$v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data

Li Yan; Jean-Yves Ollitrault

doi:10.1016/j.physletb.2015.03.040

paper

$v_{4}$ , $v_{5}$ , $v_{6}$ , $v_{7}$ : nonlinear hydrodynamic response versus LHC data

arXiv:1502.02502 · doi:10.1016/j.physletb.2015.03.040

Abstract

Higher harmonics of anisotropic flow ( $v_{n}$ with $n \geq 4$ ) in heavy-ion collisions can be measured either with respect to their own plane, or with respect to a plane constructed using lower-order harmonics. We explain how such measurements are related to event-plane correlations. We show that CMS data on $v_{4}$ and $v_{6}$ are compatible with ATLAS data on event-plane correlations. If one assumes that higher harmonics are the superposition of non-linear and linear responses, then the linear and non-linear parts can be isolated under fairly general assumptions. By combining analyses of higher harmonics with analyses of $v_{2}$ and $v_{3}$ , one can eliminate the uncertainty from initial conditions and define quantities that only involve nonlinear hydrodynamic response coefficients. Experimental data on $v_{4}$ , $v_{5}$ and $v_{6}$ are in good agreement with hydrodynamic calculations. We argue that $v_{7}$ can be measured with respect to elliptic and triangular flow. We present predictions for $v_{7}$ versus centrality in Pb-Pb collisions at the LHC.

7 pages and 3 figures

$v_{4}$ , $v_{5}$ , $v_{6}$ , $v_{7}$ : nonlinear hydrodynamic response versus LHC data

Abstract

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v4​, v5​, v6​, v7​: nonlinear hydrodynamic response versus LHC data

Abstract

References in corpus (13)

Cited by in corpus (7)

$v_{4}$ , $v_{5}$ , $v_{6}$ , $v_{7}$ : nonlinear hydrodynamic response versus LHC data