Reentrant phase transition of Born-Infeld-dilaton black holes

TL;DR

This paper investigates a unique reentrant phase transition in Born-Infeld-dilaton black holes, revealing complex phase behavior including zeroth and first order transitions influenced by the scalar field.

Contribution

It introduces the first detailed analysis of reentrant phase transitions in Born-Infeld-dilaton black holes within extended phase space.

Findings

Identification of zeroth order intermediate-small black hole phase transition.

Discovery of a modified zeroth order transition between small and large black holes.

Influence of the dilaton scalar field on phase transition behavior.

Abstract

We explore a novel reentrant phase transition of four-dimensional Born-Infeld-dilaton black hole in which the first order phase transition modify into a zeroth order phase transition below the critical point. Working in the extended phase space with regarding the cosmological constant as a pressure, we study the reentrant behavior of phase transition in the canonical ensemble. We show that these black holes enjoy a zeroth order intermediate-small black hole phase transition as well as a first order phase transition between small and large black holes for a narrow range of temperatures and pressures. We also find that the standard first order small-large black hole phase transition can modify into a zeroth order type. This zeroth order phase transition stands between the critical point and the first order phase transition region. We discuss the significant effect of the scalar field (dilaton) on the mentioned interesting treatment.