Hawking-Page phase transitions of charged AdS black holes surrounded by quintessence *

Yan, Donghang; Huang, Z.X.; Li, Nan

doi:10.1088/1674-1137/abc0cf

Cited by 16 publications

(10 citation statements)

References 84 publications

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“…This fact makes it of importance to explore the reentrant HP transition for the spherical AdS black holes, which is left as a future task. The vantage is that many studies about HP transition [21][22][23][24][25][26][27][28][29][30][31], especially in the microcosmic [32][33][34], holographic [35][36][37] and AdS/QCD [51][52][53][54][55][56][57][58][59][60] framework, are aroused, very recently, which are useful for the future investigations.…”

Section: Some Universal Relationsmentioning

confidence: 99%

“…Especially, The HP transition could be explained as the confinement/deconfinement phase transition of gauge field [17], inspired by the AdS/CFT correspondence [18][19][20]. Very recently, many studies about HP transition in different backgrounds are aroused [21][22][23][24][25][26][27][28][29][30][31]. Especially, there are some viewpoints about the HP transition in the microcosmic [32][33][34] and holographic framework [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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Hawking-Page transition with reentrance and triple point in Gauss-Bonnet gravity

Cui,

Xu,

Zhu

2021

Preprint

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In this paper, a new family of Hawking-Page (HP) transition, the HP transition with reentrance and triple point is introduced for the first time, by investigating HP transition of hyperbolic AdS black hole in extended thermodynamics of general dimensional Gauss-Bonnet gravity. The Reentrant HP transition is composed of two HP transitions with a large and a small HP temperature, and the triple point corresponds to small black holes/massless black holes/large black holes (SBHs/MBHs/LBHs) phases all coexisting. We present the two branches of HP transition temperatures, which both depend on the pressure (i.e. the cosmological constant) and the Gauss-Bonnet constant. Besides, the pressure and the Gauss-Bonnet constant both enlarge the large HP temperature and diminish the small HP temperature. We also show the coexistence lines in the P − T phase diagrams. The triple point and an up critical point in phase diagrams for arbitrary dimensional Gauss-Bonnet AdS black hole systems are given, together with some interesting universal relations which only depend on the dimensions of spacetime. We can explain the reentrant HP transition and triple point of SBHs/MBHs/LBHs as the triple point of Hadronic matter/Quark-Gluon/Plasma/Quarkyonic matter in the QCD phase diagram. These results may improve the comprehension of the black hole thermodynamics in the quantum gravity framework and shed some light on the AdS/CFT correspondence beyond the classical gravity limit.

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Section: Some Universal Relationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hawking-Page transition with reentrance and triple point in Gauss-Bonnet gravity

Cui,

Xu,

Zhu

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…The Hawking-Page phase transition has been widely studied in the literature from holography to modified gravity theories [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]. In general, these studies are based on the assumption that black holes can be treated as the thermodynamic entities.…”

Section: Introductionmentioning

confidence: 99%

Kinetics of Hawking-Page phase transition with the non-Markovian effects

Li,

Wang

2022

Preprint

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Based on the free energy landscape description of Hawking-Page phase transition, the transition process from the Schwarzschild-anti-de Sitter black hole to the thermal anti-de Sitter space are considered to be stochastic under the thermal fluctuations. If the correlation time of the effective thermal bath is comparable or even longer than the oscillating time of the spacetime state in the potential well on the free energy landscape, the non-Markovian model of the black hole phase transition is required to study the kinetics of the transition processes. The non-Markovian or memory effect is represented by the time dependent friction kernel and the kinetics is then governed by the generalized Langevin equation complemented by the free energy potential. As the concrete examples, we study the effects of the exponentially decay friction kernel and the oscillatory friction kernel on the kinetics of Hawking-Page phase transition. For the exponentially decayed friction, the non-Markovian effects promote the transition process, and for the oscillatory friction, increasing the oscillating frequency also speeds up the transition process.

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“…As one of the dark energy models, quintessence [21] may explain the late-time cosmic acceleration [22]- [25]. Both the black holes surrounded by quintessence and their thermodynamic properties have gained considerable interest [26]- [42].…”

Section: Introductionmentioning

confidence: 99%

Effects of dark energy on dynamic phase transition of charged AdS black holes

Lan,

Mo,

et al. 2021

Preprint

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Searching for the effect of quintessence dark energy on the kinetics of black hole phase transition, we investigate in detail the dynamic phase transition of charged AdS black holes surrounded by quintessence in this paper. Based on the Gibbs free energy landscape, we obtain the analytic expression of the corresponding Gibbs free energy. As shown in GL −r+ curve at the phase transition temperature, there exist double wells with the same depth, providing further support on the finding in the former literature. By numerically solving the Fokker-Planck equation with both the initial condition and reflecting boundary condition imposed, we probe the probabilistic evolution of charged AdS black holes surrounded by quintessence. The peak denoting the initial black hole state gradually decreases while the other peak starts to grow from zero, approaching to be a stationary distribution in the long time limit with two peaks denoting the large and small black holes respectively. We also study the first passage process of charged AdS black holes surrounded by quintessence and discuss the relevant quantities. We resolve the Fokker-Planck equation by adding the absorbing boundary condition for the intermediate transition state. It is shown intuitively that the peaks located at the large (small) black hole decay very rapidly, irrespective of the initial black hole state. In all the procedures above, we have compared the cases with different choices of the state parameter of quintessence dark energy ωq. The larger ωq is, the faster the initial black hole state decays, showing the effect of quintessence dark energy. To the best of our knowledge, it is the first probe on the influence of dark energy on the dynamic phase transition of charged AdS black hole.

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Hawking-Page phase transitions of charged AdS black holes surrounded by quintessence *

Cited by 16 publications

References 84 publications

Hawking-Page transition with reentrance and triple point in Gauss-Bonnet gravity

Hawking-Page transition with reentrance and triple point in Gauss-Bonnet gravity

Kinetics of Hawking-Page phase transition with the non-Markovian effects

Effects of dark energy on dynamic phase transition of charged AdS black holes

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