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arXiv · 2304.01248

Restoring time-reversal covariance in relaxed hydrodynamics

Andrea Amoretti·Daniel K. Brattan·Luca Martinoia·Ioannis Matthaiakakis
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Abstract

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).

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Andrea Amoretti, Daniel K. Brattan, Luca Martinoia, Ioannis Matthaiakakis. 2023-04-03. Restoring time-reversal covariance in relaxed hydrodynamics. https://doi.org/10.1103/physrevd.108.056003

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