Abstract
By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the kinetic equation, and, on the other hand, coincide with the hierarchy of equations of viscous hydrodynamics, to arbitrary order in the viscous corrections. This correspondence sheds light on the underlying mechanism responsible for the apparent success of hydrodynamics in regimes that are far from local equilibrium.
Highlights
The observation that the evolution of the quark-gluon plasma produced in ultra-relativistic heavy ion collisions is well described by viscous hydrodynamic equations raises a number of interesting questions that are very much debated presently [1]
By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the kinetic equation, and, on the other hand, coincide with the hierarchy of equations of viscous hydrodynamics, to arbitrary order in the viscous corrections
Traditional understanding of hydrodynamics would imply that the system has reached local equilibrium, and the small viscosity extracted from the analysis of the data is suggestive of short mean free paths
Summary
To cite this version: Jean-Paul Blaizot, Li Yan. Fluid dynamics of out of equilibrium boost invariant plasmas. 2018. cea-01685181. By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the kinetic equation, and, on the other hand, coincide with the hierarchy of equations of viscous hydrodynamics, to arbitrary order in the viscous corrections. This correspondence sheds light on the underlying mechanism responsible for the apparent success of hydrodynamics in regimes that are far from local equilibrium
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