On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes

Zhao, Ren; Zhao, Hui-Hua; Ma, Meng-Sen; Zhang, Lichun

doi:10.1140/epjc/s10052-013-2645-x

Cited by 159 publications

(79 citation statements)

References 97 publications

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“…This traditional method has been extensively applied to the characterization of general thermodynamic systems and also to the establishing of complete simulation for AdS spacetime black hole thermodynamic liquid/gas system [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 99%

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Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

Zhao

Cao

2016

Eur. Phys. J. C

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In order to achieve a deeper understanding of gravity theories, i.e., the quantum properties of gravity theories and the statistical explanation of gravitational entropy, it is important to further investigate the thermodynamic properties of a black hole at the critical point, besides the phase transition and critical behaviors. In this paper, by using Maxwell's equal area law, we choose T, Q, as the state parameters and study the phase equilibrium problem of a general (n + 1)-dimensional RN-AdS black holes thermodynamic system. The boundary of the two-phase coexistence region and its isotherm and isopotential lines are presented, which may provide a theoretical foundation for studying the phase transition and phase structure of black hole systems.

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Section: Introductionmentioning

confidence: 99%

“…[30], which implied the existence of a mechanical unstable region when the black hole temperature is low. In this region with partial negative pressure, pressure increases together with volume ∂ M/∂ P > 0 in the isotherm, which is similar to the result obtained from the P-V phase diagram of a Van der Waals-Maxwell liquid/gas.…”

Section: Introductionmentioning

confidence: 99%

Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

Zhao

Cao

2016

Eur. Phys. J. C

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“…By studying the critical behaviors of AdS black holes in the extended phase space, i.e. the P-V diagram [22][23][24][25][26][27][28][29][30][31][32][33][34][35], where P is the thermodynamic pressure associated with the cosmological constant, which takes the value…”

Section: Introductionmentioning

confidence: 99%

Gauss–Bonnet coupling constant as a free thermodynamical variable and the associated criticality

Zhao

2014

Eur. Phys. J. C

122

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The thermodynamic phase space of GaussBonnet (GB) AdS black holes is extended, taking the inverse of the GB coupling constant as a new thermodynamic pressure P GB . We studied the critical behavior associated with P GB in the extended thermodynamic phase space at fixed cosmological constant and electric charge. The result shows that when the black holes are neutral, the associated critical points can only exist in five dimensional GB-AdS black holes with spherical topology, and the corresponding critical exponents are identical to those for the Van der Waals system. For charged GB-AdS black holes, it is shown that there can be only one critical point in five dimensions (for black holes with either spherical or hyperbolic topologies), which also requires the electric charge to be bounded within some appropriate range; while in d > 5 dimensions, there can be up to two different critical points at the same electric charge, and the phase transition can occur only at temperatures which are not in between the two critical values.

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“…thermodynamics of charged topological dilaton black holes in the extend phase space are also studied [60]. For simplicity, we focus on a reduced four dimensional uncharged black holes with special parameters choice n = 3, Q = 0, k = 1, ω n−1 = 4π, α = √ 2, b = 1, in order to give a qualitative study of entropy relations and bounds.…”

Section: Entropy Relations and Bounds In Einstein-dilaton Gravitymentioning

confidence: 99%

Entropy relations and bounds of horizons in modified gravity

Liu

Meng

et al. 2017

EPL

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Abstract:We survey the applications of universal entropy relations in black holes with multi-horizons. In sharp distinction to conventional entropy product, the entropy relationship here not only improve our understanding of black hole entropy but was introduced as an elegant technique trick for handling various entropy bounds and sum. Despite the primarily technique role, entropy relations have provided considerable insight into several different types of gravity, including massive gravity, Einstein-Dilaton gravity and Horava-Lifshitz gravity. We present and discuss the results for each one.

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On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes

Cited by 159 publications

References 97 publications

Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

Q– $$\Phi $$ Φ criticality in the extended phase space of $$(n+1)$$ ( n + 1 ) -dimensional RN-AdS black holes

Gauss–Bonnet coupling constant as a free thermodynamical variable and the associated criticality

Entropy relations and bounds of horizons in modified gravity

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