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In this work, we investigate the shear elasticity and the shear viscosity in a simple holographic axion model with broken translational symmetry and rotational symmetry in space via the perturbation computation. We find that, in the case of…

High Energy Physics - Theory · Physics 2025-03-31 Lei Li , Wei-Jia Li , Xiao-Mei Kuang

We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be…

High Energy Physics - Theory · Physics 2018-07-04 Benjamin Withers

We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density.…

High Energy Physics - Theory · Physics 2020-01-08 Martin Ammon , Matteo Baggioli , Seán Gray , Sebastian Grieninger

We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS$_2\times\,$R$^2$. We find that at low temperatures by tuning the effective…

High Energy Physics - Theory · Physics 2022-01-28 Yan Liu , Xin-Meng Wu

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…

High Energy Physics - Theory · Physics 2020-12-29 Martin Ammon , Matteo Baggioli , Seán Gray , Sebastian Grieninger , Akash Jain

In this work we analyze the hydrodynamics of a $p-$ wave superfluid on its strongly coupled regime by considering its holographic description. We obtain the poles of the retarded Green function through the computation of the quasi-normal…

High Energy Physics - Theory · Physics 2015-06-22 Raul E. Arias , Ignacio Salazar Landea

We show that long-time, long-distance fluctuations of plane-symmetric horizons exhibit universal hydrodynamic behavior. By considering classical fluctuations around black-brane backgrounds, we find both diffusive and shear modes. The…

High Energy Physics - Theory · Physics 2011-05-05 Pavel Kovtun , Dam T. Son , Andrei O. Starinets

Univalent functions are complex, analytic (holomorphic) and injective functions that have been widely discussed in complex analysis. It was recently proposed that the stringent constraints that univalence imposes on the growth of functions…

High Energy Physics - Theory · Physics 2022-11-09 Matteo Baggioli , Sebastian Grieninger , Sašo Grozdanov , Zhenkang Lu

We revisit the magneto-hydrodynamics in (2+1) dimensions and confirm that it is consistent with the quasi-normal modes of the (3+1) dimensional dyonic black holes in the most general set-up with finite density, magnetic field and wave…

High Energy Physics - Theory · Physics 2024-07-01 Hyun-Sik Jeong , Keun-Young Kim , Ya-Wen Sun

We use holography to derive effective theories of fluctuations in spontaneously broken phases of systems with finite temperature, chemical potential, magnetic field and momentum relaxation in which the order parameters break translations.…

High Energy Physics - Theory · Physics 2021-06-16 Aristomenis Donos , Christiana Pantelidou , Vaios Ziogas

We construct multi-mode viscous hydrodynamics for one dimensional spinless electrons. Depending on the scale, the fluid has six (shortest lengths), four (intermediate, exponentially broad regime), or three (asymptotically long scales)…

Mesoscale and Nanoscale Physics · Physics 2021-06-24 I. V. Protopopov , R. Samanta , A. D. Mirlin , D. B. Gutman

We present a class of holographic massive gravity models that realize a spontaneous breaking of translational symmetry - they exhibit transverse phonon modes whose speed relates to the elastic shear modulus according to elasticity theory.…

High Energy Physics - Theory · Physics 2018-05-02 Lasma Alberte , Martin Ammon , Matteo Baggioli , Amadeo Jiménez-Alba , Oriol Pujolàs

In phases where translations are spontaneously broken, new gapless degrees of freedom appear in the low energy spectrum (the phonons). At long wavelengths, they couple to small fluctuations of the conserved densities of the system. This…

High Energy Physics - Theory · Physics 2020-01-08 Andrea Amoretti , Daniel Areán , Blaise Goutéraux , Daniele Musso

In the previous paper we studied the transport coefficients of Quark-Gluon Plasma in finite temperature and finite density in vector and tensor modes. In this paper, we extend it to the scalar modes. We work out the decoupling problem and…

High Energy Physics - Theory · Physics 2009-08-03 Yoshinori Matsuo , Sang-Jin Sin , Shingo Takeuchi , Takuya Tsukioka , Chul-Moon Yoo

Recently, it has been realized that liquids are able to support solid-like transverse modes with an interesting gap in momentum space developing in the dispersion relation. We show that this gap is also present in simple holographic…

High Energy Physics - Theory · Physics 2019-03-27 Matteo Baggioli , Kostya Trachenko

This study proposes and explores a linear hydrodynamic thermo-elasticity system within mixture models, comprising fluid and solid phases, with a focus on biological tissues, particularly tumor-related phenomena. Although tumor growth is not…

Analysis of PDEs · Mathematics 2025-02-11 Michael Eden , Meraj Alam , Prakash Kumar , G P Raja Sekhar

Rheological measurements of model colloidal gels reveal that large variations in the shear moduli as colloidal volume-fraction changes are not reflected by simple structural parameters such as the coordination number, which remains almost a…

Soft Condensed Matter · Physics 2018-08-07 D. Zeb Rocklin , Lilian C. Hsiao , Megan Szakasits , Michael J. Solomon , Xiaoming Mao

Modeling the dynamics of colloidal rods remains a central challenge in soft-matter physics due to the anisotropic and long-ranged nature of their interactions. Hydrodynamic interactions in rods suspensions are often assumed to be screened…

Soft Condensed Matter · Physics 2026-05-19 Lucas H. P. Cunha , Paul F. Salipante , Peter D. Olmsted , Steven D. Hudson

We employ hydrodynamics and gauge/gravity to study magneto-transport in phases of matter where translations are broken (pseudo-)spontaneously. First we provide a hydrodynamic description of systems where translations are broken…

High Energy Physics - Theory · Physics 2023-06-21 Andrea Amoretti , Daniel Arean , Daniel K. Brattan , Luca Martinoia

We continue our investigations on the relation between hydrodynamic and higher quasinormal modes in the AdS black hole background started in arXiv:0710.4458 [hep-th]. As is well known, the quasinormal modes can be interpreted as the poles…

High Energy Physics - Theory · Physics 2010-01-15 Irene Amado , Carlos Hoyos-Badajoz , Karl Landsteiner , Sergio Montero
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