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

Guo, Xiong-Ying; Li, Huai-Fan; Zhang, Lichun; Zhao, Ren

doi:10.1103/physrevd.100.064036

Cited by 60 publications

(49 citation statements)

References 58 publications

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“…, this result identify with the one of RN-AdS black hole [62]. When ω = −2/3, r 1 = r 2 = r c , Form Eq.…”

Section: The Construction Of Equal-area Law In P − V Diagramsupporting

confidence: 56%

“…According to Eq. When ω = −2/3, the second phase transition position of charged AdSQ black hole is only related to electric potential, which is the same as charged AdS black hole [62].…”

Section: The Construction Of Equal-area Law In P − V Diagrammentioning

confidence: 98%

“…(5.7), the critical index of β = 1/2. According to the method of the literature [62], We can obtain the critical exponent α =ᾱ ′ = 0, γ = γ ′ = 1, δ = 3, and the entropy of charged AdSQ black hole near the critical point.…”

Section: )mentioning

confidence: 99%

“…The system has different physical properties in two phases and thus has different microstructure in different phases. In the literature [62], Maxwell equal-area law was used to discuss the critical behavior of the RN-AdS black hole, and it was found that the generation of the phase transition of the RN-AdS black hole was mainly determined by the electric potential at the event horizon of the black hole, rather than simply determined by the size of the black hole. The recent observations, showed that the dark energy is prevailing in our universe [64,65].…”

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confidence: 99%

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

Guo

Zhang

et al. 2020

Eur. Phys. J. C

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First, Maxwell equal-area law was 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 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 black hole molecules, some properties of the microstructure of black holes are studied through 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 phase transition. By constructing the binary fluid model of black hole molecules, we also discuss the microstructure of charged AdS black holes with cloud of string and quintessence.

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“…, this result identify with the one of RN-AdS black hole [62]. When ω = −2/3, r 1 = r 2 = r c , Form Eq.…”

Section: The Construction Of Equal-area Law In P − V Diagramsupporting

confidence: 56%

“…According to Eq. When ω = −2/3, the second phase transition position of charged AdSQ black hole is only related to electric potential, which is the same as charged AdS black hole [62].…”

Section: The Construction Of Equal-area Law In P − V Diagrammentioning

confidence: 98%

Section: )mentioning

confidence: 99%

mentioning

confidence: 99%

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

Guo

Zhang

et al. 2020

Eur. Phys. J. C

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“…This yielded the first insight into black hole microstructure. This approach has since been generalized to other black hole systems [50][51][52][53][54][55][56][57][58].…”

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confidence: 99%

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

Wei¹,

Liu²,

Mann³

2019

Phys. Rev. D

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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Photon orbits and phase transition for non-linear charged anti-de Sitter black holes

Liu

et al. 2023

J. High Energ. Phys.

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In this work, we investigate the relation between the photon sphere radius and the first-order phase transition for the charged Einstein-power-Yang-Mills AdS black hole. Through the analysis, we find with a certain condition there exist the non-monotonic behaviors between the photon sphere radius, the impact parameter, the non-linear Yang-Mills charge parameter, temperature, and pressure. And both the changes of photon sphere radius and impact parameter before and after phase transition can be regarded as the order parameter, their critical exponents near the critical point are equal to the same value 1/2, just like the ordinary thermal systems. These indicate that there maybe exists a universal relation of gravity nearby the critical point for a black hole thermodynamical system. Furthermore, the effect of impact parameter on the deflect angle is also investigated.

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

Cited by 60 publications

References 58 publications

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

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

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

Photon orbits and phase transition for non-linear charged anti-de Sitter black holes

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