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The presence of large event-by-event flow fluctuations in heavy ion collisions at RHIC and the LHC provides an opportunity to study a broad class of flow observables. This paper explores the correlations among harmonic flow coefficients…

Nuclear Experiment · Physics 2014-09-12 Peng Huo , Jiangyong Jia , Soumya Mohapatra

The measurements of flow harmonics $v_2$-$v_6$ using the event plane and two particle correlations methods in broad $p_T$, $\eta$ and centrality ranges using the ATLAS detector at LHC are presented. ATLAS recorded about 9 $\mu…

Nuclear Experiment · Physics 2019-08-14 Soumya Mohapatra

In this study, we report the predictions for the flow observables for different centrality classes in $O+O$ collisions. Our predictions utilize two different approaches, hydrodynamic and transport models, to analyze the behavior of the flow…

Nuclear Theory · Physics 2025-07-23 Jagbir Singh , M. U. Ashraf , A. M. Khan , S. Kabana

Recent results of the anisotropic flow measurements by the ALICE Collaboration at the LHC are reviewed. Directed, elliptic, triangular, and quadrangular flow are presented differentially vs. transverse momentum, pseudo-rapidity, and the…

Nuclear Experiment · Physics 2019-08-13 Ilya Selyuzhenkov

Elliptic flow signals the presence of multiple interactions between the constituents of the created matter in heavy-ion collisions. This includes possible contributions from the different phases, including the hadronic phase. In these…

Nuclear Experiment · Physics 2017-04-05 Raimond Snellings

The flow harmonics $v_{2,3}$ for charged hadrons, are studied for a broad range of centrality selections and beam collision energies in Au+Au ($\sqrt{s_{NN}}= 7.7 - 200$ GeV) and Pb+Pb ($\sqrt{s_{NN}}= 2.76$ TeV) collisions. They validate…

Nuclear Experiment · Physics 2013-08-20 Roy A. Lacey , A. Taranenko , J. Jia , D. Reynolds , N. N. Ajitanand , J. M. Alexander , Yi Gu , A. Mwai

The azimuthal anisotropies of the collective transverse flow of charged hadrons are investigated in a wide range of heavy-ion collision energies within the microscopic parton-hadron-string dynamics (PHSD) transport approach which…

The methods currently used to measure collective flow in nucleus--nucleus collisions assume that the only azimuthal correlations between particles are those arising from their correlation with the reaction plane. However, quantum HBT…

Nuclear Theory · Physics 2009-10-31 Mai Dinh , Nicolas Borghini , Jean-Yves Ollitrault

Event-by-event correlations of azimuthal anisotropy Fourier coefficients ($v_n$) in 8.16 TeV pPb collision data, collected by the CMS experiment at the LHC, are extracted using a subevent four-particle cumulant technique. Each combination…

High Energy Physics - Experiment · Physics 2021-01-20 CMS Collaboration

The second and fourth Fourier harmonics of the azimuthal distribution of particles, $v_2$ and $v_4$, have been mesured in Au-Au collisions at the Relativistic Heavy Ion Collider (RHIC). The ratio $v_4/(v_2)^2$ is significantly larger than…

Nuclear Theory · Physics 2010-04-23 Clément Gombeaud , Jean-Yves Ollitrault

The Multi-Phase Transport model (AMPT) is used to study the effects of the parton-scattering cross-sections ($\sigma_{pp}$) and hadronic re-scattering on the linear contributions to the flow harmonic $\textit{v}_{4}$, the non-linear…

Nuclear Theory · Physics 2021-11-15 Niseem Magdy

We present the first measurements of charge-dependent directed flow in Cu+Au collisions at t $\sqrt{s_{NN}}$ = 200 GeV. The directed flow has been measured as functions of the transverse momentum and pseudorapidity with the STAR detector.…

Nuclear Experiment · Physics 2019-08-21 Takafumi Niida

The quantitative extraction of quark-gluon plasma (QGP) properties from heavy-ion data, such as its specific shear viscosity $\eta /s$, typically requires comparison to viscous hydrodynamic or "hybrid" hydrodynamics+transport simulations.…

Nuclear Theory · Physics 2017-11-01 Zack Wolff , Denes Molnar

The initial energy density distribution and fluctuation in the transverse direction lead to anisotropic flows of final hadrons through collective expansion in high-energy heavy-ion collisions. Fluctuations along the longitudinal direction,…

Nuclear Theory · Physics 2016-05-04 Long-Gang Pang , Hannah Petersen , Guang-You Qin , Victor Roy , Xin-Nian Wang

Elliptic flow ($v_2$) and hexadecupole flow ($v_4$) of light clusters have been studied in details for 25 MeV/nucleon $^{86}$Kr + $^{124}$Sn at large impact parameters by Quantum Molecular Dynamics model with different potential parameters.…

Nuclear Theory · Physics 2008-11-26 T. Z. Yan , Y. G. Ma , X. Z. Cai , D. Q. Fang , W. Guo , C. W. Ma , W. Q. Shen , W. D. Tian , K. Wang

We study multi-particle azimuthal correlations in Au+Au collisions at $\sqrt{s_{NN}}$ = 200 GeV. We use initial conditions obtained from a Monte-Carlo Glauber model and evolve them within a viscous relativistic hydrodynamics framework that…

Nuclear Theory · Physics 2026-02-10 Kaiser Shafi , Prabhupada Dixit , Sandeep Chatterjee , Md. Nasim

This contribution to the focus issue covers anisotropic flow in hybrid approaches. The historical development of hybrid approaches and their impact on the interpretation of flow measurements is reviewed. The major ingredients of a hybrid…

Nuclear Theory · Physics 2014-11-27 Hannah Petersen

The first measurements of anisotropic flow coefficients $v_{\rm{n}}$ for mid-rapidity charged particles in Xe-Xe collisions at $\sqrt{s_{\rm{NN}}} = 5.44$ TeV are presented. Comparing these measurements to those from Pb-Pb collisions at…

Nuclear Experiment · Physics 2019-01-21 ALICE Collaboration

We present high-precision measurements of elliptic, triangular, and quadrangular flow $v_{2}$, $v_{3}$, and $v_{4}$, respectively, at midrapidity ($|\eta|<1.0$) for identified hadrons $\pi$, $p$, $K$, $\varphi$, $K_s$, $\Lambda$ as a…

