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.

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 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 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.

Thermodynamic analysis of a long-range interacting spin system

2019 ◽  
Vol 33 (07) ◽  
pp. 1950072 ◽  
Author(s):  
Zhen-Yu Yang ◽  
Ji-Xuan Hou
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Order Phase Transition ◽  
First Order ◽  
Negative Specific Heat ◽  
Temperature Jumps ◽  
First Order Phase Transition ◽  
Canonical Approach ◽  
First Order Phase ◽  
Second Order Phase Transition

A long-range interacting Fermi chain placed in the uniform and the staggered magnetic field is studied via the micro-canonical approach. The relation between the entropy and the energy of the system is obtained by counting the number of microscopic states. We find that this system is non-ergodic and can exhibit first-order phase transition, second-order phase transition, or both. The microcanonical ensemble predicts negative specific heat regions and temperature jumps. Moreover, the global phase diagram of the system is constructed.

scholarly journals Determination of Phase Transition and Critical Behavior of the As-Cast GdGeSi-(X) Type Alloys (Where X = Ni, Nd and Pr)

Materials ◽  
2021 ◽  
Vol 14 (1) ◽  
pp. 185
Author(s):  
Piotr Gębara ◽  
Mariusz Hasiak
Keyword(s):  
Phase Transition ◽  
Order Phase Transition ◽  
Critical Behavior ◽  
Critical Exponents ◽  
Second Order ◽  
Experimental Result ◽  
First Order Phase Transition ◽  
First Order Phase ◽  
Second Order Phase Transition

The aim of the paper is to present a study of the magnetocaloric effect and the nature of phase transition in the Gd80Ge15Si5 (S1), Gd75Ge15Si5Ni5 (S2), Gd75Ge15Si5Pr5 (S3) and Gd75Ge15Si5Nd5 (S4) alloys. The magnetic entropy changes determined for studied samples, under external magnetic field ~3T, were 11.91, 12.11, 5.08 and 4.71 J/(kg K) for S1, S2, S3 and S4, respectively. The values of refrigerant capacity (under ~3T) were 164, 140, 160 and 140 J/kg for S1, S2, S3 and S4, respectively. The first order phase transition was detected for samples S1 and S2, while specimens S3 and S4 manifested the second order phase transition at the Curie point (TC). The analysis of temperature evolution of the exponent n (ΔSM = C·(Bmax)n) showed the validity of this method in detecting either the first or the second order phase transition and the structural transition. The analysis of critical behavior was carried out for samples S3 and S4. The critical exponents and precise TC values were calculated. The ascertained critical exponents were used to determine the theoretical value of the exponent n, which corresponded well with experimental result.

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