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On the hydrodynamic description of holographic viscoelastic models

2020/01/31 by Martin Ammon, Matteo Baggioli, Seán Gray +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Gravitation #Holography #Massive gravity #Mechanics #Optics #Physics #Quantum Electrodynamics and Casimir Effect #Quasinormal mode #Statistical physics #Theoretical physics #Thermodynamics #Viscoelasticity #cond-mat.soft #cond-mat.str-el #hep-th

paper · pdf · doi:10.1016/j.physletb.2020.135691

published as Physics Letters B Volume 808, 10 September 2020, 135691 · minor improvements, references added, matches the published version in Physics Letters B

arxiv created 2020/08/06 · openalex publication_date 2020/08/11 · arxiv updated 2020/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations