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Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles

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arxiv 2311.00351 v2 pith:Q42Q6YUT submitted 2023-11-01 nucl-th hep-phphysics.flu-dyn

classification nucl-thhep-phphysics.flu-dyn
keywords dynamicsfluiddissipativesecond-orderanisotropicapproximationcoefficientsideal
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In this paper, we study all transport coefficients of second-order dissipative fluid dynamics derived by V. E. Ambrus et al. [Phys. Rev. D 106, 076005 (2022)] from the relativistic Boltzmann equation in the relaxation-time approximation for the collision integral. These transport coefficients are computed for a classical ideal gas of massive particles, with and without taking into account the conservation of intrinsic quantum numbers. Through rigorous comparison between kinetic theory, second-order dissipative fluid dynamics, and leading-order anisotropic fluid dynamics for a (0+1)--dimensional boost-invariant flow scenario, we show that both fluid-dynamical theories describe the early far-from-equilibrium stage of the expansion reasonably well.

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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. Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics

    nucl-th 2025-04 conditional novelty 7.0 of 10

    Exact hard-sphere moments of the nonlinear collision integral for anisotropic distributions show the relaxation-time approximation relaxes roughly twice as fast as true binary collisions, and a two-moment closure reso...

  2. Relaxation for massive particles: transport and causality

    hep-th 2025-06 conditional novelty 6.0 of 10

    The paper derives closed-form mass-dependent transport coefficients for massive RTA gases and proposes that the discontinuity across the correlator cut defines an effective lightcone velocity.

  3. Relativistic dissipative hydrodynamics for particles of arbitrary mass

    nucl-th 2025-05 conditional novelty 6.0 of 10

    For a classical gas with constant cross-sections, all first- and second-order dissipative transport coefficients are computed for arbitrary mass, and the non-relativistic limit reproduces Grad's equations.

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