Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
High Energy Physics - Theory
2010-01-22 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
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.
Cite
@article{arxiv.0906.4787,
title = {Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy},
author = {Paul Romatschke},
journal= {arXiv preprint arXiv:0906.4787},
year = {2010}
}
Comments
25 pages, no figures; v2: matches published version