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

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.

20 pages, 37 figures, new version, appeared in Phys. Rev. D 89, 044002 (2014)

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• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Black hole phase transitions in Hořava-Lifshitz gravity
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