The Mixed Phase of Charged AdS Black holes

TL;DR

This paper investigates the coexistence and phase diagram of charged AdS black holes and radiation, revealing conditions for mixed phases and their dual gauge theory counterparts in quark-gluon plasma and hadron gas.

Contribution

It derives the coexistence conditions for charged AdS black holes and radiation, and maps the phase diagram for fixed potential and charge ensembles, connecting gravity and gauge theories.

Findings

Phase diagram of mixed black hole-radiation phase demonstrated.

Conditions for coexistence of charged black holes and radiation derived.

Dual gauge theory interpretation in QGP and hadron gas phases provided.

Abstract

We study the mixed phase of charged AdS black hole and radiation when the total energy is fixed below the threshold to produce a stable charged black hole branch. The coexistence conditions for the charged AdS black hole and radiation are derived for the generic case when radiation particles carry charge. The phase diagram of the mixed phase is demonstrated for both fixed potential and charge ensemble. In the dual gauge picture, they correspond to the mixed phase of quark-gluon plasma~(QGP) and hadron gas in the fixed chemical potential and density ensemble respectively. In the nuclei and heavy ion collisions at intermediate energies, the mixed phase of exotic QGP and hadron gas could be produced. The mixed phase will condensate and evaporate into the hadron gas as the fireball expands.