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Related papers: Flow harmonics within an analytically solvable vis…

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The $\mathrm{n^{th}}$-order linear flow coefficients $\mathrm{v^L_n \, (n=2,3,4,5)}$, and the corresponding nonlinear mode-coupled ($\mathrm{mc}$) coefficients $\mathrm{v^{mc}_{4,(2,2)}}$, $\mathrm{v^{mc}_{5,(2,3)}}$,…

Nuclear Experiment · Physics 2018-09-12 Peifeng Liu , Roy A. Lacey

The scaling properties of the flow harmonics for charged hadrons $v_{n}$ and their ratios $[ v_n/(v_2)^{n/2}]_{n\geq 3}$, are studied for a broad range of transverse momenta ($p_T$) and centrality selections in Au+Au and Pb+Pb collisions at…

Nuclear Experiment · Physics 2011-09-01 Roy A. Lacey , A. Taranenko , J. Jia , N. N. Ajitanand , J. M. Alexander

We generalize the Gubser solution of viscous hydrodynamics by including the finite density effect and analytically compute the flow harmonics $v_n$. We explicitly show how $v_n$ and their viscous corrections depend on the chemical…

High Energy Physics - Phenomenology · Physics 2015-12-09 Yoshitaka Hatta , Akihiko Monnai , Bo-Wen Xiao

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

The flow harmonics for charged hadrons ($v_{n}$) and their ratios $(v_n/v_2)_{n\geq 3}$, are studied for a broad range of transverse momenta ($p_T$) and centrality ($\text{cent}$) in Pb+Pb collisions at $\sqrt{s_{NN}}= 2.76$ TeV. They…

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

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

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

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 measured relative to event planes \Psi_n determined at large rapidity. We report v_n as a function of…

Nuclear Experiment · Physics 2020-11-12 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 , 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 , 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 , 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

Viscous hydrodynamics is commonly used to model the evolution of the matter created in an ultra-relativistic heavy-ion collision. It provides a good description of transverse momentum spectra and anisotropic flow. These observables,…

Nuclear Theory · Physics 2015-07-13 Salvatore Plumari , Giovanni Luca Guardo , Vincenzo Greco , Jean-Yves Ollitrault

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

In this proceedings I briefly review the recent progress achieved on the calculation of $v_n$ at high $p_T$ via the coupling of a jet energy loss model with full event-by-event viscous hydrodynamics. It is shown that that this framework can…

Nuclear Theory · Physics 2017-05-24 Jorge Noronha

I summarize our recent work towards finding and utilizing analytic solutions of relativistic hydrodynamic. In the first part I discuss various exact solutions of the second-order conformal hydrodynamics. In the second part I compute flow…

High Energy Physics - Phenomenology · Physics 2016-11-23 Yoshitaka Hatta

We consider the development of anisotropic flow in an expanding system of particles undergoing very few rescatterings, using a kinetic-theoretical description with a nonlinear collision term. We derive the scaling behaviors of the harmonic…

Nuclear Theory · Physics 2018-10-29 Nicolas Borghini , Steffen Feld , Nina Kersting

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

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

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

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 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

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

We investigate the correlation between various aspects of the initial geometry of heavy ion collisions at the Relativistic Heavy Ion Collider energies and the final anisotropic flow, using v-USPhydro, a 2+1 event-by-event viscous…

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