Reentrant Phase Transitions in Rotating AdS Black Holes

TL;DR

This paper investigates the thermodynamics of higher-dimensional rotating AdS black holes, revealing a novel reentrant phase transition phenomenon where temperature variations cause multiple black hole phase changes, akin to multicomponent liquids.

Contribution

It uncovers the existence of reentrant phase transitions in higher-dimensional rotating AdS black holes, extending understanding of black hole thermodynamics in extended phase space.

Findings

Reentrant phase transitions occur for all dimensions greater than five.

Temperature variations induce two phase transitions between large and small black holes.

The behavior resembles phase transitions in multicomponent liquids.

Abstract

We study the thermodynamics of higher-dimensional singly spinning asymptotically AdS black holes in the canonical (fixed J) ensemble of extended phase space, where the cosmological constant is treated as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. Along with the usual small/large black hole phase transition, we find a new phenomenon of reentrant phase transitions for all d>5 dimensions, in which a monotonic variation of the temperature yields two phase transitions from large to small and back to large black holes. This situation is similar to that seen in multicomponent liquids.