Peculiar P-V criticality of topological Hořava-Lifshitz black holes

Peculiar P-V criticality of topological Hořava-Lifshitz black holes We demonstrate the existence of P-V criticality of the topological Hořava-Lifshitz (HL) black holes with a spherical horizon (k=1) in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of a van der Waals (VdW) system. For the uncharged case, the HL black hole has a peculiar P-V criticality. The critical behavior is completely controlled by a parameter ε, but not the temperature T. When ε is larger than a critical value εc, no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a “critical curve.” As far as we know, this is the first time to find this kind of peculiar P-V criticality. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Peculiar P-V criticality of topological Hořava-Lifshitz black holes

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Peculiar P-V criticality of topological Hořava-Lifshitz black holes

Abstract

We demonstrate the existence of P-V criticality of the topological Hořava-Lifshitz (HL) black holes with a spherical horizon (k=1) in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of a van der Waals (VdW) system. For the uncharged case, the HL black hole has a peculiar P-V criticality. The critical behavior is completely controlled by a parameter ε, but not the temperature T. When ε is larger than a critical value εc, no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a “critical curve.” As far as we know, this is the first time to find this kind of peculiar P-V criticality.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.024052
Publisher site
See Article on Publisher Site

Abstract

We demonstrate the existence of P-V criticality of the topological Hořava-Lifshitz (HL) black holes with a spherical horizon (k=1) in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of a van der Waals (VdW) system. For the uncharged case, the HL black hole has a peculiar P-V criticality. The critical behavior is completely controlled by a parameter ε, but not the temperature T. When ε is larger than a critical value εc, no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a “critical curve.” As far as we know, this is the first time to find this kind of peculiar P-V criticality.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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