Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy

Details Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy

2009-06-26

arxiv.org/abs/0906.4787v2

Class.Quant.Grav.27:025006,2010

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figures; v2: matches published version

Scientific paper

10.1088/0264-9381/27/2/025006

Fluid dynamics corresponds to the dynamics of a substance in the long wavelength limit. Writing down all terms in a gradient (long wavelength) expansion up to second order for a relativistic system at vanishing charge density, one obtains the most general (causal) equations of motion for a fluid in the presence of shear and bulk viscosity, as well as the structure of the non-equilibrium entropy current. Requiring positivity of the divergence of the non-equilibrium entropy current relates some of its coefficients to those entering the equations of motion. I comment on possible applications of these results for conformal and non-conformal fluids.

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