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We propose observables $v_0$ and $v_0(p_T)$ which quantify the relative fluctuations in the total transverse momentum at fixed multiplicity. We first study the factorization of the fixed multiplicity momentum dependent two particle…

Nuclear Theory · Physics 2020-09-23 Björn Schenke , Chun Shen , Derek Teaney

The fluidity of the hot and dense QCD matter is a key characteristic of the medium created in high-energy heavy-ion collisions. We extend the framework of the relativistic hydrodynamic model to incorporate non-thermal momentum distributions…

Nuclear Theory · Physics 2025-10-22 Akihiko Monnai

In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion…

Nuclear Theory · Physics 2015-05-13 Tetsufumi Hirano , Naomi van der Kolk , Ante Bilandzic

High statistics data sets from experiments at the Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC) with small and large collision species have enabled a wealth of new flow measurements, including the event-by-event…

Nuclear Theory · Physics 2021-06-23 S. H. Lim , J. L. Nagle

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

An attempt has been made to estimate the minimum size of the de-confined matter of Quark-Gluon Plasma (QGP) in small systems like p-Pb system that could be satisfactorily modeled with low-order hydrodynamics. The variation of second order…

High Energy Physics - Phenomenology · Physics 2026-05-27 Nikhil Hatwar , Sadhana Dash , Basanta Kumar Nandi

Elliptic flow measurements from two-, four- and six-particle correlations are used to investigate flow fluctuations in collisions of U+U at $\sqrt{s_{\rm NN}}$= 193 GeV, Cu+Au at $\sqrt{s_{\rm NN}}$= 200 GeV and Au+Au spanning the range…

Nuclear Experiment · Physics 2022-12-19 STAR Collaboration , M. S. Abdallah , J. Adam , L. Adamczyk , J. R. Adams , J. K. Adkins , G. Agakishiev , I. Aggarwal , 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 , 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 , I. Bunzarov , J. Butterworth , 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 , N. Chankova-Bunzarova , A. Chatterjee , S. Chattopadhyay , D. Chen , J. Chen , J. H. Chen , X. Chen , Z. Chen , J. Cheng , M. Chevalier , 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 , N. Elsey , J. Engelage , G. Eppley , S. Esumi , O. Evdokimov , A. Ewigleben , O. Eyser , R. Fatemi , F. M. Fawzi , S. Fazio , P. Federic , J. Fedorisin , C. J. Feng , Y. Feng , P. Filip , E. Finch , Y. Fisyak , A. Francisco , C. Fu , L. Fulek , C. A. Gagliardi , T. Galatyuk , F. Geurts , N. Ghimire , A. Gibson , K. Gopal , X. Gou , D. Grosnick , A. Gupta , W. Guryn , A. I. Hamad , 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 , Y. Hu , H. Huang , H. Z. Huang , S. L. Huang , T. Huang , X. Huang , Y. Huang , T. J. Humanic , G. Igo , D. Isenhower , 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 , C. Kim , B. Kimelman , D. Kincses , I. Kisel , A. Kiselev , A. G. Knospe , L. Kochenda , 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 , 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 , N. S. Lukow , X. F. Luo , L. Ma , R. Ma , Y. G. Ma , N. Magdy , D. Mallick , 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 , B. S. Page , R. Pak , A. Pandav , A. K. Pandey , Y. Panebratsev , P. Parfenov , B. Pawlik , D. Pawlowska , H. Pei , C. Perkins , L. Pinsky , R. L. Pintér , J. Pluta , B. R. Pokhrel , G. Ponimatkin , 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 , 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 , T. Shao , A. I. Sheikh , D. Shen , S. S. Shi , Y. Shi , Q. Y. Shou , E. P. Sichtermann , R. Sikora , M. Simko , J. Singh , S. Singha , M. J. Skoby , N. Smirnov , Y. Söhngen , 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 , 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 , 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 , 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 , 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 , X. P. Zhang , Y. Zhang , Y. Zhang , Y. Zhang , Z. J. Zhang , Z. Zhang , Z. Zhang , J. Zhao , C. Zhou , X. Zhu , Z. Zhu , M. Zurek , M. Zyzak

