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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

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

How can we gain a detailed insight into the hydrodynamic response of the system created in heavy ion collisions to the fluctuating initial geometry and viscous effects? Do we create a strongly interacting medium in proton-nucleus and…

Nuclear Experiment · Physics 2021-05-18 Georgios Konstantinos Krintiras

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

New PHENIX measurements of the anisotropic flow coefficients $v_2\{\Psi_2\}$, $v_3\{\Psi_3\}$, $v_4\{\Psi_4\}$ and $v_4\{\Psi_2\}$ for identified particles ($\pi^{\pm}$, $K^{\pm}$, and $p+\bar{p}$) obtained relative to the event planes…

Nuclear Experiment · Physics 2019-08-13 A. Adare , S. Afanasiev , C. Aidala , N. N. Ajitanand , Y. Akiba , H. Al-Bataineh , J. Alexander , K. Aoki , Y. Aramaki , E. T. Atomssa , R. Averbeck , T. C. Awes , B. Azmoun , V. Babintsev , M. Bai , G. Baksay , L. Baksay , K. N. Barish , B. Bassalleck , A. T. Basye , S. Bathe , V. Baublis , C. Baumann , A. Bazilevsky , S. Belikov , R. Belmont , R. Bennett , A. Berdnikov , Y. Berdnikov , A. A. Bickley , J. S. Bok , K. Boyle , M. L. Brooks , H. Buesching , V. Bumazhnov , G. Bunce , S. Butsyk , C. M. Camacho , S. Campbell , C. -H. Chen , C. Y. Chi , M. Chiu , I. J. Choi , R. K. Choudhury , P. Christiansen , T. Chujo , P. Chung , O. Chvala , V. Cianciolo , Z. Citron , B. A. Cole , M. Connors , P. Constantin , M. Csanád , T. Csörgő , T. Dahms , S. Dairaku , I. Danchev , K. Das , A. Datta , G. David , A. Denisov , A. Deshpande , E. J. Desmond , O. Dietzsch , A. Dion , M. Donadelli , O. Drapier , A. Drees , K. A. Drees , J. M. Durham , A. Durum , D. Dutta , S. Edwards , Y. V. Efremenko , F. Ellinghaus , T. Engelmore , A. Enokizono , H. En'yo , S. Esumi , B. Fadem , D. E. Fields , M. Finger , M. Finger, , F. Fleuret , S. L. Fokin , Z. Fraenkel , J. E. Frantz , A. Franz , A. D. Frawley , K. Fujiwara , Y. Fukao , T. Fusayasu , I. Garishvili , A. Glenn , H. Gong , M. Gonin , Y. Goto , R. Granier de Cassagnac , N. Grau , S. V. Greene , M. Grosse Perdekamp , T. Gunji , H. -Å. Gustafsson , J. S. Haggerty , K. I. Hahn , H. Hamagaki , J. Hamblen , R. Han , J. Hanks , E. P. Hartouni , E. Haslum , R. Hayano , X. He , M. Heffner , T. K. Hemmick , T. Hester , J. C. Hill , M. Hohlmann , W. Holzmann , K. Homma , B. Hong , T. Horaguchi , D. Hornback , S. Huang , T. Ichihara , R. Ichimiya , J. Ide , Y. Ikeda , K. Imai , M. Inaba , D. Isenhower , M. Ishihara , T. Isobe , M. Issah , A. Isupov , D. Ivanischev , B. V. Jacak , J. Jia , J. Jin , B. M. Johnson , K. S. Joo , D. Jouan , D. S. Jumper , F. Kajihara , S. Kametani , N. Kamihara , J. Kamin , J. H. Kang , J. Kapustinsky , K. Karatsu , D. Kawall , M. Kawashima , A. V. Kazantsev , T. Kempel , A. Khanzadeev , K. M. Kijima , B. I. Kim , D. H. Kim , D. J. Kim , E. Kim , E. -J. Kim , S. H. Kim , Y. -J. Kim , E. Kinney , K. Kiriluk , Á. Kiss , E. Kistenev , L. Kochenda , B. Komkov , M. Konno , J. Koster , D. Kotchetkov , A. Kozlov , A. Král , A. Kravitz , G. J. Kunde , K. Kurita , M. Kurosawa , Y. Kwon , G. S. Kyle , R. Lacey , Y. S. Lai , J. G. Lajoie , A. Lebedev , D. M. Lee , J. Lee , K. Lee , K. B. Lee , K. S. Lee , M. J. Leitch , M. A. L. Leite , E. Leitner , B. Lenzi , X. Li , P. Liebing , L. A. Linden Levy , T. Liška , A. Litvinenko , H. Liu , M. X. Liu , B. Love , R. Luechtenborg , D. Lynch , C. F. Maguire , Y. I. Makdisi , A. Malakhov , M. D. Malik , V. I. Manko , E. Mannel , Y. Mao , H. Masui , F. Matathias , M. McCumber , P. L. McGaughey , N. Means , B. Meredith , Y. Miake , A. C. Mignerey , P. Mikeš , K. Miki , A. Milov , M. Mishra , J. T. Mitchell , S. Mizuno , A. K. Mohanty , Y. Morino , A. Morreale , D. P. Morrison , T. V. Moukhanova , J. Murata , S. Nagamiya , J. L. Nagle , M. Naglis , M. I. Nagy , I. Nakagawa , Y. Nakamiya , T. Nakamura , K. Nakano , J. Newby , M. Nguyen , R. Nouicer , A. S. Nyanin , E. O'Brien , S. X. Oda , C. A. Ogilvie , M. Oka , K. Okada , Y. Onuki , A. Oskarsson , M. Ouchida , K. Ozawa , R. Pak , V. Pantuev , V. Papavassiliou , I. H. Park , J. Park , S. K. Park , W. J. Park , S. F. Pate , H. Pei , J. -C. Peng , H. Pereira , V. Peresedov , D. Yu. Peressounko , C. Pinkenburg , R. P. Pisani , M. Proissl , M. L. Purschke , A. K. Purwar , H. Qu , J. Rak , A. Rakotozafindrabe , I. Ravinovich , K. F. Read , K. Reygers , D. Reynolds , V. Riabov , Y. Riabov , E. Richardson , D. Roach , G. Roche , S. D. Rolnick , M. Rosati , C. A. Rosen , S. S. E. Rosendahl , P. Rosnet , P. Rukoyatkin , P. Ružička , B. Sahlmueller , N. Saito , T. Sakaguchi , K. Sakashita , V. Samsonov , S. Sano , T. Sato , S. Sawada , K. Sedgwick , J. Seele , R. Seidl , A. Yu. Semenov , R. Seto , D. Sharma , I. Shein , T. -A. Shibata , K. Shigaki , M. Shimomura , K. Shoji , P. Shukla , A. Sickles , C. L. Silva , D. Silvermyr , C. Silvestre , K. S. Sim , B. K. Singh , C. P. Singh , V. Singh , M. Slunečka , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , I. V. Sourikova , N. A. Sparks , P. W. Stankus , E. Stenlund , S. P. Stoll , T. Sugitate , A. Sukhanov , J. Sziklai , E. M. Takagui , A. Taketani , R. Tanabe , Y. Tanaka , K. Tanida , M. J. Tannenbaum , S. Tarafdar , A. Taranenko , P. Tarján , H. Themann , T. L. Thomas , T. Todoroki , M. Togawa , A. Toia , L. Tomášek , H. Torii , R. S. Towell , I. Tserruya , Y. Tsuchimoto , C. Vale , H. Valle , H. W. van Hecke , E. Vazquez-Zambrano , A. Veicht , J. Velkovska , R. Vértesi , A. A. Vinogradov , M. Virius , V. Vrba , E. Vznuzdaev , X. R. Wang , D. Watanabe , K. Watanabe , Y. Watanabe , F. Wei , R. Wei , J. Wessels , S. N. White , D. Winter , J. P. Wood , C. L. Woody , R. M. Wright , M. Wysocki , W. Xie , Y. L. Yamaguchi , K. Yamaura , R. Yang , A. Yanovich , J. Ying , S. Yokkaichi , Z. You , G. R. Young , I. Younus , I. E. Yushmanov , W. A. Zajc , C. Zhang , S. Zhou , L. Zolin

Anisotropic flow and fluctuations are sensitive observables of the initial state effects in heavy ion collisions and are characterized by the medium properties and final state interactions. Using event-shape observables, one can constrain…

Nuclear Theory · Physics 2025-07-29 Suraj Prasad , Aswathy Menon K R , Raghunath Sahoo , Neelkamal Mallick

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

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

Flow develops in ultra-relativistic heavy-ion collisions via re-interactions among partons or/and hadrons. Characterizing flow is a crucial step towards understanding the formation of partonic matter. We review new measurements on…

Nuclear Experiment · Physics 2009-11-10 Fabrice Retiere

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 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

We present a number of independent flow observables that can be measured using multiparticle azimuthal correlations in heavy-ion collisions. Some of these observables are already well known, such as v2{2} and v2{4}, but most are new--in…

Nuclear Theory · Physics 2012-06-18 Rajeev S. Bhalerao , Matthew Luzum , Jean-Yves Ollitrault

Based on the (3+1)-dimensional hydrodynamic model, the space-time evolution of hot and dense nuclear matter produced in non-central relativistic heavy-ion collisions is discussed. The elliptic flow parameter v_2 is obtained by Fourier…

Nuclear Theory · Physics 2007-05-23 Tetsufumi Hirano

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

Flow coefficients $v_n$ for $n$ = 2, 3, 4, characterizing the anisotropic collective flow in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV, are presented. They indicate the expected growth of viscous damping for sound propagation in the…

Nuclear Experiment · Physics 2015-05-30 Roy Lacey

Using iEBE-VISHNU hybrid model with the AMPT initial conditions, we study the higher order flow harmonics of identified hadrons in 2.76 A TeV Pb+Pb collisions. Comparison with the recent ALICE measurements at 20-30\% centrality shows that…

Nuclear Theory · Physics 2016-06-29 Hao-jie Xu , Zhuopeng Li , Huichao Song

The hydrodynamic flow-like behavior of charged hadrons in high-energy lead-lead collisions is studied through multiparticle correlations. The elliptic anisotropy values based on different orders of multiparticle cumulants, $v_{2}\{2k\}$,…

Nuclear Experiment · Physics 2024-02-20 CMS Collaboration

I review recent developments in the field of relativistic hydrodynamics and its application to the bulk dynamics in heavy-ion collisions at the Relativistic Heavy- Ion Collider (RHIC) and the Large Hadron Collider (LHC). In particular, I…

Nuclear Theory · Physics 2015-05-28 Bjoern Schenke

In high energy collisions of heavy-ions, experimental findings of collective flow are customarily associated with the presence of a thermalized medium expanding according to the laws of hydrodynamics. Recently, the ATLAS, CMS and ALICE…

Nuclear Theory · Physics 2016-08-24 M. Habich , G. A. Miller , P. Romatschke , W. Xiang

Anisotropic flow plays a crucial role in establishing the equation of state of the Quark Gluon Plasma. The results at RHIC and LHC have demonstrated that the matter created in heavy-ion collisions behaves as a nearly perfect fluid reflected…

Nuclear Experiment · Physics 2019-08-13 Naghmeh Mohammadi
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