Maxwell’s equal area law for black holes in power Maxwell invariant

Li, Huai-Fan; Guo, Xiong-Ying; Zhao, Hui-Hua; Zhao, Ren

doi:10.1007/s10714-017-2280-1

Cited by 13 publications

(6 citation statements)

References 77 publications

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“…Black hole horizon position r + and the position of the cosmological horizon r c satisfy g(r +,c ) = 0. Considering the connection between the black hole horizon and the cosmological horizon, we can derive the effective thermodynamic quantities and corresponding first law of black hole thermodynamics [55][56][57][58] dM = T eff dS − P eff dV + φ eff dQ ,…”

Section: Effective Thermodynamic Quantity Of Rn-ds Spacetimementioning

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: Effective Thermodynamic Quantity Of Rn-ds Spacetimementioning

confidence: 99%

“…where r +2 is given by the Maxwell equal area law [56][57][58][59][60]. When the effective temperature approaches the critical temperature, we have y → 1, r +2 → r c + .…”

Section: The Critical Phenomena and Critical Exponents Of Rn-ds Space...mentioning

confidence: 99%

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

Li¹,

Ma²,

Zhang³

et al. 2021

Preprint

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“…For the Einstein-Gauss-Bonnet AdS black hole with the fixed Gauss-Bonnet coefficient α and the temperature T 0 ≤ T c (T c is the critical temperature), we mark the horizontal and longitudinal coordinates at the boundary of the two-phase coexistence area as V 1 , V 2 , and P 0 in the P − V phase diagram. From Maxwell's equal-area law [22,30,31,50,51]…”

Section: Construction Of Equal-area Law In P − V Phasementioning

confidence: 99%

“…For an ordinary thermodynamic system, the phase transition points are the state function of the system and are independent with the adoption of the independent dual parameters. In Section 3, we discuss the phase transition of the Einstein-Gauss-Bonnet AdS black hole for different adoptions of the independent dual parameters by Maxwell's equal-area law [30,31]. If one certain adoption of the independent dual parameters will lead to a different phase transition point with other adoptions, the corresponding independent dual parameters are not regarded as black hole independent dual parameters.…”

Section: Introductionmentioning

confidence: 99%

Microstructure and Continuous Phase Transition of the Einstein-Gauss-Bonnet AdS Black Hole

Zhao

Zhang

2020

Advances in High Energy Physics

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The phase transition of the Einstein-Gauss-Bonnet AdS black hole has the similar property with the van der Waals thermodynamic system. However, it is determined by the Gauss-Bonnet coefficient α , not only the horizon radius. Furthermore, the phase transition is not the pure one between a big black hole and a small black hole. With this issue, we introduce a new order parameter to investigate the critical phenomenon and to give the microstructure explanation of the Einstein-Gauss-Bonnet AdS black hole phase transition. And the critical exponents are also obtained. At the critical point of the Einstein-Gauss-Bonnet AdS black hole, we reveal the microstructure of the black hole by investigating the thermodynamic geometry. These results perhaps provide some certain help to deeply explore the black hole microscopic structure and to build the quantum gravity.

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“…The determination of the phase transition point is independent of the choice of independent conjugate variables. Using the Maxwell's equal area law we discuss that the phase transition points of AdS black hole should be the same with different independent conjugate variables [42][43][44][45][46][47][48]. When the phase transition points obtained by the independent conjugate variable are different from those obtained by other independent conjugate variable, we believe that this set of independent conjugate variable cannot be regarded as the conjugate variable of AdS black hole.…”

Section: Introductionmentioning

confidence: 99%

Maxwell's equal-area law with several pairs of conjugate variables for RN-AdS black holes

Guo

Zhao

2019

Eur. Phys. J. Plus

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In this paper, using Maxwell's equal-area law we study the phase transition of charged AdS black holes by choosing different independent conjugate variables. As is well known, the phase transition can be characterized by the state function of the system, the determination of the phase transition point has nothing to do with the choice of independent conjugate variables. To studying the thermodynamic properties of AdS black holes we give the conditions under which the independent conjugate variables are chosen. When the charge of the black hole is invariable, according to the conditions we find that the phase transition is related to the electric potential and the horizon radius of the charged black hole. Keeping the cosmological constant as a fixed parameter, the phase transition of a charged AdS black hole is related to the ratio of the event horizon to cosmological constant of the black hole. This conclusion is of great importance for us to study the critical phenomenon of black holes and to improve the self-consistent geometry theory of black hole thermodynamic.

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Maxwell’s equal area law for black holes in power Maxwell invariant

Cited by 13 publications

References 77 publications

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

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

Microstructure and Continuous Phase Transition of the Einstein-Gauss-Bonnet AdS Black Hole

Maxwell's equal-area law with several pairs of conjugate variables for RN-AdS black holes

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