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A variety of models describing the interaction between flows and oscillating structures are discussed. The main aim is to analyze conditions under which structural instability (flutter) induced by a fluid flow can be suppressed or…

Analysis of PDEs · Mathematics 2015-12-24 Igor Chueshov , Earl H. Dowell , Irena Lasiecka , Justin T. Webster

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

We formulate equations for the slow time dynamics of fluid motion that self consistently account for the effects of the variability upon the mean. The time-average effects of the fluctuations introduce nonlinear dispersion that acts to…

chao-dyn · Physics 2009-10-31 Darryl D. Holm

The ATLAS Collaboration has measured for the first time the fourth cumulant of quadrangular flow, $v_4\{4\}^4$. Unlike the fourth cumulants of elliptic and triangular flows, it presents a change of sign above 30\% centrality. We show that…

Nuclear Theory · Physics 2017-02-17 Giuliano Giacalone , Li Yan , Jacquelyn Noronha-Hostler , Jean-Yves Ollitrault

The Lee-Yang zeroes method is applied to study elliptic flow ($v_2$) in Au+Au collisions at $\sqrt{s}=200A$~GeV, with the UrQMD model. In this transport approach, the true event plane is known and both the nonflow effects and event-by-event…

Nuclear Theory · Physics 2009-11-11 Xianglei Zhu , Marcus Bleicher , Horst Stoecker

We calculate the elliptic flow parameter $v_2$ for Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV employing the parton cascade BAMPS (Boltzmann Approach of Multiparton Scatterings). Besides gluon interactions including the bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2010-05-12 Zhe Xu , Carsten Greiner

The elliptic flow ($v_{2}$) at $\sqrt{s_{\rm NN}} = $ 11.5, 39, and 200 GeV and triangular flow ($v_{3}$) at $\sqrt{s_{\rm NN}} = $ 200 GeV of identified particles ($\pi^{\pm}, K^{\pm}, K^{0}_{S}, p, \bar{p}, \phi, \Lambda$ and…

Nuclear Experiment · Physics 2015-09-28 Xu Sun , Jianli Liu , Alexander Schmah , Shusu Shi , Jingbo Zhang , Lei Huo , Hanzhi Jiang

In this work, we examine the effect of shear and bulk viscosities on elliptic flow by taking a realistic parameterization of the shear and bulk viscous coefficients, $\eta$ and $\zeta$, and their respective relaxation times, $\tau_{\pi}$…

Nuclear Theory · Physics 2014-11-20 G. S. Denicol , T. Kodama , T. Koide

We present a study of the elliptic (v2) and triangular (v3) flow and their corresponding eccentricity fluctuations for asymmetric (Au+Ag, Au+Cu and Au+Si) collisions at \sqrt_NN = 200 GeV. These are compared to the corresponding results…

Nuclear Experiment · Physics 2015-06-03 Md. Rihan Haque , Md. Nasim , Bedangadas Mohanty

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 fluctuations of the initial transverse density profile result in a collective flow pattern which also fluctuates event by event. We propose a number of new correlation observables to characterize these fluctuations and…

Nuclear Experiment · Physics 2012-06-18 Rajeev S. Bhalerao , Matthew Luzum , Jean-Yves Ollitrault

While entropy changes are the usual subject of fluctuation theorems, we seek fluctuation relations involving time-symmetric quantities, namely observables that do not change sign if the trajectories are observed backward in time. We find…

Statistical Mechanics · Physics 2015-11-04 Marco Baiesi , Gianmaria Falasco

One of the most striking results is the large elliptic flow ($v_2$) at RHIC. Detailed mass and transverse momentum dependence of elliptic flow are well described by ideal hydrodynamic calculations for $p_{\mathrm{T}} < $ 1 GeV/c, and by…

Nuclear Experiment · Physics 2019-08-13 Hiroshi Masui

Using the isospin dependent quantum molecular dynamics model, we study the effect of charge asymmetry and isospin dependent cross-section on different aspects of elliptical flow. Simulations have been carried out for the reactions of…

Nuclear Theory · Physics 2015-05-30 Anupriya Jain , Suneel Kumar , Rajeev K. Puri

A study of elliptical flow is presented with respect to the asymmetry of colliding nuclei using the reactions of 24Cr50 +44 Ru102, 16S32 +50 Sn120 and 8O16 +54 Xe136 at incident energies between 50 and 250 MeV/nucleon within the framework…

Nuclear Theory · Physics 2011-03-07 Varinderjit Kaur , Suneel Kumar , Rajeev K. Puri

Elliptical energy flow patterns in non-central Au(11.7AGeV) on Au reactions have been studied employing the RQMD model. The strength of these azimuthal asymmetries is calculated comparing the results in two different modes of RQMD (mean…

Nuclear Theory · Physics 2009-10-30 H. Sorge

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

The information of the event-by-event fluctuations is extracted from flow harmonic distributions and cumulants, which can be done experimentally. In this work, we employ the standard method of Gram-Charlier series with the normal kernel to…

Nuclear Theory · Physics 2021-01-04 Hadi Mehrabpour

In relativistic heavy-ion collisions, event-by-event fluctuations are known to have non-trivial implications. Even though the probability distribution is geometrically isotropic for the initial conditions, the anisotropic $\varepsilon_n$…

Nuclear Theory · Physics 2023-04-04 Wei-Liang Qian , Kai Lin , Chong Ye , Jin Li , Yu Pan , Rui-Hong Yue

The effects of bulk viscosity on the elliptic flow $v_{2}$ are studied using realistic equation of state and realistic transport coefficients. We find that thebulk viscosity acts in a non trivial manner on $v_{2}$. At low $p_{T}$, the…

High Energy Physics - Phenomenology · Physics 2009-11-18 G. S. Denicol , T. Kodama , T. Koide , Ph. Mota