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Shear-bulk coupling in nonconformal hydrodynamics

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arxiv 1407.4767 v2 pith:UETXW7VV submitted 2014-07-17 hep-ph nucl-th

classification hep-phnucl-th
keywords hydrodynamicssecond-orderanisotropicevolutionpressureshear-bulkviscousbulk
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We compute the temporal evolution of the pressure anisotropy and bulk pressure of a massive gas using second-order viscous hydrodynamics and anisotropic hydrodynamics. We then compare our results with an exact solution of the Boltzmann equation for a massive gas in the relaxation time approximation. We demonstrate that, within second-order viscous hydrodynamics, the inclusion of the full set of kinetic coefficients, particularly the shear-bulk couplings, is necessary to properly describe the time evolution of the bulk pressure. We also compare the results of second-order hydrodynamics with those obtained using the anisotropic hydrodynamics approach. We find that anisotropic hydrodynamics and second-order viscous hydrodynamics including the shear-bulk couplings are both able to reproduce the exact evolution with comparable accuracy.

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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. Diffusion of multiple conserved charges from entropy production

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Derives diffusion matrix elements for baryon, charge, and strangeness transport in relativistic hydrodynamics from entropy production within the relaxation-time approximation.

  2. Quasiparticle second-order dissipative hydrodynamics at finite chemical potential

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A quasiparticle kinetic theory with a bag term yields second-order equations of relativistic dissipative hydrodynamics with baryon diffusion and chemical-potential-dependent transport coefficients.

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