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Universality Classes of Relativistic Fluid Dynamics: Foundations

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arxiv 2302.03478 v2 pith:SIWP5S52 submitted 2023-02-04 nucl-th gr-qchep-th

classification nucl-thgr-qchep-th
keywords classesrelativisticuniversalitybehaviordynamicsnear-equilibriumsystemsallows
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A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relativistic systems. The latter are found to display some new type of universal behavior near equilibrium that allows them to be grouped into universality classes defined by their degrees of freedom, information content, and conservation laws. The universality classes expose a number of surprising equivalences between different theories, shedding new light on the near-equilibrium behavior of relativistic systems.

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Cited by 5 Pith papers

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

  1. The Lorentzian geometry of relaxation

    nucl-th 2026-07 accept novelty 8.0 of 10

    Causality forces purely relaxational dispersion relations to follow spacelike trajectories on the Lorentzian {iω,ik} plane, producing universal bounds on diffusivity, viscosity, time-dilation deviations, and hydrodyna...

  2. 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.

  3. Relativistic transport near moving interfaces

    nucl-th 2026-07 accept novelty 7.0 of 10

    Interface-localized linear solutions in relativistic media are superpositions of imaginary-frequency modes selected by intersecting the spectrum with the line iω = v ik.

  4. The diffusion equation is compatible with special relativity

    gr-qc 2026-01 conditional novelty 6.0 of 10

    A relativistic kinetic theory (Vlasov–Fokker–Planck) has an exact subsector whose particle density evolves by Fick's law at all wavelengths, reconciling diffusion with causality and stability.

  5. 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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