Critical phenomena in higher curvature charged AdS black holes

Lala, Arindam

doi:10.48550/arxiv.1205.6121

Cited by 12 publications

(16 citation statements)

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“…With the increasing of the charge, such phase transition terminates at a critical point. The Q − Φ (charge-chemical potential) diagram of the charged black holes is quite similar to the P − v (pressure-volume) diagram of the van der Waals fluid [11][12][13][14][15][16][17][18][19][20]. Therefore the black hole system is shown to be analogous to the van der Waals fluid.…”

Section: Introductionmentioning

confidence: 66%

Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

2014

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We study the triple points and phase diagrams in the extended phase space of the charged GaussBonnet black holes in d-dimensional anti-de Sitter space, where the cosmological constant appears as a dynamical pressure of the system and its conjugate quantity is the thermodynamic volume of the black holes. Employing the equation of state T = T (v, P ), we demonstrate that the information of the phase transition and behavior of the Gibbs free energy are potential encoded in the T − v (T − r h ) line with fixed pressure P . We get the phase diagrams for the charged Gauss-Bonnet black holes with different values of the charge Q and dimension d. The result shows that the small/large black hole phase transitions appear for any d, which is reminiscent of the liquid/gas transition of a van der Waals type. Moreover, the interesting thermodynamic phenomena, i.e., the triple points and the small/intermediate/large black hole phase transitions are observed for d = 6and Q ∈ (0.1705, 0.1946).

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Section: Introductionmentioning

confidence: 66%

Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

2014

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“…This phase transition was argued superficially analogous to a liquid-gas phase transition in the Van der Waals fluid. The superficial reminiscence was also observed in other AdS black hole backgrounds [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Recently the study of thermodynamics in AdS black holes has been generalized to the extended phase space, where the cosmological constant is identified with thermodynamic pressure, P = − Λ 8π = 3 8πl 2 , in the geometric units G N = = c = k = 1. l denotes the AdS radius, which is considered varying [18][19][20][21][22] and is included in the first law of black hole thermodynamics to ensure the consistency between the first law of black hole thermodynamics and the Smarr formula [23].…”

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confidence: 67%

Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes

Liu

Zou

Wang

2014

J. High Energ. Phys.

113

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Abstract:We calculate the quasinormal modes of massless scalar perturbations around small and large four-dimensional Reissner-Nordstrom-Anti de Sitter (RN-AdS) black holes. We find a dramatic change in the slopes of quasinormal frequencies in small and large black holes near the critical point where the Van der Waals like thermodynamic phase transition happens. This further supports that the quasinormal mode can be a dynamic probe of the thermodynamic phase transition.

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“…The asymptotically AdS charged black holes admit a gauge duality description via a dual thermal field theory. This dual description suggests that charged AdS black holes exhibit critical behavior in the Q − φ diagram which is reminiscent to the liquidgas phase transitions in a Van der Waals system [6][7][8][9][10][11][12][13], where Q and φ denote the electric charge and potential, respectively.…”

Section: Introductionmentioning

confidence: 95%

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

Xu,

Zhao

2013

Preprint

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The thermodynamic phase space of Gauss-Bonnet (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 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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Critical phenomena in higher curvature charged AdS black holes

Cited by 12 publications

References 0 publications

Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes

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

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