Breakdown of hydrodynamics from holographic pole collision

Abstract We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS2 × R2. We find that at low temperatures by tuning the effective gauge coupling constant in the infra-red, the lowest non-hydr...

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Main Authors: Yan Liu, Xin-Meng Wu
Format: Article
Language:English
Published: SpringerOpen 2022-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2022)155
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author Yan Liu
Xin-Meng Wu
author_facet Yan Liu
Xin-Meng Wu
author_sort Yan Liu
collection DOAJ
description Abstract We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS2 × R2. We find that at low temperatures by tuning the effective gauge coupling constant in the infra-red, the lowest non-hydrodynamic mode, which collides with the charge diffusive mode and sets the scales at which diffusive hydrodynamics breaks down, could be either an infra-red mode or a slow mode, resulting in different scaling behaviors of the local equilibrium scales. We confirm that the upper bound for the charge diffusion constant is always satisfied using the velocity and timescale of local equilibration from the pole collision. We also examine the breakdown of hydrodynamics at general temperature and find that the convergence radius has nontrivial dependence on temperature, in addition to the effective gauge coupling constant.
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spelling doaj.art-bbbf0003888f4f67ace34473ac5356fb2022-12-21T19:49:12ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022113310.1007/JHEP01(2022)155Breakdown of hydrodynamics from holographic pole collisionYan Liu0Xin-Meng Wu1Center for Gravitational Physics, Department of Space Science and International Research Institute of Multidisciplinary Science, Beihang UniversityCenter for Gravitational Physics, Department of Space Science and International Research Institute of Multidisciplinary Science, Beihang UniversityAbstract We study the breakdown of diffusive hydrodynamics in holographic systems dual to neutral dilatonic black holes with extremal near horizon geometries conformal to AdS2 × R2. We find that at low temperatures by tuning the effective gauge coupling constant in the infra-red, the lowest non-hydrodynamic mode, which collides with the charge diffusive mode and sets the scales at which diffusive hydrodynamics breaks down, could be either an infra-red mode or a slow mode, resulting in different scaling behaviors of the local equilibrium scales. We confirm that the upper bound for the charge diffusion constant is always satisfied using the velocity and timescale of local equilibration from the pole collision. We also examine the breakdown of hydrodynamics at general temperature and find that the convergence radius has nontrivial dependence on temperature, in addition to the effective gauge coupling constant.https://doi.org/10.1007/JHEP01(2022)155Holography and Condensed Matter Physics (AdS/CMT)AdS-CFT Correspondence
spellingShingle Yan Liu
Xin-Meng Wu
Breakdown of hydrodynamics from holographic pole collision
Journal of High Energy Physics
Holography and Condensed Matter Physics (AdS/CMT)
AdS-CFT Correspondence
title Breakdown of hydrodynamics from holographic pole collision
title_full Breakdown of hydrodynamics from holographic pole collision
title_fullStr Breakdown of hydrodynamics from holographic pole collision
title_full_unstemmed Breakdown of hydrodynamics from holographic pole collision
title_short Breakdown of hydrodynamics from holographic pole collision
title_sort breakdown of hydrodynamics from holographic pole collision
topic Holography and Condensed Matter Physics (AdS/CMT)
AdS-CFT Correspondence
url https://doi.org/10.1007/JHEP01(2022)155
work_keys_str_mv AT yanliu breakdownofhydrodynamicsfromholographicpolecollision
AT xinmengwu breakdownofhydrodynamicsfromholographicpolecollision