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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

A comprehensive viscous hydrodynamic fit of spectra and elliptic flow for charged hadrons and identified pions and protons from Au+Au collisions of all centralities measured at the Relativistic Heavy Ion Collider is performed and used as…

Nuclear Theory · Physics 2012-10-08 Chun Shen , Ulrich W. Heinz , Pasi Huovinen , Huichao Song

Using the event-by-event viscous hydrodynamics VISH2+1 with MC-Glauber, MC-KLN, and AMPT initial conditions, we investigate the correlations of flow harmonics, including the symmetric cumulants $SC^{v}(m, n)$, the normalized symmetric…

Nuclear Theory · Physics 2017-04-12 Xiangrong Zhu , You Zhou , Haojie Xu , Huichao Song

The linear and mode-coupled contributions to higher-order anisotropic flow are presented for Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 27, 39, 54.4, and 200 GeV and compared to similar measurements for Pb+Pb collisions at the Large…

Nuclear Experiment · Physics 2023-02-22 STAR Collaboration , B. E. Aboona , J. Adam , J. R. Adams , G. Agakishiev , I. Aggarwal , M. M. Aggarwal , Z. Ahammed , A. Aitbaev , I. Alekseev , D. M. Anderson , A. Aparin , J. Atchison , G. S. Averichev , V. Bairathi , W. Baker , J. G. Ball Cap , K. Barish , P. Bhagat , A. Bhasin , S. Bhatta , I. G. Bordyuzhin , J. D. Brandenburg , A. V. Brandin , X. Z. Cai , H. Caines , M. Calderón de la Barca Sánchez , D. Cebra , J. Ceska , I. Chakaberia , B. K. Chan , Z. Chang , D. Chen , J. Chen , J. H. Chen , Z. Chen , J. Cheng , Y. Cheng , S. Choudhury , W. Christie , X. Chu , H. J. Crawford , M. Csanád , G. Dale-Gau , A. Das , 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 , S. Fazio , C. J. Feng , Y. Feng , E. Finch , Y. Fisyak , F. A. Flor , C. Fu , F. Geurts , N. Ghimire , A. Gibson , K. Gopal , X. Gou , D. Grosnick , A. Gupta , A. Hamed , Y. Han , M. D. Harasty , J. W. Harris , H. Harrison , W. He , X. H. He , Y. He , C. Hu , Q. Hu , Y. Hu , H. Huang , H. Z. Huang , S. L. Huang , T. Huang , X. Huang , Y. Huang , Y. Huang , T. J. Humanic , D. Isenhower , M. Isshiki , W. W. Jacobs , A. Jalotra , C. Jena , Y. Ji , J. Jia , C. Jin , X. Ju , E. G. Judd , S. Kabana , M. L. Kabir , D. Kalinkin , K. Kang , D. Kapukchyan , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , M. Kelsey , B. Kimelman , D. Kincses , A. Kiselev , A. G. Knospe , H. S. Ko , L. Kochenda , A. A. Korobitsin , P. Kravtsov , L. Kumar , S. Kumar , R. Kunnawalkam Elayavalli , R. Lacey , J. M. Landgraf , A. Lebedev , R. Lednicky , J. H. Lee , Y. H. Leung , N. Lewis , C. Li , C. Li , W. Li , X. Li , Y. Li , Y. Li , Z. Li , X. Liang , Y. Liang , T. Lin , C. Liu , F. Liu , H. Liu , H. Liu , L. Liu , T. Liu , X. Liu , Y. Liu , Z. Liu , T. Ljubicic , W. J. Llope , O. Lomicky , R. S. Longacre , E. Loyd , T. Lu , N. S. Lukow , X. F. Luo , V. B. Luong , L. Ma , R. Ma , Y. G. Ma , N. Magdy , D. Mallick , S. Margetis , H. S. Matis , J. A. Mazer , G. McNamara , K. Mi , N. G. Minaev , B. Mohanty , I. Mooney , D. A. Morozov , A. Mudrokh , A. Mukherjee , M. I. Nagy , A. S. Nain , J. D. Nam , Md. Nasim , 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 , T. Pani , P. Parfenov , A. Paul , C. Perkins , B. R. Pokhrel , M. Posik , T. Protzman , N. K. Pruthi , J. Putschke , Z. Qin , H. Qiu , A. Quintero , C. Racz , S. K. Radhakrishnan , N. Raha , R. L. Ray , H. G. Ritter , C. W. Robertson , O. V. Rogachevsky , M. A. Rosales Aguilar , D. Roy , L. Ruan , A. K. Sahoo , N. R. Sahoo , H. Sako , S. Salur , E. Samigullin , S. Sato , W. B. Schmidke , N. Schmitz , J. Seger , R. Seto , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , T. Shao , M. Sharma , N. Sharma , R. Sharma , S. R. Sharma , A. I. Sheikh , D. Y. Shen , K. Shen , S. S. Shi , Y. Shi , Q. Y. Shou , F. Si , J. Singh , S. Singha , P. Sinha , M. J. Skoby , Y. Söhngen , Y. Song , B. Srivastava , T. D. S. Stanislaus , D. J. Stewart , M. Strikhanov , B. Stringfellow , Y. Su , C. Sun , X. Sun , Y. Sun , Y. Sun , B. Surrow , D. N. Svirida , Z. W. Sweger , A. Tamis , A. H. Tang , Z. Tang , A. Taranenko , T. Tarnowsky , J. H. Thomas , D. Tlusty , T. Todoroki , M. V. Tokarev , C. A. Tomkiel , S. Trentalange , R. E. Tribble , P. Tribedy , O. D. Tsai , C. Y. Tsang , Z. Tu , T. Ullrich , D. G. Underwood , I. Upsal , G. Van Buren , A. N. Vasiliev , V. Verkest , F. Videbæk , S. Vokal , S. A. Voloshin , F. Wang , G. Wang , J. S. Wang , X. Wang , Y. Wang , Y. Wang , Y. Wang , Z. Wang , J. C. Webb , P. C. Weidenkaff , G. D. Westfall , H. Wieman , G. Wilks , S. W. Wissink , J. Wu , J. Wu , X. Wu , Y. Wu , B. Xi , Z. G. Xiao , W. Xie , H. Xu , N. Xu , Q. H. Xu , Y. Xu , Y. Xu , Z. Xu , Z. Xu , G. Yan , Z. Yan , C. Yang , Q. Yang , S. Yang , Y. Yang , Z. Ye , Z. Ye , L. Yi , K. Yip , Y. Yu , W. Zha , C. Zhang , D. Zhang , J. Zhang , S. Zhang , X. Zhang , Y. Zhang , Y. Zhang , Y. Zhang , Z. J. Zhang , Z. Zhang , Z. Zhang , F. Zhao , J. Zhao , M. Zhao , C. Zhou , J. Zhou , S. Zhou , Y. Zhou , X. Zhu , M. Zurek , M. Zyzak

The addition of suitable volume forces to the Navier-Stokes equation allows to simulate flows in the presence of a homogeneous shear. Because of the explicit form of the driving the flows are accessible to rigorous mathematical treatment…

Chaotic Dynamics · Physics 2014-11-18 Bruno Eckhardt , Andreas Dietrich , Arne Jachens , Joerg Schumacher

Anisotropic flow is sensitive to the shear $(\eta/s)$ and bulk ($\zeta/s$) viscosity of the quark-gluon plasma created in heavy-ion collisions, as well as the initial state of such collisions and hadronization mechanisms. In these…

Nuclear Experiment · Physics 2018-03-14 Redmer Alexander Bertens

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

Using a viscosity-based survival scale for geometrical perturbations formed in the early stages of relativistic heavy-ion collisions, we model the radial flow velocity during freeze-out. Subsequently, we employ the Cooper-Frye freeze-out…

Nuclear Theory · Physics 2016-08-02 Amaresh Jaiswal , Volker Koch

We report the first results of elliptic ($v_2$), triangular ($v_3$) and quadrangular flow ($v_4$) of charged particles in Pb-Pb collisions at $\sqrt{s_{\rm NN}}=5.02$ TeV with the ALICE detector at the CERN Large Hadron Collider. The…

Nuclear Experiment · Physics 2016-12-13 ALICE Collaboration

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

Anisotropic flow coefficients v_1-v_5 in heavy ion collisions are computed by combining a classical Yang-Mills description of the early time glasma flow with the subsequent relativistic viscous hydrodynamic evolution of matter through the…

Nuclear Theory · Physics 2013-05-30 Charles Gale , Sangyong Jeon , Bjoern Schenke , Prithwish Tribedy , Raju Venugopalan

Bulk viscosity effects on the collective flow harmonics in heavy ion collisions are investigated, on an event by event basis, using a newly developed 2+1 Lagrangian hydrodynamic code named v-USPhydro which implements the Smoothed Particle…

The nonequilibrium hydrodynamic correlations of a Multiparticle-Collision-Dynamics (MPC) fluid in shear flow are studied by analytical calculations and simulations. The Navier-Stokes equations for a MPC fluid are linearized about the shear…

Statistical Mechanics · Physics 2015-11-24 Anoop Varghese , Chien-Cheng Huang , Roland G. Winkler , Gerhard Gompper

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

With growing multiplicity, the pp and pA collisions enter the domain where the macroscopic description (thermodynamics and hydrodynamics) becomes applicable. We discuss this situation, first with simplified thought experiments, then with…

High Energy Physics - Phenomenology · Physics 2013-10-30 Edward Shuryak , Ismail Zahed

We study causal viscous hydrodynamics in the context of central relativistic heavy-ion collisions and provide details of a straightforward numerical algorithm to solve the hydrodynamic equations. It is shown that correlation functions of…

Nuclear Theory · Physics 2008-11-26 Rudolf Baier , Paul Romatschke

A recently proposed schematic model for the non--linear rheology of dense colloidal dispersions is compared to flow curves measured in suspensions that consist of thermosensitive particles. The volume fraction of this purely repulsive model…

Soft Condensed Matter · Physics 2009-11-11 Matthias Fuchs , Matthias Ballauff

We present state-of-the-art calculations of viscous photon emission from nuclear collisions at RHIC and LHC. Fluctuating initial density profiles are evolved with event-by-event viscous hydrodynamics. Momentum spectra of thermal photons…

Nuclear Theory · Physics 2015-02-23 Chun Shen , Ulrich W. Heinz , Jean-Francois Paquet , Igor Kozlov , Charles Gale

I review the recent progress in measuring elliptic flow in heavy ion collisions. These measurements show clearly how hydrodynamics starts to develop as the system size is increased from peripheral to central collisions. During this…

Nuclear Theory · Physics 2009-11-18 Derek Teaney

The elliptic and triangular flow coefficients ($\mathrm{v_n, \, n=2,3}$) measured in Pb+Pb ($\sqrt{s_{_{\rm NN}}} = 2.76$ TeV) and p+Pb ($\sqrt{s_{_{\rm NN}}} = 5.02$ TeV) collisions, are studied as a function of initial-state eccentricity…

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