Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions
Aleksi Kurkela🇨🇭 · Aleksas Mazeliauskas🇩🇪 · Jean-François Paquet🇺🇸 · Sören Schlichting🇺🇸 · Derek Teaney🇺🇸
We develop a macroscopic description of the space-time evolution of the energy-momentum tensor during the pre-equilibrium stage of a high-energy heavy-ion collision. Based on a weak coupling effective kinetic description of the microscopic equilibration process (à la "bottom-up"), we calculate the non-equilibrium evolution of the local background energy-momentum tensor as well as the non-equilibrium linear response to transverse energy and momentum perturbations for realistic boost-invariant initial conditions for heavy ion collisions. We demonstrate how this framework can be used on an event-by-event basis to propagate the energy momentum tensor from far-from-equilibrium initial state models, e.g. IP-Glasma, to the time when the system is well described by relativistic viscous hydrodynamics. The subsequent hydrodynamic evolution becomes essentially independent of the hydrodynamic initialization time as long as is chosen in an appropriate range where both kinetic and hydrodynamic descriptions overlap. We find that for central Pb-Pb collisions, the typical time scale when viscous hydrodynamics with shear viscosity over entropy ratio becomes applicable is after the collision.