Establishing the Range of Applicability of Hydrodynamics in High-Energy Collisions

Abstract

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description in the conformal relaxation time approximation, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that hydrodynamics provides a quantitatively accurate description of collective flow when the average inverse Reynolds number is sufficiently small and the early pre-equilibrium stage is properly accounted for. We further discuss the implications of our findings for the (in)applicability of hydrodynamics in proton-proton, proton-nucleus and light nucleus collisions.Comment: 9 pages, 4 figures v2: Several minor changes to spelling, notation, affiliations, acknowledgements, references. Moved Supplemental Material to end of document. Equivalent to version published in PR