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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

We present the first measurement of elliptic ($v_2$) and triangular ($v_3$) flow in high-multiplicity $^{3}$He$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV. Two-particle correlations, where the particles have a large separation in…

Nuclear Experiment · Physics 2019-08-13 A. Adare , S. Afanasiev , C. Aidala , N. N. Ajitanand , Y. Akiba , R. Akimoto , H. Al-Bataineh , J. Alexander , M. Alfred , H. Al-Ta'ani , K. R. Andrews , A. Angerami , K. Aoki , N. Apadula , L. Aphecetche , E. Appelt , Y. Aramaki , R. Armendariz , S. H. Aronson , J. Asai , H. Asano , E. C. Aschenauer , E. T. Atomssa , R. Averbeck , T. C. Awes , B. Azmoun , V. Babintsev , M. Bai , G. Baksay , L. Baksay , A. Baldisseri , N. S. Bandara , B. Bannier , K. N. Barish , P. D. Barnes , B. Bassalleck , A. T. Basye , S. Bathe , S. Batsouli , V. Baublis , C. Baumann , A. Bazilevsky , M. Beaumier , S. Beckman , S. Belikov , R. Belmont , J. Ben-Benjamin , R. Bennett , A. Berdnikov , Y. Berdnikov , J. H. Bhom , A. A. Bickley , D. S. Blau , J. G. Boissevain , J. S. Bok , H. Borel , K. Boyle , M. L. Brooks , D. Broxmeyer , J. Bryslawskyj , H. Buesching , V. Bumazhnov , G. Bunce , S. Butsyk , C. M. Camacho , S. Campbell , A. Caringi , P. Castera , B. S. Chang , W. C. Chang , J. -L. Charvet , C. -H. Chen , S. Chernichenko , C. Y. Chi , J. Chiba , M. Chiu , I. J. Choi , J. B. Choi , R. K. Choudhury , P. Christiansen , T. Chujo , P. Chung , A. Churyn , O. Chvala , V. Cianciolo , Z. Citron , C. R. Cleven , B. A. Cole , M. P. Comets , Z. Conesa del Valle , M. Connors , P. Constantin , M. Csanád , T. Csörgő , T. Dahms , S. Dairaku , I. Danchev , D. Danley , K. Das , A. Datta , M. S. Daugherity , G. David , M. K. Dayananda , M. B. Deaton , K. DeBlasio , K. Dehmelt , H. Delagrange , A. Denisov , D. d'Enterria , A. Deshpande , E. J. Desmond , K. V. Dharmawardane , O. Dietzsch , A. Dion , P. B. Diss , J. H. Do , M. Donadelli , L. D'Orazio , O. Drapier , A. Drees , K. A. Drees , A. K. Dubey , J. M. Durham , A. Durum , D. Dutta , V. Dzhordzhadze , S. Edwards , Y. V. Efremenko , J. Egdemir , F. Ellinghaus , W. S. Emam , T. Engelmore , A. Enokizono , H. En'yo , S. Esumi , K. O. Eyser , B. Fadem , N. Feege , 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 , S. Gadrat , C. Gal , P. Gallus , P. Garg , I. Garishvili , H. Ge , F. Giordano , A. Glenn , H. Gong , X. Gong , M. Gonin , J. Gosset , Y. Goto , R. Granier de Cassagnac , N. Grau , S. V. Greene , G. Grim , M. Grosse Perdekamp , Y. Gu , T. Gunji , L. Guo , H. -Å. Gustafsson , T. Hachiya , A. Hadj Henni , C. Haegemann , J. S. Haggerty , K. I. Hahn , H. Hamagaki , J. Hamblen , H. F. Hamilton , R. Han , S. Y. Han , J. Hanks , H. Harada , C. Harper , E. P. Hartouni , K. Haruna , S. Hasegawa , T. O. S. Haseler , K. Hashimoto , E. Haslum , R. Hayano , X. He , M. Heffner , T. K. Hemmick , T. Hester , H. Hiejima , J. C. Hill , R. Hobbs , M. Hohlmann , R. S. Hollis , W. Holzmann , K. Homma , B. Hong , T. Horaguchi , Y. Hori , D. Hornback , T. Hoshino , N. Hotvedt , J. Huang , S. Huang , T. Ichihara , R. Ichimiya , H. Iinuma , Y. Ikeda , K. Imai , J. Imrek , M. Inaba , Y. Inoue , A. Iordanova , D. Isenhower , L. Isenhower , M. Ishihara , T. Isobe , M. Issah , A. Isupov , D. Ivanishchev , Y. Iwanaga , B. V. Jacak , M. Jezghani , J. Jia , X. Jiang , J. Jin , O. Jinnouchi , D. John , B. M. Johnson , T. Jones , K. S. Joo , D. Jouan , D. S. Jumper , F. Kajihara , S. Kametani , N. Kamihara , J. Kamin , S. Kanda , M. Kaneta , S. Kaneti , B. H. Kang , J. H. Kang , J. S. Kang , H. Kanou , J. Kapustinsky , K. Karatsu , M. Kasai , D. Kawall , M. Kawashima , A. V. Kazantsev , T. Kempel , J. A. Key , V. Khachatryan , A. Khanzadeev , K. M. Kijima , J. Kikuchi , A. Kim , B. I. Kim , C. Kim , D. H. Kim , D. J. Kim , E. Kim , E. -J. Kim , G. W. Kim , M. Kim , S. H. Kim , Y. -J. Kim , Y. K. Kim , B. Kimelman , E. Kinney , K. Kiriluk , Á. Kiss , E. Kistenev , R. Kitamura , A. Kiyomichi , J. Klatsky , J. Klay , C. Klein-Boesing , D. Kleinjan , P. Kline , T. Koblesky , L. Kochenda , V. Kochetkov , B. Komkov , M. Konno , J. Koster , D. Kotchetkov , D. Kotov , A. Kozlov , A. Král , A. Kravitz , J. Kubart , G. J. Kunde , N. Kurihara , K. Kurita , M. Kurosawa , M. J. Kweon , Y. Kwon , G. S. Kyle , R. Lacey , Y. S. Lai , J. G. Lajoie , D. Layton , A. Lebedev , D. M. Lee , J. Lee , K. B. Lee , K. S. Lee , M. K. Lee , S Lee , S. H. Lee , S. R. Lee , T. Lee , M. J. Leitch , M. A. L. Leite , B. Lenzi , X. Li , P. Lichtenwalner , P. Liebing , S. H. Lim , L. A. Linden Levy , T. Liška , A. Litvinenko , H. Liu , M. X. Liu , B. Love , D. Lynch , C. F. Maguire , Y. I. Makdisi , M. Makek , A. Malakhov , M. D. Malik , A. Manion , V. I. Manko , E. Mannel , Y. Mao , L. Mašek , H. Masui , F. Matathias , M. McCumber , P. L. McGaughey , D. McGlinchey , C. McKinney , N. Means , A. Meles , M. Mendoza , B. Meredith , Y. Miake , T. Mibe , A. C. Mignerey , P. Mikeš , K. Miki , T. E. Miller , A. Milov , S. Mioduszewski , D. K. Mishra , M. Mishra , J. T. Mitchell , M. Mitrovski , Y. Miyachi , S. Miyasaka , S. Mizuno , A. K. Mohanty , P. Montuenga , H. J. Moon , T. Moon , Y. Morino , A. Morreale , D. P. Morrison , S. Motschwiller , T. V. Moukhanova , D. Mukhopadhyay , T. Murakami , J. Murata , A. Mwai , S. Nagamiya , K. Nagashima , Y. Nagata , J. L. Nagle , M. Naglis , M. I. Nagy , I. Nakagawa , H. Nakagomi , Y. Nakamiya , K. R. Nakamura , T. Nakamura , K. Nakano , S. Nam , C. Nattrass , P. K. Netrakanti , J. Newby , M. Nguyen , M. Nihashi , T. Niida , S. Nishimura , B. E. Norman , R. Nouicer , T. Novak , N. Novitzky , A. S. Nyanin , C. Oakley , E. O'Brien , S. X. Oda , C. A. Ogilvie , H. Ohnishi , M. Oka , K. Okada , O. O. Omiwade , Y. Onuki , J. D. Orjuela Koop , J. D. Osborn , A. Oskarsson , M. Ouchida , K. Ozawa , R. Pak , D. Pal , A. P. T. Palounek , V. Pantuev , V. Papavassiliou , B. H. Park , I. H. Park , J. Park , J. S. Park , S. Park , S. K. Park , W. J. Park , S. F. Pate , L. Patel , M. Patel , H. Pei , J. -C. Peng , H. Pereira , D. V. Perepelitsa , G. D. N. Perera , V. Peresedov , D. Yu. Peressounko , J. Perry , R. Petti , C. Pinkenburg , R. Pinson , R. P. Pisani , M. Proissl , M. L. Purschke , A. K. Purwar , H. Qu , J. Rak , A. Rakotozafindrabe , B. J. Ramson , I. Ravinovich , K. F. Read , S. Rembeczki , M. Reuter , K. Reygers , D. Reynolds , V. Riabov , Y. Riabov , E. Richardson , T. Rinn , D. Roach , G. Roche , S. D. Rolnick , A. Romana , M. Rosati , C. A. Rosen , S. S. E. Rosendahl , P. Rosnet , Z. Rowan , J. G. Rubin , P. Rukoyatkin , P. Ružička , V. L. Rykov , B. Sahlmueller , N. Saito , T. Sakaguchi , S. Sakai , K. Sakashita , H. Sakata , H. Sako , V. Samsonov , S. Sano , M. Sarsour , S. Sato , T. Sato , M. Savastio , S. Sawada , B. Schaefer , B. K. Schmoll , K. Sedgwick , J. Seele , R. Seidl , A. Yu. Semenov , V. Semenov , A. Sen , R. Seto , P. Sett , A. Sexton , D. Sharma , I. Shein , A. Shevel , T. -A. Shibata , K. Shigaki , H. H. Shim , 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 , S. Skutnik , M. Slunečka , M. Snowball , T. Sodre , A. Soldatov , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , I. V. Sourikova , F. Staley , P. W. Stankus , E. Stenlund , M. Stepanov , A. Ster , S. P. Stoll , T. Sugitate , C. Suire , A. Sukhanov , T. Sumita , J. Sun , J. Sziklai , T. Tabaru , S. Takagi , E. M. Takagui , A. Takahara , A. Taketani , R. Tanabe , Y. Tanaka , S. Taneja , K. Tanida , M. J. Tannenbaum , S. Tarafdar , A. Taranenko , P. Tarján , E. Tennant , H. Themann , D. Thomas , T. L. Thomas , R. Tieulent , A. Timilsina , T. Todoroki , M. Togawa , A. Toia , J. Tojo , L. Tomášek , M. Tomášek , Y. Tomita , H. Torii , C. L. Towell , R. Towell , R. S. Towell , V-N. Tram , I. Tserruya , Y. Tsuchimoto , K. Utsunomiya , C. Vale , H. Valle , H. W. van Hecke , E. Vazquez-Zambrano , A. Veicht , J. Velkovska , R. Vértesi , A. A. Vinogradov , M. Virius , A. Vossen , V. Vrba , E. Vznuzdaev , M. Wagner , D. Walker , X. R. Wang , D. Watanabe , K. Watanabe , Y. Watanabe , Y. S. Watanabe , F. Wei , R. Wei , J. Wessels , A. S. White , S. N. White , D. Winter , C. L. Woody , R. M. Wright , M. Wysocki , B. Xia , W. Xie , L. Xue , S. Yalcin , Y. L. Yamaguchi , K. Yamaura , R. Yang , A. Yanovich , Z. Yasin , J. Ying , S. Yokkaichi , J. H. Yoo , J. S. Yoo , I. Yoon , Z. You , G. R. Young , I. Younus , H. Yu , I. E. Yushmanov , W. A. Zajc , O. Zaudtke , A. Zelenski , C. Zhang , S. Zhou , J. Zimamyi , L. Zolin , L. Zou

