scholarly journals Microstructure and Continuous Phase Transition of the Einstein-Gauss-Bonnet AdS Black Hole

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Yun-Zhi Du ◽  
Hui-Hua Zhao ◽  
Li-Chun Zhang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Order Parameter ◽  
Critical Phenomenon ◽  
Thermodynamic System ◽  
Continuous Phase ◽  
New Order ◽  
Horizon Radius ◽  
Small Black Hole ◽  
Thermodynamic Geometry

The phase transition of the Einstein-Gauss-Bonnet AdS black hole has the similar property with the van der Waals thermodynamic system. However, it is determined by the Gauss-Bonnet coefficient α , not only the horizon radius. Furthermore, the phase transition is not the pure one between a big black hole and a small black hole. With this issue, we introduce a new order parameter to investigate the critical phenomenon and to give the microstructure explanation of the Einstein-Gauss-Bonnet AdS black hole phase transition. And the critical exponents are also obtained. At the critical point of the Einstein-Gauss-Bonnet AdS black hole, we reveal the microstructure of the black hole by investigating the thermodynamic geometry. These results perhaps provide some certain help to deeply explore the black hole microscopic structure and to build the quantum gravity.

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.

SIGNATURES OF AN EMERGENT GRAVITY FROM BLACK HOLE ENTROPY

2009 ◽  
Vol 18 (14) ◽  
pp. 2323-2327
Author(s):  
CENALO VAZ
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Mass Spectrum ◽  
Partition Function ◽  
Ground State ◽  
Degrees Of Freedom ◽  
Thermodynamic Description ◽  
Black Hole Entropy ◽  
Fundamental Particle ◽  
Horizon Radius

The existence of a thermodynamic description of horizons indicates that space–time has a microstructure. While the "fundamental" degrees of freedom remain elusive, quantizing Einstein's gravity provides some clues about their properties. A quantum AdS black hole possesses an equispaced mass spectrum, independent of Newton's constant, G, when its horizon radius is large compared to the AdS length. Moreover, the black hole's thermodynamics in this limit is inextricably connected with its thermodynamics in the opposite (Schwarzschild) limit by a duality of the Bose partition function. G, absent in the mass spectrum, re-emerges in the thermodynamic description through the Schwarzschild limit, which should be viewed as a natural "ground state." It seems that the Hawking–Page phase transition separates fundamental, "particle-like" degrees of freedom from effective, "geometric" ones.

scholarly journals Microstructure and continuous phase transition of a Reissner-Nordstrom-AdS black hole

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
Xiong-Ying Guo ◽  
Huai-Fan Li ◽  
Li-Chun Zhang ◽  
Ren Zhao
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Continuous Phase ◽  
Continuous Phase Transition

scholarly journals New type of phase transition in Reissner Nordström–AdS black hole and its thermodynamic geometry

2011 ◽  
Vol 696 (1-2) ◽  
pp. 156-162 ◽  
Author(s):  
Rabin Banerjee ◽  
Sumit Ghosh ◽  
Dibakar Roychowdhury
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
New Type ◽  
Thermodynamic Geometry

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 More insight into microscopic properties of RN-AdS black hole surrounded by quintessence via an alternative extended phase space

2018 ◽  
Vol 15 (10) ◽  
pp. 1850171 ◽  
Author(s):  
M. Chabab ◽  
H. El Moumni ◽  
S. Iraoui ◽  
K. Masmar ◽  
S. Zhizeh
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Phase Space ◽  
Microscopic Structure ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Horizon Radius ◽  
Insight Into

In this work, we study the phase transition of the charged-AdS black hole surrounded by quintessence via an alternative extended phase space defined by the charge square [Formula: see text] and her conjugate [Formula: see text], a quantity proportional to the inverse of horizon radius, while the cosmological constant is kept fixed. The equation of state is derived under the form [Formula: see text] and the critical behavior of such black hole analyzed. In addition, we examine the role of the quintessence parameter and its effects on phase transitions. Besides that, we explore the connection between the microscopic structure and Ruppeiner geothermodynamics. We also find that, at certain points of the phase space, the Ruppeiner curvature is characterised by the presence of singularities that are interpreted as a signal of the occurrence of the phase transitions.

scholarly journals Thermodynamics and phase transition in rotational Kiselev black hole

2019 ◽  
Vol 34 (30) ◽  
pp. 1950185 ◽  
Author(s):  
Zhaoyi Xu ◽  
Yi Liao ◽  
Jiancheng Wang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Thermodynamic Properties ◽  
Mass Formula ◽  
Order Approximation ◽  
Kerr Black Hole ◽  
Strength Parameter ◽  
Thermodynamic Quantities ◽  
State Formula ◽  
Thermodynamic Geometry

In this paper, we investigate the thermodynamic properties of rotational Kiselev black holes (KBH). Specifically, we use the first-order approximation of the event horizon (EH) to calculate thermodynamic properties for general equations of state [Formula: see text]. These thermodynamic properties include areas, entropies, horizon radii, surface gravities, surface temperatures, Komar energies and irreducible masses at the Cauchy horizon (CH) and EH. We study the products of these thermodynamic quantities, we find that these products are determined by the equation of state [Formula: see text] and strength parameter [Formula: see text]. In the case of the quintessence matter [Formula: see text], radiation [Formula: see text] and dust [Formula: see text], we discuss their properties in detail. We also generalize the Smarr mass formula and Christodoulou–Ruffini mass formula to rotational KBH. Finally, we study the phase transition and thermodynamic geometry for rotational KBH with radiation [Formula: see text]. Through analysis, we find that this phase transition is a second-order phase transition. Furthermore, we also obtain the scalar curvature in the thermodynamic geometry framework, indicating that the radiation matter may change the phase transition condition and properties for Kerr black hole.

scholarly journals The thermodynamics and phase transition of a rainbow black hole

2019 ◽  
Vol 35 (05) ◽  
pp. 2050010
Author(s):  
Zhong-Wen Feng ◽  
De-Ling Tang ◽  
Dan-Dan Feng ◽  
Shu-Zheng Yang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Thermodynamic System ◽  
Thermodynamic Quantities ◽  
Schwarzschild Black Hole ◽  
First Order Phase Transition ◽  
First Order Phase

In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing this new kind of rainbow functions. Our results demonstrate that the rainbow gravity and generalized uncertainty principle have a great effect on the picture of Hawking radiation. They prevent black holes from total evaporation and cause a remnant. In addition, after analyzing the modified local thermodynamic quantities, we find that the effect of rainbow gravity and the generalized uncertainty principle lead to one first-order phase transition, two second-order phase transitions and two Hawking–Page-type phase transitions in the thermodynamic system of rainbow Schwarzschild black hole.

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