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Higher harmonics of anisotropic flow ($v_n$ with $n\ge 4$) 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…

Nuclear Theory · Physics 2015-04-10 Li Yan , Jean-Yves Ollitrault

Higher Fourier harmonics of anisotropic flow ($v_4$ and beyond) get large contributions induced by elliptic and triangular flow through nonlinear response. We present a general framework of nonlinear hydrodynamic response which encompasses…

Nuclear Theory · Physics 2018-05-16 Giuliano Giacalone , Li Yan , Jean-Yves Ollitrault

By employing the Monte Carlo HYDJET++ model (HYDrodynamics plus JETs), we produce anisotropic harmonic flow coefficients $v_n$ ($n = 4$-$7$) in deformed Xe-Xe collisions at $\sqrt{s_{NN}} = 5.44~\mathrm{TeV}$. These harmonics are measured…

High Energy Physics - Phenomenology · Physics 2025-05-08 Saraswati Pandey , B. K. Singh

The time evolution of the medium created in heavy ion collisions can be described by hydrodynamical models. After expansion and cooling, the hadrons are created in a freeze-out. Their distribution describes the final state of this medium.…

Nuclear Theory · Physics 2014-11-25 Mate Csanad , Andras Szabo

In this work, we study the charged hadron anisotropic flow coefficients $v_n$ (up to $n = 12$) using high-statistics event-by-event simulations of Pb+Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$ and $5.36$~TeV, employing the IP-Glasma +…

Nuclear Theory · Physics 2025-09-23 Owen Horecny , Chun Shen

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…

Nuclear Theory · Physics 2014-02-17 Derek Teaney , Li Yan

The analysis of anisotropic flow of particles created in high energy heavy-ion collisions gives insight into the early stage of these reactions. Measurements of directed flow (v1), elliptic flow (v2) and flow of 4th and 6th order (v4 and…

Nuclear Experiment · Physics 2019-08-14 Markus D. Oldenburg

Anisotropic flow coefficients, $v_n$, non-linear flow mode coefficients, $\chi_{n,mk}$, and correlations among different symmetry planes, $\rho_{n,mk}$ are measured in Pb-Pb collisions at $\sqrt{s_\rm{NN}}=5.02$ TeV. Results obtained with…

Nuclear Experiment · Physics 2020-06-16 ALICE Collaboration

The second and the third order anisotropic flow, $V_{2}$ and $V_3$, are determined by the corresponding initial spatial anisotropy coefficients, $\varepsilon_{2}$ and $\varepsilon_{3}$, in the initial density distribution. On the contrary,…

Nuclear Experiment · Physics 2018-01-03 You Zhou

The effects of event-by-event fluctuations in the initial geometry of the colliding nuclei are important in the analysis of final flow observables in relativistic heavy-ion collisions. We use hydrodynamic simulations to study the amplitude…

Nuclear Theory · Physics 2016-09-14 Jing Qian , Ulrich Heinz

The higher order harmonic flow observables $v_n$ ($n > 3$) and their non-linear responses to the initial state anisotropy have the strong potential to constrain shear and bulk viscosity to entropy ratios because of different sensitivities…

Nuclear Experiment · Physics 2021-02-03 Jasper Parkkila

In the last years it has been revealed that if measuring relative to higher order event planes $\Psi_n$, higher order flow coefficients $v_n$ for $n>2$ can be measured. It also turned out that Bose-Einstein (HBT) correlation radii also show…

High Energy Physics - Phenomenology · Physics 2017-03-02 M. Csanad , A. Szabo , S. Lokos , A. Bagoly

Anisotropic flow coefficients beyond triangular flow receive important contributions from lower-order harmonics through nonlinear coupling. We present a theoretical framework which allows one to quantify the contribution induced by such…

Nuclear Theory · Physics 2019-02-20 Giuliano Giacalone

Anisotropies in the initial energy density distribution of the quark-gluon plasma created in high energy heavy ion collisions lead to anisotropies in the azimuthal distributions of the final-state particles known as collective flow. Fourier…

High Energy Physics - Experiment · Physics 2020-07-03 CMS Collaboration

We investigate the nonlinear response of flow harmonics $v_2,v_4$ to initial-state eccentricities $\epsilon_2,\epsilon_4$ within the Gubser-flow framework. By extending the perturbative solutions of Gubser flow, we derive analytic nonlinear…

Nuclear Theory · Physics 2026-04-14 Xiang Ren , Jin-Yu Hu , Hao-jie Xu , Shi Pu

A series of new flow observables mixed harmonic multi-particle cumulants (MHC), which allow for the first time to quantify the correlations strength between different order of flow coefficients with various moments, was investigated using…

Nuclear Theory · Physics 2021-08-11 Ming Li , You Zhou , Wenbin Zhao , Baochi Fu , Yawen Mou , Huichao Song

We present event-by-event viscous hydrodynamic calculations of the anisotropic flow coefficients v_2 to v_5 for heavy-ion collisions at the Relativistic Heavy-Ion Collider (RHIC). We study the dependence of different flow harmonics on shear…

High Energy Physics - Phenomenology · Physics 2013-05-30 Bjoern Schenke , Sangyong Jeon , Charles Gale

We investigate how the initial geometry of a heavy-ion collision is transformed into final flow observables by solving event-by-event ideal hydrodynamics with realistic fluctuating initial conditions. We study quantitatively to what extent…

Nuclear Theory · Physics 2012-03-06 Fernando G. Gardim , Frederique Grassi , Matthew Luzum , Jean-Yves Ollitrault

In the context of event-by-event hydrodynamic description, we analyze the implications of two models characterized by distinct initial conditions. The initial energy density of the first model adopts a Gaussian-type distribution, while…

Nuclear Theory · Physics 2020-04-02 Dan Wen , Kai Lin , Wei-Liang Qian , Bin Wang , Yogiro Hama , Takeshi Kodama

We report on the measurement of various flow harmonics, $v_n$, with multi-particle cumulants, and present the results from a study of the inter-correlation among different order symmetry planes $\Psi_n$ via multi-particle mixed harmonic…

Nuclear Experiment · Physics 2015-06-11 Ante Bilandzic
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