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We propose a method to separate \Delta\eta-dependent and \Delta\eta-independent azimuthal correlations using two- and four-particle cumulants between pseudo-rapidity (\eta) bins in symmetric heavy-ion collisions. The \Delta\eta-independent…

Nuclear Experiment · Physics 2012-10-10 Lingshan Xu , Li Yi , Daniel Kikola , Joshua Konzer , Fuqiang Wang , Wei Xie

The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is presented. Dissipative effects due to the viscous nature of the…

Fluid Dynamics · Physics 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Li Qian

A non-perturbative method based on the Form Factor bootstrap approach is proposed for the analysis of correlation functions of 2-D massless integrable theories and applied to the massless flow between the Tricritical and the Critical Ising…

High Energy Physics - Theory · Physics 2009-12-30 G. Delfino , G. Mussardo , P. Simonetti

Presently flow and nonflow cannot be separated experimentally. Using Pythia simulations of p+p collisions we show that nonflow approximately factorizes. This fact may be used to disentangle flow and nonflow in heavy ion data by performing a…

Nuclear Experiment · Physics 2012-07-18 Daniel Kikola , Li Yi , ShinIchi Esumi , Fuqiang Wang , Wei Xie

A method is proposed to estimate the velocity field of an unsteady flow using a limited number of flow measurements. The method is based on a non-linear low-dimensional model of the flow and on expanding the velocity field in terms of…

Optimization and Control · Mathematics 2009-11-13 Marcelo Buffoni , Simone Camarri , Angelo Iollo , Edoardo Lombardi , Maria-Vittoria Salvetti

Measurements of two-particle azimuthal angle correlations are a useful tool to study the distribution of jet energy loss, however, they are complicated because of the significant anisotropic flow background. We devise a data-driven method…

Nuclear Experiment · Physics 2019-07-24 Liang Zhang , Kun Jiang , Cheng Li , Feng Liu , Fuqiang Wang

We analyze published data from the ALICE Collaboration in order to obtain the first extraction of the recently-proposed rapidity-even directed flow observable v1. An accounting of the correlation due to the conservation of transverse…

Nuclear Theory · Physics 2013-05-01 Ekaterina Retinskaya , Matthew Luzum , Jean-Yves Ollitrault

In the case of vector flow imaging systems, the most employed flow estimation techniques are the directional beamforming based cross correlation and the triangulation-based autocorrelation. However, the directional beamforming-based…

Signal Processing · Electrical Eng. & Systems 2022-06-07 A. N. Madhavanunni , Mahesh Raveendranatha Panicker

Directed and elliptic flow measurements for charged pions and protons are reported as a function of transverse momentum, rapidity, and centrality for 40 and 158A GeV Pb + Pb collisions as recorded by the NA49 detector. Both the standard…

Nuclear Experiment · Physics 2013-05-29 The NA49 Collaboration

Pseudorapidity and azimuthal three-particle correlations are studied based on a correlated-cluster model of multiparticle production. The model provides a common framework for correlations in proton-proton and heavy-ion collisions allowing…

High Energy Physics - Phenomenology · Physics 2017-10-18 Miguel-Angel Sanchis-Lozano , Edward Sarkisyan-Grinbaum

A unified framework for describing the azimuthal dependence of two-particle correlations in heavy-ion collisions is introduced, together with the methods for measuring the corresponding observables. The generalization to azimuthal…

Nuclear Theory · Physics 2007-05-23 Nicolas Borghini

Optical flow is inherently a 2D search problem, and thus the computational complexity grows quadratically with respect to the search window, making large displacements matching infeasible for high-resolution images. In this paper, we take…

Computer Vision and Pattern Recognition · Computer Science 2021-08-31 Haofei Xu , Jiaolong Yang , Jianfei Cai , Juyong Zhang , Xin Tong

One of the oldest flow visualization techniques is through multiple pathlines generated by the movement of seeding particles spatially distributed in the flow. In the computerized era, particle images are used in quantitative measurements,…

Fluid Dynamics · Physics 2026-01-13 Yukun Sun , Elijah James , Frank Fang , Jasper Agrawal , Christopher Dougherty , Cong Wang , Chris Roh

Anisotropic azimuthal correlations are used to probe the properties and the evolution of the system created in heavy-ion collisions. Two-particle azimuthal correlations were used in the searches of $p_{\rm T}$ dependent fluctuations of flow…

Nuclear Experiment · Physics 2015-03-26 You Zhou

We discuss how the different estimates of elliptic flow are influenced by flow fluctuations and nonflow effects. It is explained why the event-plane method yields estimates between the two-particle correlation methods and the multiparticle…

