On the hydrodynamic description of holographic viscoelastic models

We show that the correct dual hydrodynamic description of homogeneous holographic models with spontaneously broken translations must include the so-called “strain pressure” – a novel transport coefficient proposed recently. Taking this new ingredient into account, we investigate the near-equilibrium...

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Main Authors: Martin Ammon, Matteo Baggioli, Seán Gray, Sebastian Grieninger, Akash Jain
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320304949
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spelling doaj-fa5a8b4eeed14cba844611654e43048a2020-11-25T03:41:17ZengElsevierPhysics Letters B0370-26932020-09-01808135691On the hydrodynamic description of holographic viscoelastic modelsMartin Ammon0Matteo Baggioli1Seán Gray2Sebastian Grieninger3Akash Jain4Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, GermanyInstituto de Fisica Teorica UAM/CSIC, c/Nicolas Cabrera 13-15, Universidad Autonoma de Madrid, Cantoblanco, 28049 Madrid, SpainTheoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany; Corresponding author.Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743 Jena, Germany; Department of Physics, University of Washington, Seattle, WA 98195-1560, USADepartment of Physics & Astronomy, University of Victoria, PO Box 1700 STN CSC, Victoria, BC, V8W 2Y2, CanadaWe show that the correct dual hydrodynamic description of homogeneous holographic models with spontaneously broken translations must include the so-called “strain pressure” – a novel transport coefficient proposed recently. Taking this new ingredient into account, we investigate the near-equilibrium dynamics of a large class of holographic models and faithfully reproduce all the hydrodynamic modes present in the quasinormal mode spectrum. Moreover, while strain pressure is characteristic of equilibrium configurations which do not minimise the free energy, we argue and show that it also affects models with no background strain, through its temperature derivatives. In summary, we provide a first complete matching between the holographic models with spontaneously broken translations and their effective hydrodynamic description.http://www.sciencedirect.com/science/article/pii/S0370269320304949
collection DOAJ
language English
format Article
sources DOAJ
author Martin Ammon
Matteo Baggioli
Seán Gray
Sebastian Grieninger
Akash Jain
spellingShingle Martin Ammon
Matteo Baggioli
Seán Gray
Sebastian Grieninger
Akash Jain
On the hydrodynamic description of holographic viscoelastic models
Physics Letters B
author_facet Martin Ammon
Matteo Baggioli
Seán Gray
Sebastian Grieninger
Akash Jain
author_sort Martin Ammon
title On the hydrodynamic description of holographic viscoelastic models
title_short On the hydrodynamic description of holographic viscoelastic models
title_full On the hydrodynamic description of holographic viscoelastic models
title_fullStr On the hydrodynamic description of holographic viscoelastic models
title_full_unstemmed On the hydrodynamic description of holographic viscoelastic models
title_sort on the hydrodynamic description of holographic viscoelastic models
publisher Elsevier
series Physics Letters B
issn 0370-2693
publishDate 2020-09-01
description We show that the correct dual hydrodynamic description of homogeneous holographic models with spontaneously broken translations must include the so-called “strain pressure” – a novel transport coefficient proposed recently. Taking this new ingredient into account, we investigate the near-equilibrium dynamics of a large class of holographic models and faithfully reproduce all the hydrodynamic modes present in the quasinormal mode spectrum. Moreover, while strain pressure is characteristic of equilibrium configurations which do not minimise the free energy, we argue and show that it also affects models with no background strain, through its temperature derivatives. In summary, we provide a first complete matching between the holographic models with spontaneously broken translations and their effective hydrodynamic description.
url http://www.sciencedirect.com/science/article/pii/S0370269320304949
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