The experimentally measured elliptic ($v_{2}$) and hexadecapole ($v_{4}$) flow of charged particles as a function of transverse momentum ($p_{T}$) at midrapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm NN}}$ = 2.76 TeV are compared with…

Nuclear Theory · Physics 2013-05-07 Victor Roy , Bedangadas Mohanty , A. K. Chaudhuri

We have studied the space-time evolution of minimally viscous ($\frac{\eta}{s}$=0.08) QGP fluid, undergoing boost-invariant longitudinal motion and arbitrary transverse expansion. Relaxation equations for the shear stress tensor components,…

Nuclear Theory · Physics 2008-06-18 A. K. Chaudhuri

Event-by-event fluctuations caused by quantum mechanical fluctuations in the wave function of colliding nuclei in ultrarelativistic heavy ion collisions were recently shown to be necessary for the simultaneous description of $R_{AA}$ as…

In the framework of the Glauber approach we analyze the shape parameters of the early-formed system and their event-by-event fluctuations. We test a variety of models: the conventional wounded nucleon model, a model admixing binary…

Nuclear Theory · Physics 2008-11-26 Wojciech Broniowski , Piotr Bozek , Maciej Rybczynski

We study the collision energy dependence of elliptic flow v_2 and triangular flow v_3 in Au+Au collisions within the energy range sqrt(s_{NN}) = 5-200 GeV, utilizing a transport + hydrodynamics hybrid model. The transport part is described…

Nuclear Theory · Physics 2014-04-11 Jussi Auvinen , Hannah Petersen

We present a numerical code modeling the evolution of the medium formed in relativistic heavy ion collisions, ECHO-QGP. The code solves relativistic hydrodynamics in $(3+1)-$D, with dissipative terms included within the framework of…

High Energy Physics - Phenomenology · Physics 2015-06-22 Valentina Rolando , Gabriele Inghirami , Andrea Beraudo , Luca Del Zanna , Francesco Becattini , Vinod Chandra , Arturo De Pace , Marzia Nardi

Collective spin phenomena in the final states of heavy-ion collisions are typically understood to originate from vorticity and shear in the quark-gluon plasma. Here, we ask whether spin could already be present in the initial condition of…

Nuclear Theory · Physics 2025-10-01 Giuliano Giacalone , Enrico Speranza

The initial distribution of gluons at the very early times after a high energy heavy ion collision is described by the bulk scale $Q_s$ of gluon saturation in the nuclear wavefunction. The subsequent evolution of the system towards kinetic…

High Energy Physics - Phenomenology · Physics 2010-11-30 Jefferson Bjoraker , Raju Venugopalan

We derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

Statistical Mechanics · Physics 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

The effects of fluctuating initial conditions are studied in the context of relativistic heavy ion collisions where a rapidly evolving system is formed. Two particle correlation analysis is applied to events generated with the NEXSPHERIO…

Nuclear Theory · Physics 2014-11-18 J. Takahashi , B. M. Tavares , W. L. Qian , R. Andrade , F. Grassi , Y. Hama , T. Kodama , N. Xu

Collective flow of the final-state hadrons observed in ultrarelativistic heavy-ion collisions or even in smaller systems formed in high-multiplicity pp and p/d/$^3$He-nucleus collisions is one of the most important diagnostic tools to probe…

Nuclear Theory · Physics 2021-06-29 Rajeev S Bhalerao

We study the pseudorapidity dependent hydrodynamic response in heavy-ion collisions. A differential hydrodynamic relation is obtained for elliptic flow. Using event-by-event simulations of 3+1D MUSIC, with initial conditions generated via a…

Nuclear Theory · Physics 2021-02-03 Hui Li , Li Yan

We propose a differential hydrodynamic response relation, $V_2(\zeta)=\int d\xi G(\zeta-\xi) \mathcal{E}_2(\xi)$, to describe the formation of a pseudorapidity dependent elliptic flow in heavy-ion collisions, in response to a fluctuating…

Nuclear Theory · Physics 2020-01-31 Hui Li , Li Yan