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...
Main Authors: | , , , , , , |
---|---|
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 |
_version_ | 1818665125217828864 |
---|---|
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. |
first_indexed | 2024-12-17T05:43:40Z |
format | Article |
id | doaj.art-4d7b5c4c2a0b478090fd2de5ab8ee183 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-17T05:43:40Z |
publishDate | 2021-02-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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 |
work_keys_str_mv | AT yagobea crossingalargenphasetransitionatfinitevolume AT oscarjcdias crossingalargenphasetransitionatfinitevolume AT thanasisgiannakopoulos crossingalargenphasetransitionatfinitevolume AT davidmateos crossingalargenphasetransitionatfinitevolume AT mikelsanchezgaritaonandia crossingalargenphasetransitionatfinitevolume AT jorgeesantos crossingalargenphasetransitionatfinitevolume AT miguelzilhao crossingalargenphasetransitionatfinitevolume |