Nuclear Experiment · Physics 2022-03-15 STAR Collaboration , M. S. Abdallah , B. E. Aboona , J. Adam , L. Adamczyk , J. R. Adams , J. K. Adkins , G. Agakishiev , I. Aggarwal , M. M. Aggarwal , Z. Ahammed , A. Aitbaev , I. Alekseev , D. M. Anderson , A. Aparin , E. C. Aschenauer , M. U. Ashraf , F. G. Atetalla , G. S. Averichev , V. Bairathi , W. Baker , J. G. Ball Cap , K. Barish , A. Behera , R. Bellwied , P. Bhagat , A. Bhasin , J. Bielcik , J. Bielcikova , I. G. Bordyuzhin , J. D. Brandenburg , A. V. Brandin , X. Z. Cai , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , I. Chakaberia , P. Chaloupka , B. K. Chan , F-H. Chang , Z. Chang , A. Chatterjee , S. Chattopadhyay , D. Chen , J. Chen , J. H. Chen , X. Chen , Z. Chen , J. Cheng , S. Choudhury , W. Christie , X. Chu , H. J. Crawford , M. Csanád , M. Daugherity , T. G. Dedovich , I. M. Deppner , A. A. Derevschikov , A. Dhamija , L. Di Carlo , L. Didenko , P. Dixit , X. Dong , J. L. Drachenberg , E. Duckworth , J. C. Dunlop , J. Engelage , G. Eppley , S. Esumi , O. Evdokimov , A. Ewigleben , O. Eyser , R. Fatemi , F. M. Fawzi , S. Fazio , C. J. Feng , Y. Feng , E. Finch , Y. Fisyak , A. Francisco , C. Fu , C. A. Gagliardi , T. Galatyuk , F. Geurts , N. Ghimire , A. Gibson , K. Gopal , X. Gou , D. Grosnick , A. Gupta , W. Guryn , A. Hamed , Y. Han , S. Harabasz , M. D. Harasty , J. W. Harris , H. Harrison , S. He , W. He , X. H. He , Y. He , S. Heppelmann , S. Heppelmann , N. Herrmann , E. Hoffman , L. Holub , C. Hu , Q. Hu , Y. Hu , H. Huang , H. Z. Huang , S. L. Huang , T. Huang , X. Huang , Y. Huang , T. J. Humanic , D. Isenhower , M. Isshiki , W. W. Jacobs , C. Jena , A. Jentsch , Y. Ji , J. Jia , K. Jiang , 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 , B. Kimelman , D. Kincses , I. Kisel , A. Kiselev , A. G. Knospe , H. S. Ko , L. Kochenda , A. Korobitsin , L. K. Kosarzewski , L. Kramarik , P. Kravtsov , L. Kumar , S. 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 , N. Lewis , C. Li , C. Li , W. Li , X. Li , Y. Li , X. Liang , Y. Liang , R. Licenik , T. Lin , Y. Lin , M. A. Lisa , F. Liu , H. Liu , H. Liu , P. Liu , T. Liu , X. Liu , Y. Liu , Z. Liu , T. Ljubicic , W. J. Llope , R. S. Longacre , E. Loyd , T. Lu , N. S. Lukow , X. F. Luo , L. Ma , R. Ma , Y. G. Ma , N. Magdy , D. Mallick , S. L. Manukhov , S. Margetis , C. Markert , H. S. Matis , J. A. Mazer , N. G. Minaev , S. Mioduszewski , B. Mohanty , M. M. Mondal , I. Mooney , D. A. Morozov , A. Mukherjee , M. Nagy , J. D. Nam , Md. Nasim , K. Nayak , D. Neff , J. M. Nelson , D. B. Nemes , M. Nie , G. Nigmatkulov , T. Niida , R. Nishitani , L. V. Nogach , T. Nonaka , A. S. Nunes , G. Odyniec , A. Ogawa , S. Oh , V. A. Okorokov , K. Okubo , B. S. Page , R. Pak , J. Pan , A. Pandav , A. K. Pandey , Y. Panebratsev , P. Parfenov , A. Paul , B. Pawlik , D. Pawlowska , C. Perkins , J. Pluta , B. R. Pokhrel , J. Porter , M. Posik , V. Prozorova , N. K. Pruthi , M. Przybycien , J. Putschke , H. Qiu , A. Quintero , C. Racz , S. K. Radhakrishnan , N. Raha , R. L. Ray , R. Reed , H. G. Ritter , M. Robotkova , O. V. Rogachevskiy , J. L. Romero , D. Roy , L. Ruan , A. K. Sahoo , N. R. Sahoo , H. Sako , S. Salur , E. Samigullin , J. Sandweiss , S. Sato , A. M. Schmah , W. B. Schmidke , N. Schmitz , B. R. Schweid , F. Seck , J. Seger , R. Seto , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , T. Shao , R. Sharma , A. I. Sheikh , D. Y. Shen , S. S. Shi , Y. Shi , Q. Y. Shou , E. P. Sichtermann , R. Sikora , J. Singh , S. Singha , P. Sinha , M. J. Skoby , N. Smirnov , Y. Söhngen , W. Solyst , Y. Song , 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 , Z. W. Sweger , P. Szymanski , A. H. Tang , Z. Tang , A. Taranenko , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , T. Todoroki , M. Tokarev , C. A. Tomkiel , S. Trentalange , R. E. Tribble , P. Tribedy , S. K. Tripathy , T. Truhlar , B. A. Trzeciak , O. D. Tsai , Z. Tu , T. Ullrich , D. G. Underwood , I. Upsal , G. Van Buren , J. Vanek , A. N. Vasiliev , I. Vassiliev , V. Verkest , F. Videbæk , S. Vokal , S. A. Voloshin , F. Wang , G. Wang , J. S. Wang , P. Wang , X. Wang , Y. Wang , Y. Wang , Z. Wang , J. C. Webb , P. C. Weidenkaff , G. D. Westfall , H. Wieman , S. W. Wissink , R. Witt , J. Wu , J. Wu , Y. Wu , B. Xi , Z. G. Xiao , G. Xie , W. Xie , H. Xu , N. Xu , Q. H. Xu , Y. Xu , Z. Xu , Z. Xu , G. Yan , C. Yang , Q. Yang , S. Yang , Y. Yang , Z. Ye , Z. Ye , L. Yi , K. Yip , Y. Yu , H. Zbroszczyk , W. Zha , C. Zhang , D. Zhang , J. Zhang , S. Zhang , S. Zhang , Y. Zhang , Y. Zhang , Y. Zhang , Z. J. Zhang , Z. Zhang , Z. Zhang , F. Zhao , J. Zhao , M. Zhao , C. Zhou , Y. Zhou , X. Zhu , M. Zurek , M. Zyzak

We present the first measurement of directed flow ($v_1$) at the Relativistic Heavy Ion Collider (RHIC). $v_1$ is found to be consistent with zero at pseudorapidities $\eta$ from -1.2 to 1.2, then rises to the level of a couple of percent…

Nuclear Experiment · Physics 2009-11-10 A. H. Tang , STAR Collaboration