Linear and cubic response to the initial eccentricity in heavy-ion collisions

Abstract

We study the relation between elliptic flow, $v_2$ and the initial eccentricity, ${\epsilon }_2$, in heavy-ion collisions, using hydrodynamic simulations. Significant deviations from linear eccentricity scaling are seen in more peripheral collisions. We identify the mechanism responsible for these deviations as a cubic response, which we argue is a generic property of the hydrodynamic response to the initial density profile. The cubic response increases elliptic flow fluctuations, thereby improving agreement of initial condition models with experimental data.

7 pages. v2: bugs corrected in Figs.1,2,4,5, text unchanged

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