Ehrenfest scheme for P-V criticality in the extended phase space of black holes

Mo, Jie-Xiong; Liu, Wenbiao

doi:10.1016/j.physletb.2013.10.045

Cited by 95 publications

(52 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been proved that at the phase transition point, the second-order phase transition exists in AdS spacetime black holes and the thermodynamics agree very well with Ehrenfest equation [12,15,17,35,36,46,47]. At present there are two common methods to investigate the critical phenomenon of AdS space-time Black Holes in the literature.…”

Section: Introductionmentioning

confidence: 96%

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

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 96%

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

View full text Add to dashboard Cite

show abstract

“…The appropriate framework is then Ehrenfest's equations and these were investigated for charged, non-rotating black holes in [76]- [78].…”

Section: Asymptotically Anti-de Sitter Black Holesmentioning

confidence: 99%

Black holes and Boyle's law — The thermodynamics of the cosmological constant

Dolan

2015

Mod. Phys. Lett. A

View full text Add to dashboard Cite

When the cosmological constant, Λ, is interpreted as a thermodynamic variable in the study of black hole thermodynamics a very rich structure emerges. It is natural to interpret Λ as a pressure and define the thermodynamically conjugate variable to be the thermodynamic volume of the black hole (which need not bear any relation to the geometric volume). Recent progress in this new direction for black hole thermodynamics is reviewed.

show abstract

“…Kastor et al [27] showed that, by interpreting the cosmological constant as a pressure and its thermodynamically conjugate variable as a volume, one can get a complete form of the first law. Especially, since Kubizňák et al [33] studied P − V criticality of charged AdS black holes, much attention has been focused on the topic of applying Ehrenfest scheme to black holes very recently [34][35][36][37][38]. Different expressions of Ehrenfest equations have been found in above works.…”

Section: Jhep11(2014)037mentioning

confidence: 99%

“…We notice that, besides the analogy expressions of Ehrenfest equations in [22], the authors in ref. [34] introduced the original expressions of Ehrenfest equations directly into the RN-AdS black hole. It should be pointed that there are three pairs of intensive/extensive variables, i.e., temperature/entropy (T, S), pressure/volume (P, V ) and electric potential/charge (Φ, Q) in the RN-AdS black hole [33].…”

Section: Jhep11(2014)037mentioning

confidence: 99%

Ehrenfest scheme for complex thermodynamic systems in full phase space

Zhao

Jing

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

For a thermodynamic system with multiple pairs of intensive/extensive variables and the thermodynamical coefficients attain finite or infinite values on the phase boundary, we obtain the two classes of Ehrenfest equations in the full phase space, and find that the rank of the matrix for these equations can tell us the dimensions of the phase boundary. We also apply this treatment to the RN-AdS black hole.

show abstract

Ehrenfest scheme for P-V criticality in the extended phase space of black holes

Cited by 95 publications

References 25 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

Black holes and Boyle's law — The thermodynamics of the cosmological constant

Ehrenfest scheme for complex thermodynamic systems in full phase space

Contact Info

Product

Resources

About