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arXiv · 2307.07021

Emergent symmetries of relativistic fluid dynamics from local ergodicity

Giorgio Torrieri
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Abstract

We show that volume-preserving diffomorphisms and the chemical shift symmetry defining relativistic lagrangian ideal fluid dynamics can be derived as an emerging symmetry when ergodicity is assumed to apply locally in a way that is invariant under smooth spacetime foliations. This can be used as a way to derive the ideal hydrodynamic limit in a strongly coupled but strongly fluctuating medium. We comment on the connection with thermalization in small systems, the Eigenstate thermalization hypothesis and deviations from the ideal limit.

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Giorgio Torrieri. 2023-07-13. Emergent symmetries of relativistic fluid dynamics from local ergodicity. https://arxiv.org/abs/2307.07021

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