Fingerprinting the Fractional Order Phase Transitions in AdS Black Holes

Frontiers in Physics

Samir Iraoui¹  Mohamed Chabab² 

[1] null;[e-mail];

关键词: AdS black holes;    Gauss-Bonnet;    Kerr black holes;    phase transitions;    fractional order;   

DOI  :  10.3389/fphy.2020.620430

来源: Frontiers

【 摘 要 】

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, D 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.

【 授权许可】

CC BY