Dynamics of phase separation from holography

We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We numerically solve Einstein's equations to follow the evolution, in which we identify four...

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Authors: Attems, Maximilian, Bea, Yago, Casalderrey Solana, Jorge, Mateos, David (Mateos Solé), Zilhão, Miguel
Format: article
Status:Published version
Publication Date:2020
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/149442
Online Access:https://hdl.handle.net/2445/149442
Access Level:Open access
Keyword:Holografia
Camps de galga (Física)
Holography
Gauge fields (Physics)
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spelling Dynamics of phase separation from holographyAttems, MaximilianBea, YagoCasalderrey Solana, JorgeMateos, David (Mateos Solé)Zilhão, MiguelHolografiaCamps de galga (Física)HolographyGauge fields (Physics)We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We numerically solve Einstein's equations to follow the evolution, in which we identify four generic stages: a first, linear stage in which the instability grows exponentially; a second, non-linear stage in which peaks and/or phase domains are formed; a third stage in which these structures merge; and a fourth stage in which the system finally relaxes to a static, phase-separated configuration. On the gravity side the latter is described by a static, stable, inhomogeneous horizon. We conjecture and provide evidence that all static, non-phase separated configurations in large enough boxes are dynamically unstable. We show that all four stages are well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a Müller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description for two reasons. First, it misses some large, purely-spatial gradient corrections. Second, several second-order transport coefficients in this formulation, including the relaxation times τπ and τΠ, diverge at the points where the speed of sound vanishes.Springer Verlag2020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/149442Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: https://doi.org/10.1007/JHEP01(2020)106Journal of High Energy Physics, 2020, num. 106https://doi.org/10.1007/JHEP01(2020)106info:eu-repo/grantAgreement/EC/H2020/730897info:eu-repo/grantAgreement/EC/H2020/658574cc-by (c) Attems, Maximilian et al., 2020http://creativecommons.org/licenses/by/3.0/esinfo:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1494422026-05-27T06:46:51Z
dc.title.none.fl_str_mv Dynamics of phase separation from holography
title Dynamics of phase separation from holography
spellingShingle Dynamics of phase separation from holography
Attems, Maximilian
Holografia
Camps de galga (Física)
Holography
Gauge fields (Physics)
title_short Dynamics of phase separation from holography
title_full Dynamics of phase separation from holography
title_fullStr Dynamics of phase separation from holography
title_full_unstemmed Dynamics of phase separation from holography
title_sort Dynamics of phase separation from holography
dc.creator.none.fl_str_mv Attems, Maximilian
Bea, Yago
Casalderrey Solana, Jorge
Mateos, David (Mateos Solé)
Zilhão, Miguel
author Attems, Maximilian
author_facet Attems, Maximilian
Bea, Yago
Casalderrey Solana, Jorge
Mateos, David (Mateos Solé)
Zilhão, Miguel
author_role author
author2 Bea, Yago
Casalderrey Solana, Jorge
Mateos, David (Mateos Solé)
Zilhão, Miguel
author2_role author
author
author
author
dc.subject.none.fl_str_mv Holografia
Camps de galga (Física)
Holography
Gauge fields (Physics)
topic Holografia
Camps de galga (Física)
Holography
Gauge fields (Physics)
description We use holography to develop a physical picture of the real-time evolution of the spinodal instability of a four-dimensional, strongly-coupled gauge theory with a first-order, thermal phase transition. We numerically solve Einstein's equations to follow the evolution, in which we identify four generic stages: a first, linear stage in which the instability grows exponentially; a second, non-linear stage in which peaks and/or phase domains are formed; a third stage in which these structures merge; and a fourth stage in which the system finally relaxes to a static, phase-separated configuration. On the gravity side the latter is described by a static, stable, inhomogeneous horizon. We conjecture and provide evidence that all static, non-phase separated configurations in large enough boxes are dynamically unstable. We show that all four stages are well described by the constitutive relations of second-order hydrodynamics that include all second-order gradients that are purely spatial in the local rest frame. In contrast, a Müller-Israel-Stewart-type formulation of hydrodynamics fails to provide a good description for two reasons. First, it misses some large, purely-spatial gradient corrections. Second, several second-order transport coefficients in this formulation, including the relaxation times τπ and τΠ, diverge at the points where the speed of sound vanishes.
publishDate 2020
dc.date.none.fl_str_mv 2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/149442
url https://hdl.handle.net/2445/149442
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: https://doi.org/10.1007/JHEP01(2020)106
Journal of High Energy Physics, 2020, num. 106
https://doi.org/10.1007/JHEP01(2020)106
info:eu-repo/grantAgreement/EC/H2020/730897
info:eu-repo/grantAgreement/EC/H2020/658574
dc.rights.none.fl_str_mv cc-by (c) Attems, Maximilian et al., 2020
http://creativecommons.org/licenses/by/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by (c) Attems, Maximilian et al., 2020
http://creativecommons.org/licenses/by/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412551556595712
score 15.300719

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