Shear-bulk coupling in nonconformal hydrodynamics
arXiv:1407.4767 · doi:10.1103/PhysRevC.90.044905
Abstract
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.
23 pages, 8 figures; v2 - published version which includes some typo corrections and additional references
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- Relativistic quantum transport coefficients for second-order viscous hydrodynamics
- Extracting the bulk viscosity of the quark-gluon plasma
- Quasiparticle second-order viscous hydrodynamics from kinetic theory
- Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids
- Bulk viscous corrections to screening and damping in QCD at high temperatures
- Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases
- Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma