PSEUDORAPIDITY DEPENDENT HYDRODYNAMIC RESPONSE IN HEAVY-ION COLLISIONS

Pseudorapidity dependent hydrodynamic response in heavy-ion collisions

Pseudorapidity dependent hydrodynamic response in heavy-ion collisions

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We propose a differential hydrodynamic response relation, V2(ζ)=∫dξG(ζ−ξ)E2(ξ), to describe the formation of a pseudorapidity dependent elliptic flow in heavy-ion collisions, in response to a fluctuating three-dimensional initial density profile.By analyzing the medium expansion using event-by-event cga 200 to cga 510 adapter simulations of 3+1D MUSIC, with initial conditions generated via the AMPT model, the differential response relation is verified.Given the response relation, we are able to separate the two-point correlation of elliptic flow in pseudorapidity into fluid response and two-point correlation of initial eccentricity.The fluid response contains information of the speed of sound and shear viscosity of the medium.From the pseudorapidity dependent response relation, a finite radius of convergence of the hydrodynamic gradient expansion is obtained with respect bovi-shield gold fp 5 l5 to realistic fluids in heavy-ion collisions.

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