Built on

D. Lovelock, The Einstein tensor and its generalizations , J.Math.Phys. 12
1971
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, Phase transition in a lattice model of superconductivity , Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
M. A. Anisimov, E. E. Gorodetskiĭ and V. M. Zaprudskiĭ, Phase transitions with coupled order parameters , Soviet Physics Uspekhi 24
Original
1981
Earlier work this paper cites.
S. Hawking and D. Page, Thermodynamics of Black Holes in Anti-de Sitter Space , Commun.Math.Phys. 87
1983
Earlier work this paper cites.
B. Zwiebach, Curvature Squared Terms and String Theories , Phys. Lett. B156
1985
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy , Phys. Rev. D50
1994
Earlier work this paper cites.
J. Creighton and R. B. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields , Phys.Rev. D52
1995
Earlier work this paper cites.
D. M. Ceperley, Path integrals in the theory of condensed helium , Rev. Mod. Phys. 67
1995
Earlier work this paper cites.
R. B. Mann, Topological black holes: Outside looking in , Annals Israel Phys.Soc. 13
1997
Earlier work this paper cites.
A. J. Leggett, Superfluidity , Rev. Mod. Phys. 71
1999
Earlier work this paper cites.

Similar

M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories , Class.Quant.Grav. 17
2000
Cited alongside, same era.
P. B. Weichman, A. W. Harter and D. L. Goodstein, Criticality and superfluidity in liquid He 4 {}^{4}\mathrm{He} under nonequilibrium conditions , Rev. Mod. Phys. 73
2001
Cited alongside, same era.
CRC Press, 2002
T. Guenault, Basic Superfluids · 2002
Cited alongside, same era.
Z.-W. Chong, M. Cvetic, H. Lu and C. Pope, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity , Phys.Rev.Lett. 95
2005
Cited alongside, same era.
S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Building a Holographic Superconductor , Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.

Then

N. Altamirano, D. Kubiznak and R. B. Mann, Reentrant Phase Transitions in Rotating AdS Black Holes , Phys.Rev. D88
Original
2013
Later among the works it cites.
N. Altamirano, D. Kubiznak, R. B. Mann and Z. Sherkatghanad, Kerr-AdS analogue of triple point and solid/liquid/gas phase transition , Class.Quant.Grav. 31
Original
2014
Later among the works it cites.
A. M. Frassino, D. Kubiznak, R. B. Mann and F. Simovic, Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics , JHEP 09
Original
2014
Later among the works it cites.
B. P. Dolan, A. Kostouki, D. Kubiznak and R. B. Mann, Isolated critical point from Lovelock gravity , Class. Quant. Grav. 31
Original
2014
Later among the works it cites.
G. Giribet, M. Leoni, J. Oliva and S. Ray, Hairy black holes sourced by a conformally coupled scalar field in D dimensions , Phys. Rev. D89

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2016

Superfluid Black Holes

Hennigar, Robie A., Mann, Robert B., Tjoa, Erickson

Understand

We present what we believe is the first example of a "$\lambda$-line" phase transition in black hole thermodynamics.

This is a line of (continuous) second order phase transitions which in the case of liquid $^4$He marks the onset of superfluidity.
The phase transition occurs for a class of asymptotically AdS hairy black holes in Lovelock gravity where a real scalar field is conformally coupled to gravity.
We discuss the origin of this phase transition and outline the circumstances under which it (or generalizations of it) could occur.

