Fractional-order phase transition of charged AdS black holes

Employing the fractional derivatives, one can construct a more elaborate classification of phase transitions compared to the original Ehrenfest classification. In this way, a thermodynamic system can even undergo a fractional-order phase transition. We use this method to restudy the charged AdS blac...

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Bibliographic Details
Main Author: Meng-Sen Ma
Format: Article
Language:English
Published: Elsevier 2019-08-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931930437X
Description
Summary:Employing the fractional derivatives, one can construct a more elaborate classification of phase transitions compared to the original Ehrenfest classification. In this way, a thermodynamic system can even undergo a fractional-order phase transition. We use this method to restudy the charged AdS black hole and Van der Waals fluids and find that at the critical point they both have a 4/3-order phase transition, but not the previously recognized second-order one.
ISSN:0370-2693