Fingerprinting the fractional order phase transitions in AdS black holes

TL;DR

This paper investigates fractional order phase transitions in various AdS black holes, revealing that the fractional order varies with black hole type and symmetry, with a notable 4/3 order in several cases.

Contribution

The study extends previous work by analyzing fractional phase transitions across multiple AdS black hole prototypes, showing non-universality of fractional order.

Findings

4/3 order FPT in several black hole systems

Fractional order depends on geometric symmetry

Kerr black holes exhibit 1/3 order FPT

Abstract

In this paper, we have extended and deepened the study on fractional order phase transition (FPT) of a charged AdS black hole performed in [1]. We have carried out a detailed analysis of FPT for several AdS black hole prototypes: black hole surrounded by quintessence background, 5D Gauss-Bonnet, D dimensional RN-AdS BH, and lastly Kerr black holes. We have shown that the 4/3 order FPT at critical points obtained in [1] still holds for the first three black holes systems, while for Kerr black holes, the fractional order is rather 1/3. These results suggest two remarkable features: Firstly 4/3 order phase transition can be assumed for asymptotically AdS black holes spherical solutions, secondly the fractional order is not universal and can be affected by the geometric symmetry.