Speaker
Description
Relativistic viscous hydrodynamics consists of a set of complicated nonlinear differential equations. Nevertheless, it is possible to find simple relations between particular aspects of the initial conditions and final observables in hydrodynamic simulations of relativistic heavy ion collisions. The canonical example is the event-by-event proportionality between elliptic flow and initial eccentricity. These relations provide a powerful tool for understanding the behavior of the collision system, separating properties of the initial stages and of the QGP medium, and directly accessing such properties from experimental data.
However, these relations have only been developed in a 2-dimensional context, relating initial and final quantities that have been averaged over rapidity. In this talk I will discus extending to rapidity dependent relations -- how to define rapidity-dependent eccentricities and related quantities, to what extent rapidity-dependent flow can be estimated from these eccentricities, and how to extend to non-local relations. These relations will be useful for analyzing various rapidity-dependent correlation observables and using them to determine properties of the collision system, in a similar way to what was done in the rapidity-independent case.