scholarly journals Two-Phase Equilibrium Properties in Charged Topological Dilaton AdS Black Holes

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Hui-Hua Zhao ◽  
Li-Chun Zhang ◽  
Ren Zhao
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Equilibrium ◽  
Thermodynamic System ◽  
Two Phase ◽  
Clapeyron Equation ◽  
Ads Black Holes ◽  
Large Phase ◽  
Two Phases

We discuss phase transition of the charged topological dilaton AdS black holes by Maxwell equal area law. The two phases involved in the phase transition could coexist and we depict the coexistence region inP-vdiagrams. The two-phase equilibrium curves inP-Tdiagrams are plotted, the Clapeyron equation for the black hole is derived, and the latent heat of isothermal phase transition is investigated. We also analyze the parameters of the black hole that could have an effect on the two-phase coexistence. The results show that the black holes may go through a small-large phase transition similar to that of a usual nongravity thermodynamic system.

scholarly journals P–V criticality in the extended phase–space of charged accelerating AdS black holes

2016 ◽  
Vol 31 (37) ◽  
pp. 1650199 ◽  
Author(s):  
Hang Liu ◽  
Xin-He Meng
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Dynamic Pressure ◽  
Simple Relation ◽  
Extended Phase ◽  
Small Black Hole ◽  
Ads Black Holes ◽  
Large Phase

In this paper, we investigate the P–V criticality and phase transition of charged accelerating AdS black holes in the extended thermodynamic phase–space in analogy between black hole system and van der Waals liquid–gas system, where the cosmological constant [Formula: see text] is treated as a thermodynamical variable interpreted as dynamic pressure and its conjugate quantity is the thermodynamic volume of the black holes. When the electric charge vanishes, we find that no P–V criticality will appear but the Hawking–Page-like phase transition will be present, just as what Schwarzschild-AdS black holes behave like. For the charged case, the P–V criticality appears and the accelerating black holes will undergo a small black hole/large phase transition under the condition that the acceleration parameter A and the horizon radius rh meet a certain simple relation Arh = a, where a is a constant in our discussion. To make P–V criticality appear, there exists an upper bounds for constant a. When P–V criticality appears, we calculate the critical pressure P[Formula: see text], critical temperature T[Formula: see text] and critical specific volume r[Formula: see text], and we find that [Formula: see text] is an universal number.

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 Joule–Thomson expansion in AdS black hole with a global monopole

2018 ◽  
Vol 33 (35) ◽  
pp. 1850210 ◽  
Author(s):  
C. L. Ahmed Rizwan ◽  
A. Naveena Kumara ◽  
Deepak Vaid ◽  
K. M. Ajith
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Van Der Waals ◽  
Extended Phase Space ◽  
Global Monopole ◽  
Van Der Waals Gas ◽  
Extended Phase ◽  
Ads Black Holes

In this paper, we investigate the Joule–Thomson effects of AdS black holes with a global monopole. We study the effect of the global monopole parameter [Formula: see text] on the inversion temperature and isenthalpic curves. The obtained result is compared with Joule–Thomson expansion of van der Waals fluid, and the similarities were noted. Phase transition occuring in the extended phase space of this black hole is analogous to that in van der Waals gas. Our study shows that global monopole parameter [Formula: see text] plays a very important role in Joule–Thomson expansion.

scholarly journals Continuous phase transition and microstructure of charged AdS black hole with quintessence

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Xiong-Ying Guo ◽  
Huai-Fan Li ◽  
Li-Chun Zhang ◽  
Ren Zhao
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Fluid Model ◽  
Critical Phenomenon ◽  
Continuous Phase ◽  
Continuous Phase Transition ◽  
Small Black Hole ◽  
Ads Black Holes ◽  
Quintessence Field

Abstract Previously, the Maxwell equal-area law has been used to discuss the conditions satisfied by the phase transition of charged AdS black holes with cloud of string and quintessence, and it was concluded that black holes have phase transition similar to that of vdW system. The phase transition depends on the electric potential of the black hole and is not the one between a large black hole and a small black hole. On the basis of this result, we study the relation between the latent heat of the phase transition and the parameter of dark energy, and use the Landau continuous phase transition theory to discuss the critical phenomenon of the black hole with quintessence and give the critical exponent. By introducing the number density of the black hole molecules, some properties of the microstructure of black holes are studied in terms of a phase transition. It is found that the electric charge of the black hole and the normalization parameter related to the density of quintessence field play a key role in the phase transition. By constructing the binary fluid model of the black hole molecules, we also discuss the microstructure of charged AdS black holes with a cloud of strings and quintessence.

scholarly journals Critical Phenomena of Charged AdS Black Holes in Rastall Gravity

2020 ◽  
Vol 2020 ◽  
pp. 1-9
Author(s):  
De-Cheng Zou ◽  
Ming Zhang ◽  
Chao Wu ◽  
Rui-Hong Yue
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Cosmological Constant ◽  
De Sitter ◽  
Perfect Fluids ◽  
Large Black Hole ◽  
Ads Black Holes ◽  
Phantom Fields

