scholarly journals Phase Transition of the Horava-Lifshitz AdS Black Holes

2021 ◽  
Author(s):  
Yun-Zhi Du ◽  
Hui-Hua Zhao ◽  
Li-Chun Zhang
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Order Phase Transition ◽  
Coexistence Curve ◽  
Two Phase ◽  
First Order ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase

AbstractSome ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell’s equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole’s horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.

scholarly journals Geometric Curvatures of Plane Symmetry Black Hole

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Shao-Wen Wei ◽  
Yu-Xiao Liu ◽  
Chun-E. Fu ◽  
Hai-Tao Li
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Phase Transition ◽  
Semiclassical Approximation ◽  
Second Order ◽  
Plane Symmetry ◽  
First Order ◽  
First Order Phase Transition ◽  
Transition Points ◽  
First Order Phase

We study the properties and thermodynamic stability of the plane symmetry black hole from the viewpoint of geometry. We find that the Weinhold curvature gives the first-order phase transition atN=1, whereNis a parameter of the plane symmetry black hole while the Ruppeiner one shows first-order phase transition points for arbitraryN≠1. Considering the Legendre invariant proposed by Quevedo et al., we obtain a unified geometry metric, which contains the information of the second-order phase transition. So, the first-order and second-order phase transitions can be both reproduced from the geometry curvatures. The geometry is also found to be curved, and the scalar curvature goes to negative infinity at the Davie phase transition points beyond semiclassical approximation.

scholarly journals Effects of global monopole on critical behaviors and microstructure of charged AdS black holes

2021 ◽  
Vol 36 (26) ◽  
pp. 2150191
Author(s):  
Gao-Ming Deng ◽  
Jinbo Fan ◽  
Xinfei Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Topological Defect ◽  
Global Monopole ◽  
De Sitter ◽  
First Order ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
The Rich ◽  
First Order Phase

As an intriguing topological defect, global monopole’s influence on behaviors of black holes has always been anticipated but still remains obscure. Analyzing the thermodynamics of charged Anti-de Sitter (AdS) black hole incorporating a global monopole manifests that the black hole undergoes a Van der Waals-like first-order phase transition near the critical point. This paper concentrates on further investigating the transition, aiming at clarifying how the global monopole affects the criticality and microstructure of the charged AdS black holes. As a highlight, this research is implemented by employing new state parameters other than (T, P, V) description and contributes to deeper understanding the rich critical phenomena and phase structure of black holes.

scholarly journals Van der Waals-Like Phase Transition from Holographic Entanglement Entropy in Lorentz Breaking Massive Gravity

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Xian-Ming Liu ◽  
Hong-Bo Shao ◽  
Xiao-Xiong Zeng
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Entanglement Entropy ◽  
Massive Gravity ◽  
First Order ◽  
Holographic Entanglement Entropy ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Second Order Phase Transition

Phase transition of AdS black holes in Lorentz breaking massive gravity has been studied in the framework of holography. We find that there is a first-order phase transition (FPT) and second-order phase transition (SPT) both in Bekenstein-Hawking entropy- (BHE-) temperature plane and in holographic entanglement entropy- (HEE-) temperature plane. Furthermore, for the FPT, the equal area law is checked and for the SPT, the critical exponent of the heat capacity is also computed. Our results confirm that the phase structure of HEE is similar to that of BHE in Lorentz breaking massive gravity, which implies that HEE and BHE have some potential underlying relationship.

scholarly journals Reissner-Nordström Black Holes Statistical Ensembles and First-Order Thermodynamic Phase Transition

2019 ◽  
Vol 2019 ◽  
pp. 1-15
Author(s):  
Hossein Ghaffarnejad ◽  
Mohammad Farsam
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Coarse Graining ◽  
Phase Transition Behavior ◽  
First Order ◽  
First Order Phase Transition ◽  
Statistical Ensembles ◽  
First Order Phase ◽  
Thermodynamic Phase

We apply Debbasch proposal to obtain mean metric of coarse graining (statistical ensemble) of quantum perturbed Reissner-Nordstöm black hole (RNBH). Then we seek its thermodynamic phase transition behavior. Our calculations predict first-order phase transition which can take Bose-Einstein’s condensation behavior.

Two-phase coexisting state of n-hexatriacontane in the first-order phase transition

2003 ◽  
Vol 405 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Hidehiko Honda ◽  
Hiroshi Ogura ◽  
Shuichi Tasaki ◽  
Akio Chiba
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Two Phase ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

scholarly journals Holographic Phase Transition Probed by Nonlocal Observables

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Xiao-Xiong Zeng ◽  
Li-Fang Li
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Phase Transition ◽  
Entanglement Entropy ◽  
Second Order ◽  
Stable Phase ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Second Order Phase Transition

From the viewpoint of holography, the phase structure of a 5-dimensional Reissner-Nordström-AdS black hole is probed by the two-point correlation function, Wilson loop, and entanglement entropy. As the case of thermal entropy, we find for all the probes that the black hole undergoes a Hawking-Page phase transition, a first-order phase transition, and a second-order phase transition successively before it reaches a stable phase. In addition, for these probes, we find that the equal area law for the first-order phase transition is valid always and the critical exponent of the heat capacity for the second-order phase transition coincides with that of the mean field theory regardless of the size of the boundary region.

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