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Restoring time-reversal covariance in relaxed hydrodynamics

In hydrodynamics, for generic relaxations, the stress tensor and \(U(1)\) charge current two-point functions are not time-reversal covariant. This remains true even if the Martin-Kadanoff procedure happens to yield Onsager reciprocal correlators. We consider linearised relativistic hydrodynamics on...

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Bibliographic Details
Published in:arXiv.org 2023-05
Main Authors: Amoretti, Andrea, Brattan, Daniel K, Martinoia, Luca, Matthaiakakis, Ioannis
Format: Article
Language:English
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Summary:In hydrodynamics, for generic relaxations, the stress tensor and \(U(1)\) charge current two-point functions are not time-reversal covariant. This remains true even if the Martin-Kadanoff procedure happens to yield Onsager reciprocal correlators. We consider linearised relativistic hydrodynamics on Minkowski space in the presence of energy, \(U(1)\) charge and momentum relaxation. We then show how one can find the minimal relaxed hydrodynamic framework that does yield two-point functions consistent with time-reversal covariance. We claim the same approach naturally applies to boost agnostic hydrodynamics and its limits (e.g. Carrollian, Galilean and Lifshitz fluids).
ISSN:2331-8422
DOI:10.48550/arxiv.2304.01248