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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

Event-by-event fluctuations in the elliptic-flow coefficient $v_2$ are studied in PbPb collisions at $\sqrt{s_{_\text{NN}}} =$ 5.02 TeV using the CMS detector at the CERN LHC. Elliptic-flow probability distributions ${p}(v_2)$ for charged…

Nuclear Experiment · Physics 2019-01-23 CMS Collaboration

The sensitivity of flow harmonics from cumulants on the event-by-event flow distribution $p(v_n)$ is investigated using a simple central moment expansion approach. For narrow distribution whose width is much smaller than the mean…

Nuclear Experiment · Physics 2015-08-26 Jiangyong Jia , Sooraj Krishnann

The event-by-event distributions of harmonic flow coefficients v_n for n=2-4 are measured in Pb-Pb collisions at sqrt(s_nn)=2.76 TeV with the ATLAS detector, using charged particles with p_T > 0.5 GeV and |\eta|<2.5. The shape of the v_n…

Nuclear Experiment · Physics 2019-08-13 Jiangyong Jia

The distribution of flow harmonics in heavy ion experiment can be characterized by standardized cumulants. We first model the ellipticity and power parameters of the elliptic-power distribution by employing MC-Glauber model. Then we use the…

Nuclear Theory · Physics 2019-03-08 Navid Abbasi , Davood Allahbakhshi , Ali Davody , Seyed Farid Taghavi

The cumulants of the distribution of anisotropic flow are measured accurately in Pb+Pb collisions at the LHC as a function of centrality classifiers (charged multiplicity and/or transverse energy). Using Bayesian inference, we reconstruct…

Nuclear Theory · Physics 2025-07-01 Enak Roubertie , Mathis Verdan , Andreas Kirchner , Jean-Yves Ollitrault

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 standard picture of structure formation, initially random-phase fluctuations are amplified by non-linear gravitational instability to produce a final distribution of mass which is highly non-Gaussian and has highly coupled Fourier…

Astrophysics · Physics 2009-10-31 Peter Coles , Lung-Yih Chiang

We study the flow harmonic distribution in deformed nuclei. To do this, we use the standard Gram-Charlier method to find the higher-order correction to the well-known Bessel-Gaussian distribution. We find that, apart from the necessity of…

Nuclear Theory · Physics 2023-01-20 Hadi Mehrabpour , S. M. A. Tabatabaee

An interesting opportunity to determine thermodynamic and transport properties in more detail is to identify generic statistical properties of initial density perturbations. Here we study event-by-event fluctuations in terms of correlation…

High Energy Physics - Phenomenology · Physics 2014-08-29 Stefan Floerchinger , Urs Achim Wiedemann

We present measurements of elliptic and triangular azimuthal anisotropy of charged particles detected at forward rapidity $1<|\eta|<3$ in Au$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV, as a function of centrality. The multiparticle…

Nuclear Experiment · Physics 2019-08-13 A. Adare , C. Aidala , N. N. Ajitanand , Y. Akiba , M. Alfred , N. Apadula , H. Asano , B. Azmoun , V. Babintsev , A. Bagoly , M. Bai , N. S. Bandara , B. Bannier , K. N. Barish , S. Bathe , A. Bazilevsky , M. Beaumier , S. Beckman , R. Belmont , A. Berdnikov , Y. Berdnikov , D. S. Blau , M. Boer , J. S. Bok , K. