Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation

Abstract

We compute the transport coefficients that appear in the fluid-dynamical equations for the bulk viscous pressure and shear-stress tensor using the 14-moment approximation in the limit of small, but finite, masses. In this limit, we are able to express all these coefficients in terms of known thermodynamic quantities, such as the thermodynamic pressure, energy density, and the velocity of sound. We explicitly demonstrate that the ratio of bulk viscosity to bulk relaxation time behaves very differently, as a function of temperature, than the ratio of shear viscosity to shear relaxation time. We further explicitly compute, for the first time, the transport coefficients that couple the bulk viscous pressure to the shear-stress tensor and vice versa. The coefficient that couples bulk viscous pressure to shear-stress tensor is found to be orders of magnitude larger than the bulk viscosity itself, suggesting that bulk viscous pressure production owes more to this coupling than to the expansion rate of the system.

12 pages, 2 figures

References in corpus (14)

• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory
• Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Stability and Causality in relativistic dissipative hydrodynamics
• Hadron spectra and elliptic flow for 200 A GeV Au+Au collisions from viscous hydrodynamics coupled to a Boltzmann cascade
• Origins of Bulk Viscosity at RHIC
• Instability of Boost-invariant hydrodynamics with a QCD inspired bulk viscosity
• Coupling Relativistic Viscous Hydrodynamics to Boltzmann Descriptions
• The Bulk Viscosity of a Pion Gas
• Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics

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