We construct analytical charged anti-de Sitter (AdS) black holes surrounded by perfect fluids in four dimensional Rastall gravity. Then, we discuss the thermodynamics and phase transitions of charged AdS black holes immersed in regular matter like dust and radiation, or exotic matter like quintessence, ΛCDM type, and phantom fields. Surrounded by phantom field, the charged AdS black hole demonstrates a new phenomenon of reentrant phase transition (RPT) when the parameters Q, Np, and ψ satisfy some certain condition, along with the usual small/large black hole (SBH/LBH) phase transition for the surrounding dust, radiation, quintessence, and cosmological constant fields.

scholarly journals λ Phase Transition in Horava Gravity

2018 ◽  
Vol 2018 ◽  
pp. 1-14 ◽  
Author(s):  
Wei Xu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Space ◽  
Five Dimensions ◽  
Ads Black Holes ◽  
Horava Gravity ◽  
Temperature Constraint ◽  
The One ◽  
Similar Phase

We present another example of superfluid black hole containing λ phase transition in Horava gravity. After studying the extended thermodynamics of general dimensional Horava-Lifshitz AdS black holes, it is found that only the one with spherical horizon in four and five dimensions has λ phase transition, which is a line of (continuous) second-order phase transitions and was famous in the discussion of superfluidity of liquid He4. The “superfluid” black hole phase and “normal” black hole phase are also distinguished. Particularly, six-dimensional Horava-Lifshitz AdS black holes exhibit infinitely many critical points in P-ν plane and the divergent points for specific heat, for which they only contain the “normal” black hole phase and the “superfluid” black hole phase disappears due to the physical temperature constraint; therefore there is no similar phase transition. In more than six dimensions, there is no P-ν critical behavior. After choosing the appropriate ordering field, we study the critical phenomena in different planes of thermodynamical phase space. We also calculate the critical exponents, which are the same as the van der Waals fluid.

scholarly journals Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

2017 ◽  
Vol 32 (35) ◽  
pp. 1750204 ◽  
Author(s):  
Gao-Ming Deng ◽  
Yong-Chang Huang
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Van Der Waals ◽  
First Order ◽  
Conformally Invariant ◽  
Large Black Hole ◽  
Ads Black Holes ◽  
The One ◽  
Liquid Vapor

The phase transition and critical behaviors of charged AdS black holes in [Formula: see text] gravity with a conformally invariant Maxwell (CIM) source and constant curvature are further investigated. As a highlight, this research is carried out by employing new state parameters [Formula: see text] and contributes to deeper understanding of the thermodynamics and phase structure of black holes. Our analyses manifest that the charged [Formula: see text]-CIM AdS black hole undergoes a first-order small–large black hole phase transition, and the critical behaviors qualitatively behave like a Van der Waals liquid–vapor system. However, differing from the case in Einstein’s gravity, phase structures of the black holes in [Formula: see text] theory exhibit an interesting dependence on gravity modification parameters. Moreover, we adopt the thermodynamic geometry to probe the black hole microscopic properties. The results show that, on the one hand, both the Ruppeiner curvature and heat capacity diverge exactly at the critical point, on the other hand, the [Formula: see text]-CIM AdS black hole possesses the property as ideal Fermi gases. Of special interest, we discover a microscopic similarity between the black holes and a Van der Waals liquid–vapor system.

scholarly journals Phase-equilibrium of supraconductors in a magnetic field

1935 ◽  
Vol 152 (877) ◽  
pp. 650-663 ◽  
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Phase Equilibrium ◽  
Electric Field ◽  
Transition Point ◽  
Normal Phase ◽  
Constant Current ◽  
Two Phase ◽  
Small Fields ◽  
Two Phases

At present it seems to be doubtful whether in the theory of supraconductivity the conception of two phases, a supraconducting and a normal phase, can describe the transformation between the two states and how far the equations which were first proposed for the pure supraconducting state in small fields remain true, when both phases are present. Especially it seems to be impossible to describe a phasetransition when an electric field is present, as probably occurs when one cools a wire carrying a constant current. However, where there is only a magnetic field the problem can be treated consistently, and the results are in agreement with experiment, and so it may be worth while to try the two-phase hypothesis, excluding equilibrium states in an electric field. The disturbance of supraconductivity by a magnetic field H T at a temperature t below the transition point has been treated thermodynamically by Gorter as a phase transition, the supraconducting phase being characterized by a zero value of the magnetic induction B

scholarly journals THERMODYNAMIC GEOMETRY AND CRITICAL BEHAVIOR OF BLACK HOLES

2007 ◽  
Vol 22 (01) ◽  
pp. 11-27 ◽  
Author(s):  
JIANYONG SHEN ◽  
RONG-GEN CAI ◽  
BIN WANG ◽  
RU-KENG SU
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Critical Behavior ◽  
Hessian Matrix ◽  
Black Hole Entropy ◽  
De Sitter ◽  
Ads Black Holes ◽  
Gas System ◽  
The One

Based on the observations that there exists an analogy between the Reissner–Nordström–Anti-de Sitter (RN–AdS) black holes and the van der Waals–Maxwell liquid-gas system, in which a correspondence of variables is (ϕ,q) ↔ (V,P), we study the Ruppeiner geometry, defined as Hessian matrix of black hole entropy with respect to the internal energy (not the mass) of black hole and electric potential (angular velocity), for the RN, Kerr and RN–AdS black holes. It is found that the geometry is curved and the scalar curvature goes to negative infinity at the Davies' phase transition point for the RN and Kerr black holes. Our result for the RN–AdS black holes is also in good agreement with the one about phase transition and its critical behavior in the literature.

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