Analytical and exact critical phenomena of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-dimensional singly spinning Kerr-AdS black holes

Wei, Shao-Wen; Cheng, Peng; Liu, Yu-Xiao

doi:10.1103/physrevd.93.084015

Cited by 79 publications

(57 citation statements)

References 71 publications

(88 reference statements)

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“…9(b), two metastable phases, the superheated small black hole and supercooled large black hole, are clearly shown. A detailed study of the superheated small black hole and supercooled large black hole can be found in [66].…”

Section: Thermodynamics and Phase Structuresmentioning

confidence: 99%

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Wei¹,

Liu²,

Mann³

2019

Phys. Rev. D

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121

113

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We present a novel approach for probing the microstructure of a thermodynamic system that combines thermodynamic phase transitions with the Ruppeiner scalar curvature. Originally considered for van der Waals fluids and charged black holes [Phys. Rev. Lett. 123, 071103 (2019)], we extend and generalize our approach to higher-dimensional charged AdS black holes. Beginning with thermodynamic fluctuations, we construct the line element of the Ruppeiner geometry and obtain a universal formula for the scalar curvature R. We first review the thermodynamics of a van der Waals fluid and calculate the coexistence and spinodal curves. From this we are able to clearly display the phase diagram. Notwithstanding the invalidity of the equation of state in the coexistence phase regions, we find that the scalar curvature is always negative for the van der Waals fluid, indicating that attractive interactions dominate amongst the fluid microstructures. Along the coexistence curve, the scalar curvature R decreases with temperature, and goes to negative infinity at a critical temperature. We then numerically study the critical phenomena associated with the scalar curvature, and find that the critical exponent is 2, and that R(1 −T ) 2 C v ≈ 1/8, whereT and C v are the respective reduced temperature and heat capacity. We next consider four-dimensional charged AdS black holes. Vanishing of the heat capacity at constant volume yields a divergent scalar curvature. In order to extract the corresponding information, we define a new scalar curvature that has behaviour similar to that of a van der Waals fluid. We analytically confirm that at the critical point of the small/large black hole phase transition, the scalar curvature has a critical exponent 2, and R(1 −T ) 2 C v = 1/8, the same as that of a van der Waals fluid. However we also find a significant distinction: the scalar curvature can be positive for the small charged AdS black hole, implying that repulsive interactions dominate among the black hole microstructures. We then generalize our study to higher-dimensional charged AdS black holes, and investigate the influence of the dimensionality on the black hole microstructures and the scalar curvature. Our novel approach provides a universal way for probing the microstructure of charged AdS black holes from a geometric construction.

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Section: Thermodynamics and Phase Structuresmentioning

confidence: 99%

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Wei¹,

Liu²,

Mann³

2019

Phys. Rev. D

Self Cite

121

113

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“…It is quite clear that the reduced state equation (24) is independent of the parameter α, which is mainly because that the neutral GB-AdS black hole is a single-characteristic-parameter system [41]. Moreover, we can express the state function with the thermodynamic volume…”

Section: Thermodynamics and Phase Transitionmentioning

confidence: 99%

Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

Wei

Liu

2020

Physics Letters B

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In this paper, we analytically study the phase structure and construct the Ruppeiner geometry in the extended phase space for the five-dimensional neutral Gauss-Bonnet AdS black hole. Through calculating the scalar curvature of the Ruppeiner geometry and combining the phase transition, we show that the attractive interaction is dominant in the microstructure of the black hole system.More significantly, there is an intriguing property that the normalized scalar curvature has the same expression for the saturated small and large black hole curves. This implies that although the microstructure is different before and after the small-large black hole phase transition, the interaction between the microscopic constituents keeps unchanged. These results are quite valuable on further understanding the microstructure of the AdS black hole in modified gravity.

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“…This traditional method has been extensively applied to the characterization of general thermodynamic systems and also to the establishing of complete simulation for AdS spacetime black hole thermodynamic liquid/gas system [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

Zhao

Cao

2016

Eur. Phys. J. C

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In order to achieve a deeper understanding of gravity theories, i.e., the quantum properties of gravity theories and the statistical explanation of gravitational entropy, it is important to further investigate the thermodynamic properties of a black hole at the critical point, besides the phase transition and critical behaviors. In this paper, by using Maxwell's equal area law, we choose T, Q, as the state parameters and study the phase equilibrium problem of a general (n + 1)-dimensional RN-AdS black holes thermodynamic system. The boundary of the two-phase coexistence region and its isotherm and isopotential lines are presented, which may provide a theoretical foundation for studying the phase transition and phase structure of black hole systems.

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Analytical and exact critical phenomena ofd-dimensional singly spinning Kerr-AdS black holes

Cited by 79 publications

References 71 publications

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes

Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole

Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

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