Extended phase space thermodynamics and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>P</mml:mi><mml:mo>−</mml:mo><mml:mi>V</mml:mi></mml:math>criticality of black holes with a nonlinear source

Hendi, S. H.; Vahidinia, M. H.

doi:10.1103/physrevd.88.084045

Cited by 273 publications

(150 citation statements)

References 55 publications

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“…This analogy becomes more natural in this extended phase space. Until now, these critical behaviour of a lot of black hole systems in this extended phase space are under discussion in this direction [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. It is worth to noting that, in four-dimensional Born-Infeld AdS black holes [4], the impact of the nonlinearity can bring the new phenomenon of reentrant phase transition which was observed in rotating AdS holes [19,20], while this reentrant phase transition does not occur for higher dimensional Born-Infeld AdS black holes [21].…”

Section: Introductionmentioning

confidence: 99%

$$P$$ P – $$V$$ V criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

et al. 2015

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We study the P − V critical behaivor of N-dimensional AdS black holes in Einstein-Maxwellpower-Yang-Mills gravity. Our results show the existence of the Van der Waals like small-large black hole phase transitions when taking some special values of charges of the Maxwell and YangMills (YM) fields. Further to calculate the critical exponents of the black holes at the critical point, we find that they are the same as those in the Van der Waals liquid-gas system.

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Section: Introductionmentioning

confidence: 99%

$$P$$ P – $$V$$ V criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

et al. 2015

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“…In fact, the same form (Eq. (12)) can also be found in different black hole systems [8,9], and we can also obtain ρ c = 3/8 withα = 1/α.…”

Section: The Generalization Of Black Hole Specific Volume and Numentioning

confidence: 81%

“…For more novel results see [7]. This work is a great success in studying phase transition of black holes and investigations in different black hole systems have been carried out [8][9][10][11][12][13][14][15][16].…”

Section: Review Of the Thermodynamics And P − V Criticality Of Chmentioning

confidence: 99%

The generalization of charged AdS black hole specific volume and number density

Wang

Fang

et al. 2017

Gen Relativ Gravit

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In this paper, by proposing a generalized specif ic volume, we restudy the P − V criticality of charged AdS black holes in the extended phase space. The results show that most of the previous conclusions can be generalized without change, but the ratioρ c should be 3α/16 in general case. Further research on the thermodynamical phase transition of black hole leads us to a natural interpretation of our assumption, and more black hole properties can be generalized. Finally, we study the number density for charged AdS black hole in higher dimensions, the results show the necessity of our assumption.

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“…r d + , d ∈ N) in the Van der Waals equation of state changes the location of critical point in thermodynamic space (P, V, T ), but does not change the universality class and therefore leads to the same exponents as the Van der Waals fluid (see [12,16] for more details). This is different from the case of pure Lovelock gravity solutions [49], which the equation of state is no longer a polynomial form.…”

Section: Figmentioning

confidence: 99%

“…Even from a bulk perspective such black holes and their thermodynamics which exhibits various phase transitions, are quite interesting. Second, the behavior of the black hole phase transition in the asymptotically AdS spacetime is like the Van der Waals liquid/gas [9,10], and also, is different from those of black holes in the flat space [11,12]. Studying thermodynamic behavior of black holes in an asymptotically AdS spacetime has been done first by Hawking and Page in 1983 [13].…”

Section: Introductionmentioning

confidence: 99%

Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Hendi

Panahiyan

Momennia

2016

Int. J. Mod. Phys. D

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In this paper, we consider quadratic Maxwell invariant as a correction to the Maxwell theory and study thermodynamic behavior of the black holes in Einstein and Gauss-Bonnet gravities. We consider cosmological constant as a thermodynamic pressure to extend phase space. Next, we obtain critical values in case of variation of nonlinearity and Gauss-Bonnet parameters. Although the general thermodynamical behavior of the black hole solutions is the same as usual Van der Waals system, we show that in special case of the nonlinear electromagnetic field, there will be a turning point for the phase diagrams and usual Van der Waals is not observed. This theory of nonlinear electromagnetic field provides two critical horizon radii. We show that this unusual behavior of phase diagrams is due to existence of second critical horizon radius. It will be pointed out that the power of the gravity and nonlinearity of the matter field modify the critical values. We generalize the study by considering the effects of dimensionality on critical values and make comparisons between our models with their special sub classes. In addition, we examine the possibility of the existence of the reentrant phase transitions through two different methods.

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Extended phase space thermodynamics andP−Vcriticality of black holes with a nonlinear source

Cited by 273 publications

References 55 publications

$$P$$ P – $$V$$ V criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

$$P$$ P – $$V$$ V criticality of AdS black hole in the Einstein–Maxwell–power-Yang–Mills gravity

The generalization of charged AdS black hole specific volume and number density

Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

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