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Related papers: Nonlinear coupling of flow harmonics: Hexagonal fl…

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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

Higher order harmonic flow $v_n$ (with $n\ge4$) 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. By assuming that higher flow harmonics are…

Nuclear Theory · Physics 2016-11-18 Li Yan , Subrata Pal , Jean-Yves Ollitrault

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

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

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 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

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

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

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

Valuable information on the dynamics of expanding fluids can be inferred from the response of such systems to perturbations in their initial geometry. We apply this technique in high-energy $^{96}$Ru+$^{96}$Ru and $^{96}$Zr+$^{96}$Zr…

Nuclear Theory · Physics 2023-06-27 Jiangyong Jia , Giuliano Giacalone , Chunjian Zhang

Flow harmonics ($\textit{v}_{n}$) of the Fourier expansion for the azimuthal distributions of hadrons are commonly employed to quantify the azimuthal anisotropy of particle production relative to the collision symmetry planes. While lower…

Nuclear Experiment · Physics 2020-12-18 STAR Collaboration , J. Adam , L. Adamczyk , J. R. Adams , J. K. Adkins , G. Agakishiev , M. M. Aggarwal , Z. Ahammed , I. Alekseev , D. M. Anderson , A. Aparin , E. C. Aschenauer , M. U. Ashraf , F. G. Atetalla , A. Attri , G. S. Averichev , V. Bairathi , K. Barish , A. Behera , R. Bellwied , A. Bhasin , J. Bielcik , J. Bielcikova , L. C. Bland , I. G. Bordyuzhin , J. D. Brandenburg , A. V. Brandin , J. Butterworth , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , I. Chakaberia , P. Chaloupka , B. K. Chan , F-H. Chang , Z. Chang , N. Chankova-Bunzarova , A. Chatterjee , D. Chen , J. H. Chen , X. Chen , Z. Chen , J. Cheng , M. Cherney , M. Chevalier , S. Choudhury , W. Christie , X. Chu , H. J. Crawford , M. Csanád , M. Daugherity , T. G. Dedovich , I. M. Deppner , A. A. Derevschikov , L. Didenko , X. Dong , J. L. Drachenberg , J. C. Dunlop , T. Edmonds , N. Elsey , J. Engelage , G. Eppley , R. Esha , S. Esumi , O. Evdokimov , A. Ewigleben , O. Eyser , R. Fatemi , S. Fazio , P. Federic , J. Fedorisin , C. J. Feng , Y. Feng , P. Filip , E. Finch , Y. Fisyak , A. Francisco , L. Fulek , C. A. Gagliardi , T. Galatyuk , F. Geurts , A. Gibson , K. Gopal , D. Grosnick , W. Guryn , A. I. Hamad , A. Hamed , S. Harabasz , J. W. Harris , S. He , W. He , X. H. He , S. Heppelmann , S. Heppelmann , N. Herrmann , E. Hoffman , L. Holub , Y. Hong , S. Horvat , Y. Hu , H. Z. Huang , S. L. Huang , T. Huang , X. Huang , T. J. Humanic , P. Huo , G. Igo , D. Isenhower , W. W. Jacobs , C. Jena , A. Jentsch , Y. JI , J. Jia , K. Jiang , S. Jowzaee , X. Ju , E. G. Judd , S. Kabana , M. L. Kabir , S. Kagamaster , D. Kalinkin , K. Kang , D. Kapukchyan , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , M. Kelsey , Y. V. Khyzhniak , D. P. Kikoła , C. Kim , B. Kimelman , D. Kincses , T. A. Kinghorn , I. Kisel , A. Kiselev , M. Kocan , L. Kochenda , L. K. Kosarzewski , L. Kramarik , P. Kravtsov , K. Krueger , N. Kulathunga Mudiyanselage , L. Kumar , R. Kunnawalkam Elayavalli , J. H. Kwasizur , R. Lacey , S. Lan , J. M. Landgraf , J. Lauret , A. Lebedev , R. Lednicky , J. H. Lee , Y. H. Leung , C. Li , W. Li , W. Li , X. Li , Y. Li , Y. Liang , R. Licenik , T. Lin , Y. Lin , M. A. Lisa , F. Liu , H. Liu , P. Liu , P. Liu , T. Liu , X. Liu , Y. Liu , Z. Liu , T. Ljubicic , W. J. Llope , R. S. Longacre , N. S. Lukow , S. Luo , X. Luo , G. L. Ma , L. Ma , R. Ma , Y. G. Ma , N. Magdy , R. Majka , D. Mallick , S. Margetis , C. Markert , H. S. Matis , J. A. Mazer , N. G. Minaev , S. Mioduszewski , B. Mohanty , M. M. Mondal , I. Mooney , Z. Moravcova , D. A. Morozov , M. Nagy , J. D. Nam , Md. Nasim , K. Nayak , D. Neff , J. M. Nelson , D. B. Nemes , M. Nie , G. Nigmatkulov , T. Niida , L. V. Nogach , T. Nonaka , A. S. Nunes , G. Odyniec , A. Ogawa , S. Oh , V. A. Okorokov , B. S. Page , R. Pak , A. Pandav , Y. Panebratsev , B. Pawlik , D. Pawlowska , H. Pei , C. Perkins , L. Pinsky , R. L. Pintér , J. Pluta , J. Porter , M. Posik , N. K. Pruthi , M. Przybycien , J. Putschke , H. Qiu , A. Quintero , S. K. Radhakrishnan , S. Ramachandran , R. L. Ray , R. Reed , H. G. Ritter , J. B. Roberts , O. V. Rogachevskiy , J. L. Romero , L. Ruan , J. Rusnak , N. R. Sahoo , H. Sako , S. Salur , J. Sandweiss , S. Sato , W. B. Schmidke , N. Schmitz , B. R. Schweid , F. Seck , J. Seger , M. Sergeeva , R. Seto , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , F. Shen , W. Q. Shen , S. S. Shi , Q. Y. Shou , E. P. Sichtermann , R. Sikora , M. Simko , J. Singh , S. Singha , N. Smirnov , W. Solyst , P. Sorensen , H. M. Spinka , B. Srivastava , T. D. S. Stanislaus , M. Stefaniak , D. J. Stewart , M. Strikhanov , B. Stringfellow , A. A. P. Suaide , M. Sumbera , B. Summa , X. M. Sun , X. Sun , Y. Sun , Y. Sun , B. Surrow , D. N. Svirida , P. Szymanski , A. H. Tang , Z. Tang , A. Taranenko , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , M. Tokarev , C. A. Tomkiel , S. Trentalange , R. E. Tribble , P. Tribedy , S. K. Tripathy , O. D. Tsai , Z. Tu , T. Ullrich , D. G. Underwood , I. Upsal , G. Van Buren , J. Vanek , A. N. Vasiliev , I. Vassiliev , F. Videbæk , S. Vokal , S. A. Voloshin , F. Wang , G. Wang , J. S. Wang , P. Wang , Y. Wang , Y. Wang , Z. Wang , J. C. Webb , P. C. Weidenkaff , L. Wen , G. D. Westfall , H. Wieman , S. W. Wissink , R. Witt , Y. Wu , Z. G. Xiao , G. Xie , W. Xie , H. Xu , N. Xu , Q. H. Xu , Y. F. Xu , Y. Xu , Z. Xu , Z. Xu , C. Yang , Q. Yang , S. Yang , Y. Yang , Z. Yang , Z. Ye , Z. Ye , L. Yi , K. Yip , H. Zbroszczyk , W. Zha , C. Zhang , D. Zhang , S. Zhang , S. Zhang , X. P. Zhang , Y. Zhang , Y. Zhang , Z. J. Zhang , Z. Zhang , Z. Zhang , J. Zhao , C. Zhong , C. Zhou , X. Zhu , Z. Zhu , M. Zurek , M. Zyzak

