P-V Criticality in Quasitopological Gravity

TL;DR

This paper explores the thermodynamic phase transitions of AdS quasitopological black holes, revealing complex behaviors such as reentrant phase transitions and critical points, influenced by the coupling parameter in extended phase space.

Contribution

It provides the first analysis of reentrant phase transitions and thermodynamic singularities in five-dimensional quasitopological black holes with negative coupling.

Findings

Multiple reentrant phase transitions observed.

Presence of isolated critical points.

Thermodynamic singularities identified in negative coupling cases.

Abstract

We investigate the thermodynamic behaviour of AdS quasitopological black hole solutions in the context of extended thermodynamic phase space, in which the cosmological constant induces a pressure with a conjugate volume. We find that the third order exact quasitopological solution exhibits features consistent with the third order Lovelock solutions for positive quasitopological coupling, including multiple reentrant phase transitions and isolated critical points. For negative coupling we find the first instances of both reentrant phase transitions and thermodynamic singularities in five dimensions, along with other modified thermodynamic behaviour compared to Einstein-AdS-Gauss Bonnet gravity.