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

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

doi:10.1140/epjc/s10052-019-7601-y

Cited by 37 publications

(29 citation statements)

References 85 publications

(67 reference statements)

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“…The continuous phase transition point depends only on the position ratio of the two horizons, and is not a single function of the electric charge, mass, and cosmological constant of the black hole. When a continuous phase transition occurs, the electric potential at the black hole horizon is a constant, which is similar to AdS black holes [36,37]. The phenomenon reflects that when RN-dS spacetime evolves to pure dS spacetime, the evolution process of spacetime is different due to the different charges in spacetime.…”

Section: Conclusion and Discussionmentioning

confidence: 91%

“…The thermodynamic properties of AdS black holes have been studied extensively . The study of the thermodynamic properties of black holes will not only deepen understanding of the nature of black holes, but also help to understand the microscopic particles inside black holes [30][31][32][33][34][35][36][37][38]. People first found that the charged AdS black hole has a characteristic similar to the Van de Waals phase transition when the independent variable P − V was selected.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamics of phase transition in Reissner-Nordstrom-de Sitter spacetime

Li¹,

Ma²,

Zhang³

et al. 2021

Preprint

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The Reissner-Nordstrom-de Sitter (RN-dS) spacetime can be considered as a thermodynamic system. Its thermodynamic properties are discussed that the RN-dS spacetime has phase transitions and critical phenomena similar to that of the Van de Waals system or the charged AdS black hole. The continuous phase transition point of RN-dS spacetime depends on the position ratio of the black hole horizon and the cosmological horizon. We discuss the critical phenomenon of the continuous phase transition of RN-dS spacetime with Landau theory of continuous phase transition, that the critical exponent of spacetime is same as that of the Van de Waals system or the charged AdS black hole, which have universal physical meaning. We find that the order parameters are similar to those introduced in ferromagnetic systems. Our universe is an asymptotically dS spacetime, thermodynamic characteristics of RN-dS spacetime will help us understand the evolution of spacetime and provide a theoretical basis to explore the physical mechanism of accelerated expansion of the universe.

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Section: Conclusion and Discussionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Thermodynamics of phase transition in Reissner-Nordstrom-de Sitter spacetime

Li¹,

Ma²,

Zhang³

et al. 2021

Preprint

Self Cite

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“…In this section, we first introduce the thermodynamics charged AdS black hole surrounded by quintessence by reviewing Refs. [46][47][48][49]. The line element of such a black hole is expressed as…”

Section: IImentioning

confidence: 99%

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Hendi,

Jafarzade

2020

Preprint

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Variation of the pressure of the bulk, or equivalently variation of the AdS radius (l) leads to variation of the boundary quantities: i) the number of colors N . ii) the volume of the space on which the field theory is formulated (since V ∝ l d−2 ). iii) the CFT charge Q which is related to the bulk charge Q b according to Q = lQ b . So, considering the cosmological constant as a new thermodynamical parameter may give the phase diagram an extra dimension. An alternative interpretation is suggested in [12], where the variation of the pressure in the bulk theory corresponds to vary the volume of the boundary field theory. In this approach, the number of colors is kept fixed, which requires the variation of Newton's constant to compensate the variation of the volume of the boundary field theory. This shows that one cannot employ such an approach (AdS/CFT correspondence) to investigate the extended thermodynamics of black holes.Considering the defined thermodynamic pressure and volume, one can study thermodynamics of black holes in a new framework, sometimes referred to as Black Hole Chemistry [13]. This change of perspective has led to a different concept of known processes and the discovery of a broad range of new phenomena associated with black holes such as van der Waals behavior [9,14], solid/liquid phase transitions [15], triple points [16], reentrant phase transitions [17] and heat engines [11]. Also, using black hole volume, one can study the black hole adiabatic compressibility which has attracted attention in connection with black hole stability [18]. This new perspective has also been successful in describing the thermodynamic structure of black holes in other gravitational theories such as Lovelock gravity [19], nonlinear electrodynamics [20], Einstein-Yang-Mills gravity [21], black holes with scalar hair [22], dyonic black holes [23], f(R) gravity [24], STU black holes [25], quasi topological gravity [26], conformal gravity [27] Poincare gauge gravity [28], Lifshitz gravity [29-31] and massive gravity [32].Since the thermodynamic behavior of black hole is highly affected by the variation of electric charge, an alternative approach for investigating van der Waals like phase transition is proposed [33,34] by considering the electric charge as a thermodynamic variable and fixing the cosmological constant. In this regard, a phase transition between the large and small black holes in the Q − Φ plane is seen. In addition, it is shown that [35] such a suggestion is mathematically problematic and physically unconventional and it is logical to consider the square of the electric charge, Q 2 , as a thermodynamic variable. In Ref. [35], the van der Waals like behavior of charged AdS black hole in Q 2 − Ψ plane with a fixed cosmological constant is studied. It is also obtained the critical exponents which were exactly coincident with those obtained for van der Waals liquid. As a keynote, we should emphasize that unlike the van der Waals liquid the mentioned phase transition occurred for temperature higher than criti...

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“…Further, the effect of dark energy on the efficiency of black hole heat engines has been studied in [33] showing that quintessence can improve the efficiency, especially at the critical point. Maxwell's equal area law was used by Guo in [34] to show that phase transitions of AdS black holes with quintessence can still be mapped to those of the liquid-gas system. More recently, it has been shown that quintessence alters the high temperature phase structure of black holes undergoing the Hawking-Page transition [35].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Curvature of AdS Black Holes with Dark Energy

Singh¹,

Ghosh²,

Bhamidipati³

2021

Front. Phys.

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In this paper, we study the effect of dark energy on the extended thermodynamic structure and interacting microstructures of black holes in AdS, through an analysis of thermodynamic geometry. Considering various limiting cases of the novel equation of state obtained in charged rotating black holes with quintessence, and taking enthalpy H as the key potential in the extended phase space, we scrutinize the behavior of the Ruppeiner curvature scalar R in the entropy-pressure (S,P)-plane (or equivalently in the temperature-volume (T,V)-plane). Analysis of R empirically reveals that dark energy parameterized by α, significantly alters the dominant interactions of neutral, charged and slowly rotating black hole microstructures. In the Schwarzschild-AdS case: black holes smaller than a certain size continue to have attractive interactions whereas larger black holes are completely dominated by repulsive interactions which arise to due dark energy. For charged or rotating AdS black holes with quintessence, R can change sign at multiple points depending upon the relation between α and charge q or angular momentum J. In particular, above a threshold value of α, R is never negative at all, suggesting heuristically that the repulsive interactions due to quintessence are long ranged as opposed to the previously known short ranged repulsion in charged AdS black holes. A mean field interaction potential is proposed whose extrema effectively capture the points where the curvature R changes sign.

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

Cited by 37 publications

References 85 publications

Thermodynamics of phase transition in Reissner-Nordstrom-de Sitter spacetime

Thermodynamics of phase transition in Reissner-Nordstrom-de Sitter spacetime

Critical behavior of charged AdS black holes surrounded by quintessence via an alternative phase space

Thermodynamic Curvature of AdS Black Holes with Dark Energy

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