Plasma-Plasma Third Order Phase Transition from type IIB Supergravity

TL;DR

This paper demonstrates a third-order phase transition in a charged black hole in AdS space, corresponding to a new type of strongly coupled Quark-Gluon Plasma with distinct thermodynamic properties.

Contribution

It identifies a novel third-order phase transition to a hairy black hole in type IIB supergravity, revealing a new strongly coupled Quark-Gluon Plasma phase.

Findings

Transition occurs at 5=244 T

Hairy black hole has less entropy than the original phase

Transition line is at 5=244 T in the 5-4 phase diagram

Abstract

We show that the planar, charged black hole in AdS, dual to the strongly coupled Quark-Gluon Plasma thermal state of large $N$, $SU(N)$, $\mathcal{N}=4$ super Yang-Mills at finite chemical potential undergoes a third-order phase transition in the grand canonical ensemble to a hairy black hole of type IIB supergravity. The hairy phase is another strongly coupled fluid with a conformal equation of state and can be interpreted as another kind of Quark-Gluon plasma. This new Quark-Gluon plasma has less entropy and, therefore, seems to characterize some form of smooth hadronization. The locus of the transition in terms of the "Baryon" chemical potential, $\mu$, and the temperature, $T$, is $\mu=2\pi T$.