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Third-order relativistic dissipative fluid dynamics from the method of moments

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arxiv 2302.09097 v1 pith:JBIPBGXZ submitted 2023-02-17 nucl-th physics.flu-dyn

classification nucl-thphysics.flu-dyn
keywords boltzmannequationmethodmomentsrelativisticsolutionstheorythird-order
verification ladder T0 review T1 audit T2 compute T3 formal
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We derive a linearly causal and stable third-order relativistic fluid-dynamical theory from the Boltzmann equation using the method of moments. For this purpose, we demonstrate that such theory must include novel degrees of freedom, corresponding to irreducible tensors of rank 3 and 4. The equations of motion derived in this work are compared with numerical solutions of the Boltzmann equation, considering an ultrarelativistic, classical gas in the highly symmetric Bjorken flow scenario. These solutions are shown to be in good agreement for a wide range of values of shear viscosity and initial temperatures.

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Cited by 2 Pith papers

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

  1. Attractor of hydrodynamic attractors

    nucl-th 2025-09 conditional novelty 6.0 of 10

    Second- and higher-order hydrodynamic attractors converge to the same universal curve before the Navier-Stokes limit, with the leading correction controlled only by second-order coefficients.

  2. Thermal dilepton production within conformal viscous Gubser flow

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Thermal dilepton yields and effective temperatures are computed for conformal viscous Gubser flow, showing larger yields for lower q (larger systems) and higher effective temperatures for smaller systems.

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