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From kinetic theory to dissipative fluid dynamics

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arxiv 0812.1440 v1 pith:TVHUXSOC submitted 2008-12-08 nucl-th

B. Betz , D. Henkel , D.H. Rischke This is my paper · ORCID
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keywords dissipativedynamicsequationsfluidkinetictheoryabsentconsistently
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We present the results of deriving the Israel-Stewart equations of relativistic dissipative fluid dynamics from kinetic theory via Grad's 14-moment expansion. Working consistently to second order in the Knudsen number, these equations contain several new terms which are absent in previous treatments.

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Cited by 4 Pith papers

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

  1. Nonlinear Causality and Strong Hyperbolicity of Einstein-Israel-Stewart Theories of Transient Relativistic Fluid Dynamics

    nucl-th 2026-07 accept novelty 8.0 of 10

    Necessary and sufficient algebraic inequalities fully characterize nonlinear causality of general Israel-Stewart bulk-plus-shear theories, with sufficient conditions for strong hyperbolicity and constraint propagation...

  2. Gaussian generally covariant hydrodynamics

    hep-th 2025-04 conditional novelty 6.0 of 10

    A Gaussian stochastic partition function constrained by gravitational Ward identities yields a proposed generally covariant fluctuating hydrodynamics in which flow is an approximate Killing vector.

  3. Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion

    nucl-th 2025-09 unverdicted novelty 5.0 of 10

    VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.

  4. Constraint on initial conditions of one-dimensional expanding fluids from nonlinear causality

    nucl-th 2024-12 conditional novelty 5.0 of 10

    Nonlinear causality constrains one-dimensional Bjorken-expanding viscous fluids to small inverse Reynolds numbers, giving minimum initial times of about 0.5 to 1 fm and maximum initial energy densities of about 5 to 3...

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