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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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
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author Meng-Sen Ma
author_facet Meng-Sen Ma
author_sort Meng-Sen Ma
collection DOAJ
description 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.
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spelling doaj.art-0ed31fdec55349afb425d2b31276cb172022-12-22T00:16:37ZengElsevierPhysics Letters B0370-26932019-08-01795490495Fractional-order phase transition of charged AdS black holesMeng-Sen Ma0Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China; Department of Physics, Shanxi Datong University, Datong 037009, China; Correspondence to: Institute of Theoretical Physics, Shanxi Datong University, Datong 037009, China.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.http://www.sciencedirect.com/science/article/pii/S037026931930437X
spellingShingle Meng-Sen Ma
Fractional-order phase transition of charged AdS black holes
Physics Letters B
title Fractional-order phase transition of charged AdS black holes
title_full Fractional-order phase transition of charged AdS black holes
title_fullStr Fractional-order phase transition of charged AdS black holes
title_full_unstemmed Fractional-order phase transition of charged AdS black holes
title_short Fractional-order phase transition of charged AdS black holes
title_sort fractional order phase transition of charged ads black holes
url http://www.sciencedirect.com/science/article/pii/S037026931930437X
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