Repulsive Interactions and Universal Properties of Charged Anti–de Sitter Black Hole Microstructures

Wei, Shao-Wen; Liu, Yu-Xiao; Mann, Robert B.

doi:10.1103/physrevlett.123.071103

Cited by 202 publications

(187 citation statements)

References 37 publications

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“…which shows that the critical value of RC Φ t 2 may depend on the boundary conditions of the black hole. In [71], R of an RN-AdS black hole was calculated in the thermodynamic coordinates x µ = (T, V ), and it was found lim t→0 RC V t 2 = −1/8, which agrees with the numerical result of the Van der Waals fluid. However, there is a sign difference between our AdS result in eqn.…”

Section: Critical Behaviorsupporting

confidence: 75%

Thermodynamic geometry of AdS black holes and black holes in a cavity

Wang

Yang

2020

Eur. Phys. J. C

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The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner-Nordstrom-AdS black hole and a Reissner-Nordstrom black hole in a cavity, which can reach equilibrium in a canonical ensemble. Although the phase structure and critical behavior of both cases show striking resemblance, we find that there exist significant differences between the thermodynamic geometry of these two cases. Our results imply that there may be a connection between the black hole microstates and its boundary condition.

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Section: Critical Behaviorsupporting

confidence: 75%

Thermodynamic geometry of AdS black holes and black holes in a cavity

Wang

Yang

2020

Eur. Phys. J. C

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“…When the temperature T 0 ≤ T c , 0 < x ≤ 1, one take the order parameter Fig.(4). we find that the curves are coincident with differential Recently, the microstructure of phase transition of black holes has been studied, and the phase transition between black holes of different sizes is caused by the different density of molecules number of black holes with different sizes [1][2][3][4][5][6]. Considering the influence of charge and quintessence on phase transition, we re-examined the physical mechanism of phase transition in charged AdSQ black hole.…”

Section: Black Holementioning

confidence: 93%

“…An object with temperature has a microstructure. According to this view, the literature [1][2][3] proposes that black holes are also composed of valid molecules. They think that just as our rooms are filled with air molecules, the interior of a black hole is filled with a kind of "black hole molecule".…”

mentioning

confidence: 99%

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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“…Consequently some micro information of the associated black hole is not revealed from the thermodynamic geometry. One of the feasible solutions is the introduction of normalized thermodynamic curvature proposed by the authors [17][18][19] by treating the heat capacity at constant volume as a constant very close to zero. Thus, the microscopic behaviors of RN-AdS and GB-AdS black holes have been analyzed in detail with the help of the normalized thermodynamic curvature.…”

Section: Motivationmentioning

confidence: 99%

Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole

Yang

2020

Phys. Rev. D

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Due to the non-independence of entropy and thermodynamic volume for spherically symmetric black holes in the AdS spacetime, when applying the Ruppeiner thermodynamic geometry theory to these black holes, we often encounter an unavoidable problem of the singularity about the line element of thermodynamic geometry. In this paper, we propose a basic and natural scheme for dealing with the thermodynamic geometry of spherically symmetric AdS black holes. We point out that enthalpy, not internal energy, is the fundamental thermodynamic characteristic function for the Ruppeiner thermodynamic geometry. Based on this fact, we give the specific forms of the line element of thermodynamic geometry for Schwarzschild AdS (SAdS) black hole in different phase spaces and the results show that the thermodynamic curvatures obtained in different phase spaces are equivalent. It is shown that the thermodynamic curvature is negative which implies that the attractive interaction dominates between black hole molecules for the SAdS black hole. Meanwhile we also give an approximate expression of the thermodynamic curvature of the Schwarzschild black hole which indicates that the black hole is dominated by repulsion on low temperature region and by attraction on high temperature region.

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Repulsive Interactions and Universal Properties of Charged Anti–de Sitter Black Hole Microstructures

Cited by 202 publications

References 37 publications

Thermodynamic geometry of AdS black holes and black holes in a cavity

Thermodynamic geometry of AdS black holes and black holes in a cavity

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

Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole

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