Built on

S. W. Wei, Y. X. Liu and R. B. Mann, Repulsive Interactions and Universal Properties of Charged Anti de Sitter Black Hole Microstructures
Original
1906
Earlier work this paper cites.
S. W. Wei, Y. X. Liu and R. B. Mann, Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
Original
1909
Earlier work this paper cites.
S. W. Hawking and D. N. Page, Thermodynamics of Black Holes in anti-De Sitter Space
1983
Earlier work this paper cites.
J. D. E. Creighton and R. B. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields
1995
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
1998
Earlier work this paper cites.
M. M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
2000
Earlier work this paper cites.
A. Ashtekar and S. Das, Asymptotically Anti-de Sitter space-times: Conserved quantities
2000
Earlier work this paper cites.
S. Das and R. Mann, Conserved quantities in Kerr-anti-de Sitter space-times in various dimensions
2000
Earlier work this paper cites.
D. Kastor, S. Ray, and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes
Original
2009
Earlier work this paper cites.
M. Cvetic, G. W. Gibbons, D. Kubiznak, and C. N. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
Original
2011
Earlier work this paper cites.

Similar

B. P. Dolan, The cosmological constant and the black hole equation of state
Original
2011
Cited alongside, same era.
D. Kubiznak and R. B. Mann, P-V criticality of charged AdS black holes
Original
2012
Cited alongside, same era.
S. Gunasekaran, R. B. Mann and D. Kubiznak, Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
2012
Cited alongside, same era.
N. Altamirano, D. Kubiznak, and R. B. Mann, Reentrant phase transitions in rotating anti–de Sitter black holes
Original
2013
Cited alongside, same era.
B. P. Dolan, A. Kostouki, D. Kubiznak, and R. B. Mann, Isolated critical point from Lovelock gravity
Original

Then

R. A. Hennigar, R. B. Mann, and E. Tjoa, Superfluid Black Holes
Original
2017
Later among the works it cites.
D. Kubiznak, R. B. Mann, and M. Teo, Black hole chemistry: thermodynamics with Lambda
Original
2017
Later among the works it cites.
A. González García , H.H. Wensink , H.N.W. Lekkerkerker , and R. Tuinier , Sci. Rep. 7
2017
Later among the works it cites.
N. Abbasvandi, W. Cong, D. Kubiznak and R. B. Mann, Snapping swallowtails in accelerating black hole thermodynamics
Original
2019
Later among the works it cites.
A. Anabalón, F. Gray, R. Gregory, D. Kubizňák and R. B. Mann, Thermodynamics of Charged, Rotating, and Accelerating Black Holes
Original
2019

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2022

Multi-critical Points in Black Hole Phase Transitions

Tavakoli, Masoumeh, Wu, Jerry, Mann, Robert B.

Understand

We present the first examples in black hole thermodynamics of multicritical phase transitions, in which more than three distinct black hole phases merge at a critical point.

Working in the context of non-linear electrodynamics, we explicitly present examples of black hole quadruple and quintuple points, and demonstrate how $n$-tuple critical points can be obtained.
Our results indicate that black holes can have multiple phases beyond the three types observed so far, resembling the behaviour of multicomponent chemical systems.
We discuss the interpretation of our results in the context of the Gibbs Phase Rule.

Built on

S. W. Wei, Y. X. Liu and R. B. Mann, Repulsive Interactions and Universal Properties of Charged Anti de Sitter Black Hole Microstructures
Original
1906
Earlier work this paper cites.
S. W. Wei, Y. X. Liu and R. B. Mann, Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
Original
1909
Earlier work this paper cites.
S. W. Hawking and D. N. Page, Thermodynamics of Black Holes in anti-De Sitter Space
1983
Earlier work this paper cites.
J. D. E. Creighton and R. B. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields
1995
Earlier work this paper cites.
E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
1998
Earlier work this paper cites.
M. M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
2000
Earlier work this paper cites.
A. Ashtekar and S. Das, Asymptotically Anti-de Sitter space-times: Conserved quantities
2000
Earlier work this paper cites.
S. Das and R. Mann, Conserved quantities in Kerr-anti-de Sitter space-times in various dimensions
2000
Earlier work this paper cites.
D. Kastor, S. Ray, and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes
Original
2009
Earlier work this paper cites.
M. Cvetic, G. W. Gibbons, D. Kubiznak, and C. N. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
Original
2011
Earlier work this paper cites.

Similar

B. P. Dolan, The cosmological constant and the black hole equation of state
Original
2011
Cited alongside, same era.
D. Kubiznak and R. B. Mann, P-V criticality of charged AdS black holes
Original
2012
Cited alongside, same era.
S. Gunasekaran, R. B. Mann and D. Kubiznak, Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
2012
Cited alongside, same era.
N. Altamirano, D. Kubiznak, and R. B. Mann, Reentrant phase transitions in rotating anti–de Sitter black holes
Original
2013
Cited alongside, same era.
B. P. Dolan, A. Kostouki, D. Kubiznak, and R. B. Mann, Isolated critical point from Lovelock gravity
Original

Then

R. A. Hennigar, R. B. Mann, and E. Tjoa, Superfluid Black Holes
Original
2017
Later among the works it cites.
D. Kubiznak, R. B. Mann, and M. Teo, Black hole chemistry: thermodynamics with Lambda
Original
2017
Later among the works it cites.
A. González García , H.H. Wensink , H.N.W. Lekkerkerker , and R. Tuinier , Sci. Rep. 7
2017
Later among the works it cites.
N. Abbasvandi, W. Cong, D. Kubiznak and R. B. Mann, Snapping swallowtails in accelerating black hole thermodynamics
Original
2019
Later among the works it cites.
A. Anabalón, F. Gray, R. Gregory, D. Kubizňák and R. B. Mann, Thermodynamics of Charged, Rotating, and Accelerating Black Holes
Original
2019

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2014

Cited alongside, same era.

N. Altamirano, D. Kubizňák, R. B. Mann, and Z. Sherkatghanad, Kerr-AdS analogue of triple point and solid/liquid/gas phase transition

Original

2014

Cited alongside, same era.

S. W. Wei and Y. X. Liu, Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space

Original

2014

Cited alongside, same era.

A. M. Frassino, D. Kubiznak, R. B. Mann and F. Simovic, Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics

2014

Cited alongside, same era.

D. Kubiznak and R. B. Mann, Black hole chemistry

2015

Cited alongside, same era.

K. Akahane , J Russo , and H. Tanaka , Nat. Commun. 7

2016

Cited alongside, same era.

S. W. Wei and Y. X. Liu, The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point

Original

Cited in the paper.

W. Sun & M. J. Powell-Palm, Generalized Gibbs Phase Rule

Original

Cited in the paper.