The onset of fluid-dynamical behavior in relativistic kinetic theory
arXiv:1704.04976 · doi:10.1016/j.nuclphysa.2017.05.041
Abstract
In this proceedings we discuss recent findings regarding the large order behavior of the Chapman-Enskog expansion in relativistic kinetic theory. It is shown that this series in powers of the Knudsen number has zero radius of convergence in the case of a Bjorken expanding fluid described by the Boltzmann equation in the relaxation time approximation. This divergence stems from the presence of non-hydrodynamic modes, which give non-perturbative contributions to the Knudsen series.
4 pages, 1 figure, proceedings for Quark Matter 2017
References in corpus (6)
- A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
- Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
- Nonlinear dynamics from the relativistic Boltzmann equation in the Friedmann-Lemaître-Robertson-Walker spacetime
- How large is the Knudsen number reached in fluid dynamical simulations of ultrarelativistic heavy ion collisions?
- Divergence of the Chapman-Enskog expansion in relativistic kinetic theory
- Origins of collectivity in small systems