Nuclear Experiment · Physics 2009-11-18 Jean-Yves Ollitrault , Arthur M. Poskanzer , Sergei A. Voloshin

Correlations of two or more particles have been an essential tool for understanding the hydrodynamic behavior of the quark-gluon plasma created in ultra-relativistic nuclear collisions. In this paper, we extend that framework to introduce a…

Nuclear Theory · Physics 2024-02-07 Abraham Holtermann , Jacquelyn Noronha-Hostler , Anne M. Sickles , Xiaoning Wang

A data-driven method was applied to measurements of Au+Au collisions at $\sqrt{s_{_{\rm NN}}} =$ 200 GeV made with the STAR detector at RHIC to isolate pseudorapidity distance $\Delta\eta$-dependent and $\Delta\eta$-independent correlations…

Nuclear Experiment · Physics 2017-10-03 N. M. Abdelwahab , L. Adamczyk , J. K. Adkins , G. Agakishiev , M. M. Aggarwal , Z. Ahammed , I. Alekseev , J. Alford , C. D. Anson , A. Aparin , D. Arkhipkin , E. C. Aschenauer , G. S. Averichev , A. Banerjee , D. R. Beavis , R. Bellwied , A. Bhasin , A. K. Bhati , P. Bhattarai , J. Bielcik , J. Bielcikova , L. C. Bland , I. G. Bordyuzhin , W. Borowski , J. Bouchet , A. V. Brandin , S. G. Brovko , S. Bültmann , I. Bunzarov , T. P. Burton , J. Butterworth , H. Caines , M. Calderóndela Barca Sánchez , J. M. Campbell , D. Cebra , R. Cendejas , M. C. Cervantes , P. Chaloupka , Z. Chang , S. Chattopadhyay , H. F. Chen , J. H. Chen , L. Chen , J. Cheng , M. Cherney , A. Chikanian , W. Christie , J. Chwastowski , M. J. M. Codrington , G. Contin , J. G. Cramer , H. J. Crawford , X. Cui , S. Das , A. Davila Leyva , L. C. De Silva , R. R. Debbe , T. G. Dedovich , J. Deng , A. A. Derevschikov , R. Derradi de Souza , B. di Ruzza , L. Didenko , C. Dilks , F. Ding , P. Djawotho , X. Dong , J. L. Drachenberg , J. E. Draper , C. M. Du , L. E. Dunkelberger , J. C. Dunlop , L. G. Efimov , J. Engelage , K. S. Engle , G. Eppley , L. Eun , O. Evdokimov , O. Eyser , R. Fatemi , S. Fazio , J. Fedorisin , P. Filip , Y. Fisyak , C. E. Flores , C. A. Gagliardi , D. R. Gangadharan , D. Garand , F. Geurts , A. Gibson , M. Girard , S. Gliske , L. Greiner , D. Grosnick , D. S. Gunarathne , Y. Guo , A. Gupta , S. Gupta , W. Guryn , B. Haag , A. Hamed , L-X. Han , R. Haque , J. W. Harris , S. Heppelmann , A. Hirsch , G. W. Hoffmann , D. J. Hofman , S. Horvat , B. Huang , H. Z. Huang , X. Huang , P. Huck , T. J. Humanic , G. Igo , W. W. Jacobs , H. Jang , E. G. Judd , S. Kabana , D. Kalinkin , K. Kang , K. Kauder , H. W. Ke , D. Keane , A. Kechechyan , A. Kesich , Z. H. Khan , D. P. Kikola , I. Kisel , A. Kisiel , D. D. Koetke , T. Kollegger , J. Konzer , I. Koralt , L. K. Kosarzewski , L. Kotchenda , A. F. Kraishan , P. Kravtsov , K. Krueger , I. Kulakov , L. Kumar , R. A. Kycia , M. A. C. Lamont , J. M. Landgraf , K. D. Landry , J. Lauret , A. Lebedev , R. Lednicky , J. H. Lee , C. Li , W. Li , X. Li , X. Li , Y. Li , Z. M. Li , M. A. Lisa , F. Liu , T. Ljubicic , W. J. Llope , M. Lomnitz , R. S. Longacre , X. Luo , G. L. Ma , Y. G. Ma , D. P. Mahapatra , R. Majka , S. Margetis , C. Markert , H. Masui , H. S. Matis , D. McDonald , T. S. McShane , N. G. Minaev , S. Mioduszewski , B. Mohanty , M. M. Mondal , D. A. Morozov , M. K. Mustafa , B. K. Nandi , Md. Nasim , T. K. Nayak , J. M. Nelson , G. Nigmatkulov , L. V. Nogach , S. Y. Noh , J. Novak , S. B. Nurushev , G. Odyniec , A. Ogawa , K. Oh , A. Ohlson , V. Okorokov , E. W. Oldag , D. L. Olvitt , B. S. Page , Y. X. Pan , Y. Pandit , Y. Panebratsev , T. Pawlak , B. Pawlik , H. Pei , C. Perkins , P. Pile , M. Planinic , J. Pluta , N. Poljak , K. Poniatowska , J. Porter , A. M. Poskanzer , N. K. Pruthi , M. Przybycien , J. Putschke , H. Qiu , A. Quintero , S. Ramachandran , R. Raniwala , S. Raniwala , R. L. Ray , C. K. Riley , H. G. Ritter , J. B. Roberts , O. V. Rogachevskiy , J. L. Romero , J. F. Ross , A. Roy , L. Ruan , J. Rusnak , O. Rusnakova , N. R. Sahoo , P. K. Sahu , I. Sakrejda , S. Salur , A. Sandacz , J. Sandweiss , E. Sangaline , A. Sarkar , J. Schambach , R. P. Scharenberg , A. M. Schmah , W. B. Schmidke , N. Schmitz , J. Seger , P. Seyboth , N. Shah , E. Shahaliev , P. V. Shanmuganathan , M. Shao , B. Sharma , W. Q. Shen , S. S. Shi , Q. Y. Shou , E. P. Sichtermann , M. Simko , M. J. Skoby , D. Smirnov , N. Smirnov , D. Solanki , P. Sorensen , H. M. Spinka , B. Srivastava , T. D. S. Stanislaus , J. R. Stevens , R. Stock , M. Strikhanov , B. Stringfellow , M. Sumbera , X. Sun , X. M. Sun , Y. Sun , Z. Sun , B. Surrow , D. N. Svirida , T. J. M. Symons , M. A. Szelezniak , J. Takahashi , A. H. Tang , Z. Tang , T. Tarnowsky , J. H. Thomas , A. R. Timmins , D. Tlusty , M. Tokarev , S. Trentalange , R. E. Tribble , P. Tribedy , B. A. Trzeciak , O. D. Tsai , J. Turnau , T. Ullrich , D. G. Underwood , G. Van Buren , G. van Nieuwenhuizen , M. Vandenbroucke , J. A. Vanfossen, , R. Varma , G. M. S. Vasconcelos , A. N. Vasiliev , R. Vertesi , F. Videbæk , Y. P. Viyogi , S. Vokal , A. Vossen , M. Wada , F. Wang , G. Wang , H. Wang , J. S. Wang , X. L. Wang , Y. Wang , Y. Wang , G. Webb , J. C. Webb , G. D. Westfall , H. Wieman , S. W. Wissink , Y. F. Wu , Z. Xiao , W. Xie , K. Xin , H. Xu , J. Xu , N. Xu , Q. H. Xu , Y. Xu , Z. Xu , W. Yan , C. Yang , Y. Yang , Y. Yang , Z. Ye , P. Yepes , L. Yi , K. Yip , I-K. Yoo , N. Yu , H. Zbroszczyk , W. Zha , J. B. Zhang , J. L. Zhang , S. Zhang , X. P. Zhang , Y. Zhang , Z. P. Zhang , F. Zhao , J. Zhao , C. Zhong , X. Zhu , Y. H. Zhu , Y. Zoulkarneeva , M. Zyzak

Radial flow can be directly extracted from the azimuthal distribution of mean transverse rapidity. We apply the event-plane method and the two-particle correlation method to estimate the anisotropic Fourier coefficient of the azimuthal…

Nuclear Theory · Physics 2021-07-13 Peng Yang , Lin Li , Yu Zhou , Zhiming Li , Mingmei Xu , Yeyin Zhao , Yuanfang Wu

We derive analytical forms for non-flow contributions from cluster correlation to two-particle elliptic flow (v2{2}) measure. We also derive an analytical form for jet-correlation flow-background with the same cluster approach. We argue…

Nuclear Experiment · Physics 2014-11-20 Fuqiang Wang , Quan Wang

Applicability of anisotropic flow measurement techniques and their extension for detectors with non-uniform azimuthal acceptance are discussed. Considering anisotropic flow measurement with two and three (mixed harmonic) azimuthal…

Nuclear Theory · Physics 2008-11-26 Ilya Selyuzhenkov , Sergei Voloshin