Background: A component of azimuth correlations from high-energy heavy ion collisions varying as $\cos(2\phi)$ and denoted by symbol $v_2$ is conventionally interpreted to represent "elliptic flow," a hydrodynamic manifestation of the…

High Energy Physics - Phenomenology · Physics 2014-09-25 Thomas A. Trainor , David T. Kettler , Duncan J. Prindle , R. L. Ray

A framework combining Yang-Mills dynamics of the pre-equilibrium glasma with relativistic viscous hydrodynamic evolution of the quark-gluon plasma and hadron gas phases is presented. Event-by-event fluctuations of nucleon positions and…

High Energy Physics - Phenomenology · Physics 2015-06-11 Charles Gale , Sangyong Jeon , Bjoern Schenke , Prithwish Tribedy , Raju Venugopalan

We introduce a new observable to probe the collective nature of the radial expansion of the quark-gluon plasma. This observable, dubbed $v_{02}(p_T)$, represents the correlation of the spectrum with elliptic flow, in the same way as the…

Nuclear Theory · Physics 2025-07-22 Tribhuban Parida , Rupam Samanta , Jean-Yves Ollitrault

We have argued that the azimuthal symmetry and asymmetry components in fourier expansion of particle momentum azimuthal distribution, $v_n$ (n=0, 1, 2, ...), should be calculated as an average of $cos(n\phi)$ first over particles in an…

Nuclear Theory · Physics 2009-12-16 Xiao-Mei Li , Bao-Guo Dong , Yu-Liang Yan , Hai-Liang Ma , Dai-Mei Zhou , Ben-Hao Sa

We suggest the possibility to disentangle anisotropic flow, flow fluctuation, and nonflow using two-, four-, and six-particle azimuthal moments assuming Gaussian fluctuations. We show that such disentanglement is possible when the flow…

Nuclear Experiment · Physics 2013-02-18 Li Yi , Fuqiang Wang , Aihong Tang

We have recently proposed a new method of flow analysis, based on a cumulant expansion of multiparticle azimuthal correlations. Here, we describe the practical implementation of the method. The major improvement over traditional methods is…

Nuclear Experiment · Physics 2007-05-23 Nicolas Borghini , Phuong Mai Dinh , Jean-Yves Ollitrault

The elliptic flow measured at RHIC has been interpreted as a signature for strong partonic interactions early in the collision and as an indication of a well developed quark-gluon plasma phase. The measured values of elliptic flow, using…

Nuclear Experiment · Physics 2007-05-23 Mike Miller , Raimond Snellings

We study correlations between harmonic flow vectors squared measured at different transverse momenta. One of the flow harmonics squared is taken at a fixed transverse momentum and correlated to the momentum averaged harmonic flow squared of…

Nuclear Theory · Physics 2022-04-06 Piotr Bozek , Rupam Samanta

Fluctuations in nucleon positions can affect the spatial eccentricity of the overlap zone in nucleus-nucleus collisions. We show that elliptic flow should be scaled by different eccentricities depending on which method is used for the flow…

Nuclear Theory · Physics 2008-11-26 Rajeev S. Bhalerao , Jean-Yves Ollitrault

Predictions are made for elliptic flow in collisions of polarized deuterons with a heavy nucleus. It is shown that the eccentricity of the initial fireball, evaluated with respect to the deuteron polarization axis perpendicular to the beam…

Nuclear Theory · Physics 2018-11-21 Piotr Bozek , Wojciech Broniowski

Recent measurements at RHIC of angular correlations of same-sign vs. opposite sign pairs have been interpreted as evidence for large-scale fluctuations of parity-odd fields. In this paper, we provide alternative explanations of the same…

Nuclear Theory · Physics 2010-02-10 Scott Pratt

Correlations of two flow harmonics $v_n$ and $v_m$ via three- and four-particle cumulants are measured in 13 TeV $pp$, 5.02 TeV $p$+Pb, and 2.76 TeV peripheral Pb+Pb collisions with the ATLAS detector at the LHC. The goal is to understand…

Nuclear Experiment · Physics 2019-01-14 ATLAS Collaboration

A simple geometrical model with event-by-event fluctuations is suggested to study elliptical and triangular eccentricities in the initial state of relativistic heavy-ion collisions. This model describes rather well the ALICE and ATLAS data…

Nuclear Theory · Physics 2021-08-11 G. Kh. Eyyubova , V. L. Korotkikh , A. M. Snigirev , E. E. Zabrodin

The angular correlations measured in proton-proton collisions at 7 TeV are decomposed into contributions from back to back emission and elliptic flow. Modeling the dominant term in the correlation functions as a momentum conservation effect…

High Energy Physics - Phenomenology · Physics 2011-02-09 Piotr Bozek

This paper presents the first measurement of event-by-event fluctuations of the elliptic flow parameter v_2 in Au+Au collisions at sqrt(s_NN) = 200GeV as a function of collision centrality. The relative non-statistical fluctuations of the…

Nuclear Experiment · Physics 2019-08-14 B. Alver

Correlations between the harmonic flow coefficients $v_1$, $v_2$, $v_3$ and $v_4$ of nucleons in semi-peripheral Au+Au collisions at a beam energy of 1.23~AGeV are investigated within the hadronic transport approach Ultra-relativistic…

Nuclear Theory · Physics 2023-02-28 Tom Reichert , Jan Steinheimer , Christoph Herold , Ayut Limphirat , Marcus Bleicher

In this thesis, we focus on the fluctuations and correlations of the collective observables such as the mean transverse momentum per particle ($[p_T]$) and harmonic flow coefficients ($v_n$) of particles produced in the ultrarelativistic…

Nuclear Theory · Physics 2025-05-20 Rupam Samanta