AUTHOR=Chabab Mohamed , Iraoui Samir 

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

JOURNAL=Frontiers in Physics

VOLUME=8

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=<p>In this paper, we have extended and deepened the study on fractional order phase transition (FPT) of a charged AdS black hole. We have carried out a detailed analysis of FPT for several AdS black hole prototypes: black hole surrounded by quintessence background, 5D Gauss-Bonnet, <italic>D</italic> dimensional RN-AdS BH, and lastly Kerr black holes. We have shown that the 4/3 order FPT at critical points 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.</p>