatos
1999 Physics Letters B  
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
more » ... e slowly towards its asymptotic high-temperature value, in qualitative agreement with lattice simulations.
doi:10.1016/s0370-2693(99)00373-1 fatcat:ss53bjwmwbeuhbie5jxg6mlkfe