Thermodynamic geometry and phase transition of spinning AdS black holes

Dehyadegari, Amin; Sheykhi, Ahmad

doi:10.1103/physrevd.104.104066

Cited by 4 publications

(4 citation statements)

References 53 publications

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“…In recent years the thermodynamic geometry has been more and more invoked to study the microscopic structure of charged AdS BHs [2,3,[21][22][23][24][25]. Because the thermodynamic scalar curvature R associated with BHs provides us with essential information related to the characters of the intermolecular force [26][27][28]:…”

Section: Thermodynamic Geometrymentioning

confidence: 99%

Towards the intermolecular force in charged AdS black hole

Hoang,

Tran,

Nguyen

2023

Nucl. Sci. and Tech.

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In this paper we attempt to find the intermolecular force of charged AdS black holes (BH). We first write the equation of state of BH in the form of the van der Waals (vdW) equation and show that this equation describes accurately the BH phase transition. Based on the Lennard- Jones (LJ) potential we establish the modified LJ force which is compatible with this vdW equation. Of particular interest, in the first time we find that this force can be always written as the sum of the topological force, created by the topological charge, and the electrostatic force, created by charged conducting micro-sphere with definite radius. Then the phase transition of BH is totally controlled by these forces. In the process of phase transition from small to large BHs the sum of these forces changes from repulsive to attractive forces and this behavior is supported by the scalar curvature of the thermodynamic geometry. Combining these properties, we arrive at the physical picture of the BH molecules: they behave like charged conducting micro-spheres which bear topological charge. It necessarily to remark that although our intermolecular force is better than the one obtained recently in [29], it remains an approximate force.

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Section: Thermodynamic Geometrymentioning

confidence: 99%

Towards the intermolecular force in charged AdS black hole

Hoang,

Tran,

Nguyen

2023

Nucl. Sci. and Tech.

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“…This result is very distinct from that of van der Waals systems, which only present attractive interaction between their microscopic molecules [37]. Such a method combining phase transition and Ruppeiner geometry has also been used to investigate the microstructures of several other black hole systems [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

Microstructure of charged AdS black hole with minimal length effects*

Bai¹,

Aoyun²,

Teishima³

2022

Chinese Phys. C

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In this work, the microstructure of charged AdS black holes under minimal length effects is investigated. We study the thermodynamics of black holes in the extended phase space, where the cosmological constant is regarded as the thermodynamic pressure. The modified Hawking temperature and phase transition are obtained based on the generalized uncertainty principle (GUP). Then, using thermodynamic geometry, the microstructure of black holes can be determined by the ratio of GUP parameter to charge. For a small ratio, the black hole exhibits the typical RN-AdS microstructure with van der Waals phase transition and repulsive/attractive interactions. As the ratio increases, the reentrant phase transition takes place, and both the repulsion-attraction coexisted black hole and the attraction dominated black hole can be found in this case. For a large ratio, the black hole behaves like a Schwarzchild-AdS black hole in which neither phase transition nor repulsive interaction exists. These results suggest that the GUP effect will reduce the repulsive interaction presented by the charged AdS black hole.

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“…On the other hand, the thermodynamic properties and evolution of black holes can be described not only by the Hawking temperature and the corresponding entropy but also by their phase structures and critical phenomena [54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][74][75][76][77][78][79][80][81][82][83].…”

Section: Introductionmentioning

confidence: 99%

Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity

2022

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In this work, we conduct a study regarding the thermodynamic evolution and the phase transition of a black hole in a finite spherical cavity subject to the generalized uncertainty principle. The results demonstrate that both the positive and negative generalized uncertainty principle parameters β0 can significantly affect the thermodynamic quantities, stability, critical behavior, and phase transition of the black hole. For β0 > 0, the black hole forms a remnant with finite temperature, finite mass, and zero local heat capacity in the last stages of evolution, which can be regarded as an elementary particle. Meanwhile, it undergoes one second-order phase transition and two Hawking-Page-type phase transitions. The Gross-Perry-Yaffe phase transition occurs for both large black hole configuration and small black hole configuration. For β0 < 0, the Gross-Perry-Yaffe phase transition occurs only for large black hole configuration, and the temperature and heat capacity of the black hole remnant is finite, whereas its mass is zero. This indicates the remnant is metastable and would be in the Hawking-Page-type phase transition forever. Specifically, according to the viewpoint of corpuscular gravity, the remnant can be interpreted as an additional metastable tiny black hole configuration, which never appears in the original case and the positive correction case.

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Thermodynamic geometry and phase transition of spinning AdS black holes

Cited by 4 publications

References 53 publications

Towards the intermolecular force in charged AdS black hole

Towards the intermolecular force in charged AdS black hole

Microstructure of charged AdS black hole with minimal length effects*

Impacts of Generalized Uncertainty Principle on the Black Hole Thermodynamics and Phase Transition in a Cavity

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