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Relativistic Liquids: GENERIC or EIT?

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arxiv 2209.12865 v2 pith:C5KFWOGK submitted 2022-09-26 gr-qc astro-ph.HEphysics.flu-dyn

Lorenzo Gavassino , Marco Antonelli This is my paper · ORCID
classification gr-qcastro-ph.HEphysics.flu-dyn
keywords genericrelativisticequationsfieldisrael-stewartlinearliquidstheory
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We study the GENERIC hydrodynamic theory for relativistic liquids formulated by Ottinger and collaborators. We use the maximum entropy principle to derive its conditions for linear stability (in an arbitrary reference frame) and for relativistic causality. In addition, we show that, in the linear regime, its field equations can be recast into a symmetric-hyperbolic form. Once rewritten in this way, the linearised field equations turn out to be a particular realization of the Israel-Stewart theory, where some of the Israel-Stewart free parameters are constrained. This also allows us to reinterpret the GENERIC framework in view of the principles of Extended Irreversible Thermodynamics (EIT) and to discuss its physical relevance to model (possibly viscoelastic) fluids.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. How Lorentz boosts reshape relaxation spectra

    gr-qc 2026-01 accept novelty 8.0 of 10

    Under an Onsager-type symmetry, boosted k=0 non-hydrodynamic relaxation rates of a relativistic fluid are bounded by a(1-v)/γ ≤ iω' ≤ b/[γ(1-v)] in terms of rest-frame bounds a,b and boost speed v.

  2. Causality constraints on radiative transfer

    nucl-th 2025-02 conditional novelty 8.0 of 10

    Including the finite travel time of photons fixes the acausal instability of Spiegel's radiative transfer formula and yields exact, hydrohedron-compatible transport coefficients.

  3. Noncovariant parabolic theories of relativistic diffusion

    gr-qc 2025-05 accept novelty 6.0 of 10

    A quantitative analysis shows that observer-dependent effects in a new relativistic diffusion theory scale like the square root of time, slower than standard truncation errors, yet remain finite as speeds approach light.

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