Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics
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We determine the non-linear hydrodynamic response to geometrical fluctuations in heavy ion collisions using ideal and viscous hydrodynamics. This response is characterized with a set of non-linear response coefficients that determine, for example, the $v_5$ that is produced by an $\epsilon_2$ and an $\epsilon_3$. We analyze how viscosity damps both the linear and non-linear response coefficients, and provide an analytical estimate that qualitatively explains most of the trends observed in more complete simulations. Subsequently, we use these nonlinear response coefficients to determine the linear and non-linear contributions to $v_1$, $v_4$ and $v_5$. For viscous hydrodynamics the nonlinear contribution is dominant for $v_4$, $v_5$ and higher harmonics. For $v_1$, the nonlinear response constitutes an important $\sim 25%$ correction in mid-central collisions. The nonlinear response is also analyzed as a function of transverse momentum for $v_1$, $v_4$ and $v_5$. Finally, recent measurements of correlations between event-planes of different harmonic orders are discussed in the context of non-linear response.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/678e3c991dd9735e0ffd62d471f7818129c8f899
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In Nuclear and High Energy Physics
Citations in the corpus
- Small System Collectivity in Relativistic Hadronic and Nuclear Collisions (2018, background): “that only arise from the nonlinear mode mixing terms in hydrodynamics (46) are qualitatively described, leading Heinz & Snellings (25) to refer to this as an experimentum crucis in support of the hydrodynamic paradigm.”
- Heavy ions and string theory (2013, background): “ns account for the rms magnitudes p hv2 ni[26,27, 28,29], the uctuations in vn (i.e. P(vn)) [30,31,32], and the angular correlations between the harmonics of dierent orders (i.e. hcos(5#TAB#5 2#TAB#2 3#TAB#3)i) [33,34,35,36]. Further, the harmonic ows depend on transverse momentum, the centrality of”
- Collective flow and hydrodynamics in large and small systems at the LHC (2017, result): “On the other hand, it was predicted that NSCðm; nÞ involving v4 and v5 increases with g=s in the same way as the symmetry plane correlations [190, 191], which qualitatively agrees with the results in Fig.”