Built on

D. Lovelock, The Einstein tensor and its generalizations , J.Math.Phys. 12
1971
Earlier work this paper cites.
C. Dasgupta and B. I. Halperin, Phase transition in a lattice model of superconductivity , Phys. Rev. Lett. 47
1981
Earlier work this paper cites.
M. A. Anisimov, E. E. Gorodetskiĭ and V. M. Zaprudskiĭ, Phase transitions with coupled order parameters , Soviet Physics Uspekhi 24
Original
1981
Earlier work this paper cites.
S. Hawking and D. Page, Thermodynamics of Black Holes in Anti-de Sitter Space , Commun.Math.Phys. 87
1983
Earlier work this paper cites.
B. Zwiebach, Curvature Squared Terms and String Theories , Phys. Lett. B156
1985
Earlier work this paper cites.
V. Iyer and R. M. Wald, Some properties of Noether charge and a proposal for dynamical black hole entropy , Phys. Rev. D50
1994
Earlier work this paper cites.
J. Creighton and R. B. Mann, Quasilocal thermodynamics of dilaton gravity coupled to gauge fields , Phys.Rev. D52
1995
Earlier work this paper cites.
D. M. Ceperley, Path integrals in the theory of condensed helium , Rev. Mod. Phys. 67
1995
Earlier work this paper cites.
R. B. Mann, Topological black holes: Outside looking in , Annals Israel Phys.Soc. 13
1997
Earlier work this paper cites.
A. J. Leggett, Superfluidity , Rev. Mod. Phys. 71
1999
Earlier work this paper cites.

Similar

M. Caldarelli, G. Cognola and D. Klemm, Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories , Class.Quant.Grav. 17
2000
Cited alongside, same era.
P. B. Weichman, A. W. Harter and D. L. Goodstein, Criticality and superfluidity in liquid He 4 {}^{4}\mathrm{He} under nonequilibrium conditions , Rev. Mod. Phys. 73
2001
Cited alongside, same era.
CRC Press, 2002
T. Guenault, Basic Superfluids · 2002
Cited alongside, same era.
Z.-W. Chong, M. Cvetic, H. Lu and C. Pope, General non-extremal rotating black holes in minimal five-dimensional gauged supergravity , Phys.Rev.Lett. 95
2005
Cited alongside, same era.
S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, Building a Holographic Superconductor , Phys. Rev. Lett. 101
Original
2008
Cited alongside, same era.

Then

N. Altamirano, D. Kubiznak and R. B. Mann, Reentrant Phase Transitions in Rotating AdS Black Holes , Phys.Rev. D88
Original
2013
Later among the works it cites.
N. Altamirano, D. Kubiznak, R. B. Mann and Z. Sherkatghanad, Kerr-AdS analogue of triple point and solid/liquid/gas phase transition , Class.Quant.Grav. 31
Original
2014
Later among the works it cites.
A. M. Frassino, D. Kubiznak, R. B. Mann and F. Simovic, Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics , JHEP 09
Original
2014
Later among the works it cites.
B. P. Dolan, A. Kostouki, D. Kubiznak and R. B. Mann, Isolated critical point from Lovelock gravity , Class. Quant. Grav. 31
Original
2014
Later among the works it cites.
G. Giribet, M. Leoni, J. Oliva and S. Ray, Hairy black holes sourced by a conformally coupled scalar field in D dimensions , Phys. Rev. D89

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

D. Kastor, S. Ray and J. Traschen, Enthalpy and the Mechanics of AdS Black Holes , Class.Quant.Grav. 26

Original

2009

Cited alongside, same era.

M. Cvetic, G. Gibbons, D. Kubiznak and C. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume , Phys.Rev. D84

Original

2011

Cited alongside, same era.

Academic Press, Boston, third edition ed., 2011

R. Pathria and P. D. Beale, Phase transitions: Criticality, universality, and scaling , in Statistical Mechanics (Third Edition) , pp. 401 – 469 · 2011

Cited alongside, same era.

D. Kubiznak and R. B. Mann, P-V criticality of charged AdS black holes , JHEP 1207

Original

2012

Cited alongside, same era.

J. Oliva and S. Ray, Conformal couplings of a scalar field to higher curvature terms , Class. Quant. Grav. 29

Original

2012

Cited alongside, same era.

D. Kubiznak, R. B. Mann and M. Teo, Black hole chemistry: thermodynamics with Lambda , 1608.06147

Original

Cited in the paper.