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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Autores: Attems, Maximilian, Bea, Yago, Casalderrey Solana, Jorge, Mateos, David (Mateos Solé), Zilhão, Miguel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/149442
Acceso en línea:https://hdl.handle.net/2445/149442
Access Level:acceso abierto
Palabra clave: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 Verlag2020202020202020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/149442Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció 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:recercat.cat:2445/1494422026-05-29T05:05:01Z
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
2020
2020
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:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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