AUTHOR=Chabab Mohamed , Iraoui Samir 

TITLE=Fingerprinting the Fractional Order Phase Transitions in AdS Black Holes

JOURNAL=Frontiers in Physics

VOLUME=Volume 8 - 2020

YEAR=2021

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.620430

DOI=10.3389/fphy.2020.620430

ISSN=2296-424X

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 \cite{Ma:2019hvr}. 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 \cite{Ma:2019hvr} 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.