Tricritical point and solid/liquid/gas phase transition of higher dimensional AdS black hole in massive gravity

TL;DR

This paper investigates the phase transitions of higher-dimensional AdS black holes in massive gravity, revealing tricritical points and complex phase behaviors influenced by interaction potential terms.

Contribution

It introduces the analysis of tricritical points and solid/liquid/gas phase transitions in higher-dimensional AdS black holes within massive gravity, considering fifth order interaction terms.

Findings

Discovery of tricritical points in black hole phase diagrams

Identification of solid/liquid/gas phase transitions

Dependence of critical phenomena on interaction potential terms

Abstract

By considering the fifth order term of the interaction potential in massive gravity theory, we study the $P-V$ critical behaviors of AdS black hole in $d \geq 7$ dimensional space-time, and find the tricritical point and the solid/liquid/gas phase transition in addition to the Van der Waals-like phase and the reentrant phase transition of the system. The critical phenomena of black holes depend crucially on the number $n$ of interaction potential terms.