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 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

We report on the first measurement of the triangular $v_3$, quadrangular $v_4$, and pentagonal $v_5$ charged particle flow in Pb-Pb collisions at 2.76 TeV measured with the ALICE detector at the CERN Large Hadron Collider. We show that the…

Nuclear Experiment · Physics 2017-09-29 ALICE Collaboration

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 present measurements of the elliptic ($\mathrm{v}_2$), triangular ($\mathrm{v}_3$) and quadrangular ($\mathrm{v}_4$) anisotropic azimuthal flow over a wide range of pseudorapidities ($-3.5< \eta < 5$). The measurements are performed with…

Nuclear Experiment · Physics 2016-11-08 ALICE Collaboration

The correlations between event-by-event fluctuations of anisotropic flow harmonic amplitudes have been measured in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV with the ALICE detector at the Large Hadron Collider. The results are…

Nuclear Experiment · Physics 2019-02-05 ALICE Collaboration

Partial contributions of elliptic v_2 and triangular v_3 flows to the hexagonal v_6 flow are studied within the HYDJET++ model for Pb+Pb collisions at sqrt{s}=2.76 TeV. Scaling of the ratio v_6^{1/6}{Psi_2} / v_2^{1/2}{Psi_2} in the…

Nonlinear response coefficients of higher-order anisotropy harmonics for charged particles are measured in PbPb collisions at 2.76 and 5.02 TeV as a function of transverse momentum and collision centrality. The nonlinear response…

Nuclear Experiment · Physics 2017-09-01 Jovan Milosevic

The principal component analysis of flow correlations in heavy-ion collisions is studied. The correlation matrix of harmonic flow is generalized to correlations involving several different flow vectors. The method can be applied to study…

Nuclear Theory · Physics 2018-03-14 Piotr Bozek
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