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We propose that flow fluctuations have the same origin as transverse momentum fluctuations. The common source of these fluctuations is the spatially inhomogeneous initial state that drives hydrodynamic flow. Longitudinal correlations from…

Nuclear Theory · Physics 2013-05-30 Sean Gavin , George Moschelli

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

For a detailed review of this subject I refer to a recent paper \cite{Voloshin:2008dg}; in this talk I only very briefly comment on a few most important questions: (a) Very recent significant progress in viscous hydrodynamics calculations…

Nuclear Experiment · Physics 2010-02-25 Sergei A. Voloshin

We investigate the role of the initial condition used for the hydrodynamic evolution of the system formed in ultra-relativistic heavy-ion collisions and find that an appropriate choice motivated by the models of early-stage dynamics,…

Nuclear Theory · Physics 2008-11-26 Wojciech Broniowski , Mikolaj Chojnacki , Wojciech Florkowski , Adam Kisiel

We present a simple description of the energy density profile created in a nucleus-nucleus collision, motivated by high-energy QCD. The energy density is modeled as the sum of contributions coming from elementary collisions between…

One of the long-standing problems in the field of high-energy heavy-ion collisions is that the dynamical models based on viscous hydrodynamics fail to describe the experimental elliptic flow $v_2$ and the triangular flow $v_3$…

Nuclear Theory · Physics 2023-05-31 Kenshi Kuroki , Azumi Sakai , Koichi Murase , Tetsufumi Hirano

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

Event-by-event hydrodynamic simulations of AA and pA collisions involve initial energy densities with large spatial gradients. This is associated with the presence of large Knudsen numbers ($K_n\approx 1$) at early times, which may lead one…

Nuclear Theory · Physics 2016-11-23 Jacquelyn Noronha-Hostler , Jorge Noronha , Miklos Gyulassy

Fluctuation and correlation observables are often measured using multi-particle correlation methods and therefore mutually probe the origins of genuine correlations present in multi-particle distribution functions. We investigate the common…

Nuclear Theory · Physics 2015-06-11 Sean Gavin , George Moschelli

A very intuitive description of nucleus-nucleus collision phenomena is provided by the relativistic fluid dynamics. We consider a 1+1 dimensional relativistic imperfect fluid flow to approximate the high energy heavy ion collision. The…

Nuclear Theory · Physics 2007-05-23 C Alexa , D Vrinceanu

Correlations between mean transverse momentum $[p_{\rm T}]$ and anisotropic flow coefficients $v_{\rm 2}$ or $v_{\rm 3}$ are measured as a function of centrality in Pb$-$Pb and Xe$-$Xe collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV and 5.44…

Nuclear Experiment · Physics 2022-12-02 ALICE Collaboration

To study the bulk properties of the quark-gluon-plasma (QGP) produced at the beam energy scan (BES) energies at the Relativistic Heavy Ion Collider (RHIC), we extend the (3+1)-dimensional viscous hydrodynamics CLVisc to include net baryon…

High Energy Physics - Phenomenology · Physics 2022-04-13 Xiang-Yu Wu , Guang-You Qin , Long-Gang Pang , Xin-Nian Wang

We compute initial conditions in heavy-ion collisions within the Color Glass Condensate (CGC) framework by combining the impact parameter dependent saturation model (IP-Sat) with the classical Yang-Mills description of initial Glasma…

Nuclear Theory · Physics 2012-06-20 Bjoern Schenke , Prithwish Tribedy , Raju Venugopalan

In the Israel-Stewart's theory of dissipative hydrodynamics, we study the scaling properties elliptic flow in Au+Au collisions. Initial energy density of the fluid was fixed to reproduce STAR data on $\phi$ meson multiplicity in 0-5% Au+Au…

Nuclear Theory · Physics 2010-04-22 A. K. Chaudhuri

Elliptic flow in ultrarelativistic heavy-ion collisions results from the hydrodynamic response to the spatial anisotropy of the initial density profile. A long-standing problem in the interpretation of flow data is that uncertainties in the…

Nuclear Theory · Physics 2015-02-09 Li Yan , Jean-Yves Ollitrault , Arthur M. Poskanzer

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

Elliptic flow in heavy-ion collisions at incident energies $E_{lab}\simeq$ (1--160)A GeV is analyzed within the model of 3-fluid dynamics (3FD). We show that a simple correction factor, taking into account dissipative affects, allows us to…

Nuclear Theory · Physics 2009-12-30 Yu. B. Ivanov , I. N. Mishustin , V. N. Russkikh , L. M. Satarov

We introduce a family of stochastic models motivated by the study of nonequilibrium steady states of fluid equations. These models decompose the deterministic dynamics of interest into fundamental building blocks, i.e., minimal vector…

Probability · Mathematics 2025-05-07 Andrea Agazzi , Jonathan C. Mattingly , Omar Melikechi

In ultra-central heavy-ion collisions, anisotropic hydrodynamic flow is generated by density fluctuations in the initial state rather than by geometric overlap effects. For a given centrality class, the initial fluctuation spectrum is…

Nuclear Theory · Physics 2015-07-15 Chun Shen , Zhi Qiu , Ulrich Heinz

Anisotropic flow of hadrons is studied in heavy ion collisions at SPS and RHIC energies within the microscopic quark-gluon string model. The model was found to reproduce correctly many of the flow features, e.g., the wiggle structure of…

High Energy Physics - Phenomenology · Physics 2015-06-25 E. Zabrodin , L. Bravina , C. Fuchs , A. Faessler