Ehrenfest scheme for complex thermodynamic systems in full phase space

Zhao, Zixu; Jing, Jiliang

doi:10.1007/jhep11(2014)037

Cited by 22 publications

(9 citation statements)

References 37 publications

(69 reference statements)

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“…At present there are two common methods to investigate the critical phenomenon of AdS space-time Black Holes in the literature. The first is study the thermodynamics and state space geometry of black holes [18,19,25,26,[37][38][39]44,[48][49][50], which found that the black hole phase transition point meets the requirements of thermodynamic second-order phase transition. The second approach is to turn to Maxwell's equal area law and discuss the critical behavior of AdS space-time black hole system [19,[51][52][53][54][55], which have also proved the existence of second-order phase transition at black hole phase transformation point.…”

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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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%

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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“…This work is the further elaboration of Dolan's work where the critical behaviour of the AdS black holes in the extended phase space was discussed and the analogy with the Van der Waals was found [12]. Based this interesting work, the thermodynamics of various complicate spacetimes were discussed and many significative critical phenomena were found [13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30].…”

Section: Introductionmentioning

confidence: 83%

Modifying horizon thermodynamics by surface tensions

Chen

Zeng

2019

Gen Relativ Gravit

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The modified first laws of thermodynamics at the black hole horizon and the cosmological horizon of the Schwarzschild de Sitter black hole and the apparent horizon of the Friedmann-Robertson-Walker cosmology are derived by the surface tensions, respectively. The corresponding Smarr relations are obeyed. For the black hole, the cosmological constant is first treated as a fixed constant, and then as a variable associated to the pressure. The law at the apparent horizon takes the same form as that at the cosmological horizon, but is different from that at the black hole horizon. The positive temperatures guarantee the appearance of the worked terms in the modified laws at the cosmological and apparent horizons. While they can disappear at the black hole horizon.

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“…in which the subscript 1 and 2 represent phase 1 and 2 respectively. Recently, the Ehrenfest equation for AdS black hole thermodynamics system [29][30][31][32][33][34][35]47], has been studied and the PD Prigogine-Defay(PD) relation is obtained…”

Section: The Critical Effective In Charged Black Hole In Cavitymentioning

confidence: 99%

“…Refs. [29][30][31][32][33][34][35][36][37][38] have investigated the critical behavior of various black hole in AdS spacetime with Ehrenfest scheme. They found that the phase transition of black hole is the continuous one in AdS spacetime, and the thermodynamic quantities of the critical point satisfies the Ehrenfest equation.…”

Section: Introductionmentioning

confidence: 99%

The Phase Transition of Higher Dimensional Charged Black Holes

Guo¹,

Zhang³

et al. 2016

Advances in High Energy Physics

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In this paper,we have studied phase transitions of higher dimensional charge black hole with spherical symmetry. we calculated the local energy and local temperature, and find that these state parameters satisfy the first law of thermodynamics . We analyze the critical behavior of black hole thermodynamic system by taking state parameters (Q, Φ) of black hole thermodynamic system, in accordance with considering to the state parameters (P, V ) of Van der Waals system respectively. we obtain the critical point of black hole thermodynamic system, and find the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime, and is intrinsic property of black hole thermodynamic system.

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Ehrenfest scheme for complex thermodynamic systems in full phase space

Cited by 22 publications

References 37 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

Modifying horizon thermodynamics by surface tensions

The Phase Transition of Higher Dimensional Charged Black Holes

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