Analytical solutions of causal relativistic hydrodynamic equations for Bjorken and Gubser flows
arXiv:1807.05544 · doi:10.1016/j.nuclphysa.2018.12.012
Abstract
We obtain general analytical solutions of third-order viscous hydrodynamic equations for Bjorken and Gubser flows in systems with vanishing bulk viscosity and chemical potential, and having a constant shear relaxation time. We also analytically characterize and determine the hydrodynamic attractors for such systems by studying the universal behavior of these solutions at both early and late times. Finally we study the properties of these hydrodynamic attractors for transport coefficients obtained from relativistic kinetic theory in the relaxation-time approximation.
arXiv comment4 pages, 2 figures
References in corpus (6)
- Symmetry constraints on generalizations of Bjorken flow
- Relativistic third-order dissipative fluid dynamics from kinetic theory
- Transport coefficients for bulk viscous evolution in the relaxation time approximation
- Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
- On higher order and anisotropic hydrodynamics for Bjorken and Gubser flows
- Exact analytical solutions of second-order conformal hydrodynamics