Demystifying the fractional order phase transitions in AdS black holes

TL;DR

This paper investigates the fractional order phase transitions in AdS black holes, revealing that the 4/3 order transition is specific to spherical symmetry and not a universal feature across different geometries.

Contribution

The study demonstrates that fractional order phase transitions depend on the black hole's geometric symmetry, challenging the notion of their universality.

Findings

FPT at 4/3 order occurs only in spherically symmetric black holes

Fractional order of phase transition varies with geometric symmetry

The 4/3 order is not a universal characteristic of AdS black holes

Abstract

In this work, we performed a detailed study of the fractional order phase transition (FPT) for several AdS black hole prototypes [1]. Our objective is to see whether the FPT 4/3 order at critical points reported in [2] is universal. Our analysis shows two remarkable features: Firstly, the FPT is located at 4/3 order only when the black hole possesses a spherical symmetry. Secondly, this fractional order is not universal and can be altered by the geometric symmetry.