Crossing a large-N phase transition at finite volume
Crossing a large-N phase transition at finite volume
The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are either metastable or suffer from a spinodal instability. In this range the stable states are inhomogeneous, phase-separated states. We use holography to investigate how this picture is modified at finite volume in a strongly coupled, four-dimensional gauge theory. We work in the planar limit, N → ∞, which ensures that we remain in the thermodynamic limit. We uncover a rich set of inhomogeneous states dual to lumpy black branes on the gravity side, as well as first- and second-order phase transitions between them. We establish their local (in)stability properties and show that fully non-linear time evolution in the bulk takes unstable states to stable ones.
AdS-CFT Correspondence, Black Holes, Gauge-gravity correspondence
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Mateos, David
0ec6624b-27d9-426f-bbbd-0de2ca2ff898
Zilhao, Miguel
4fe0b614-5619-4600-9a08-ab95454b7d47
Bea, Yago
ea314c2d-bcd5-49cd-bc0f-445cedb90e3a
28 February 2021
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Mateos, David
0ec6624b-27d9-426f-bbbd-0de2ca2ff898
Zilhao, Miguel
4fe0b614-5619-4600-9a08-ab95454b7d47
Bea, Yago
ea314c2d-bcd5-49cd-bc0f-445cedb90e3a
Campos Dias, Oscar, Santos, Jorge E., Mateos, David, Zilhao, Miguel and Bea, Yago
(2021)
Crossing a large-N phase transition at finite volume.
Journal of High Energy Physics, 2021 (061), [61].
(doi:10.1007/JHEP02(2021)061).
Abstract
The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are either metastable or suffer from a spinodal instability. In this range the stable states are inhomogeneous, phase-separated states. We use holography to investigate how this picture is modified at finite volume in a strongly coupled, four-dimensional gauge theory. We work in the planar limit, N → ∞, which ensures that we remain in the thermodynamic limit. We uncover a rich set of inhomogeneous states dual to lumpy black branes on the gravity side, as well as first- and second-order phase transitions between them. We establish their local (in)stability properties and show that fully non-linear time evolution in the bulk takes unstable states to stable ones.
Text
spinodal_v2
- Accepted Manuscript
Text
Bea2021_Article_CrossingALarge-NPhaseTransitio
- Version of Record
More information
Accepted/In Press date: 22 December 2020
Published date: 28 February 2021
Additional Information:
Publisher Copyright:
© 2021, The Author(s).
Keywords:
AdS-CFT Correspondence, Black Holes, Gauge-gravity correspondence
Identifiers
Local EPrints ID: 449423
URI: http://eprints.soton.ac.uk/id/eprint/449423
ISSN: 1029-8479
PURE UUID: 8c921331-96e3-4e0a-811c-39d69a2ca3bb
Catalogue record
Date deposited: 28 May 2021 16:31
Last modified: 17 Mar 2024 03:35
Export record
Altmetrics
Contributors
Author:
Jorge E. Santos
Author:
David Mateos
Author:
Miguel Zilhao
Author:
Yago Bea
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
