Crossing a large-N phase transition at finite volume

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 instab...

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Main Authors: Yago Bea, Oscar J. C. Dias, Thanasis Giannakopoulos, David Mateos, Mikel Sanchez-Garitaonandia, Jorge E. Santos, Miguel Zilhão
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2021)061
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author Yago Bea
Oscar J. C. Dias
Thanasis Giannakopoulos
David Mateos
Mikel Sanchez-Garitaonandia
Jorge E. Santos
Miguel Zilhão
author_facet Yago Bea
Oscar J. C. Dias
Thanasis Giannakopoulos
David Mateos
Mikel Sanchez-Garitaonandia
Jorge E. Santos
Miguel Zilhão
author_sort Yago Bea
collection DOAJ
description 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.
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spelling doaj.art-4d7b5c4c2a0b478090fd2de5ab8ee1832022-12-21T22:01:22ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021217010.1007/JHEP02(2021)061Crossing a large-N phase transition at finite volumeYago Bea0Oscar J. C. Dias1Thanasis Giannakopoulos2David Mateos3Mikel Sanchez-Garitaonandia4Jorge E. Santos5Miguel Zilhão6School of Mathematical Sciences, Queen Mary University of LondonSTAG research centre and Mathematical Sciences, University of SouthamptonCentro de Astrofísica E Gravitação (CENTRA), Departamento de Física, Instituto Superior Técnico (IST), Universidade de LisboaDepartament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICC), Universitat de BarcelonaDepartament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICC), Universitat de BarcelonaDAMTP, Centre for Mathematical SciencesCentro de Astrofísica E Gravitação (CENTRA), Departamento de Física, Instituto Superior Técnico (IST), Universidade de LisboaAbstract 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.https://doi.org/10.1007/JHEP02(2021)061AdS-CFT CorrespondenceBlack HolesGauge-gravity correspondence
spellingShingle Yago Bea
Oscar J. C. Dias
Thanasis Giannakopoulos
David Mateos
Mikel Sanchez-Garitaonandia
Jorge E. Santos
Miguel Zilhão
Crossing a large-N phase transition at finite volume
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
title Crossing a large-N phase transition at finite volume
title_full Crossing a large-N phase transition at finite volume
title_fullStr Crossing a large-N phase transition at finite volume
title_full_unstemmed Crossing a large-N phase transition at finite volume
title_short Crossing a large-N phase transition at finite volume
title_sort crossing a large n phase transition at finite volume
topic AdS-CFT Correspondence
Black Holes
Gauge-gravity correspondence
url https://doi.org/10.1007/JHEP02(2021)061
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AT mikelsanchezgaritaonandia crossingalargenphasetransitionatfinitevolume
AT jorgeesantos crossingalargenphasetransitionatfinitevolume
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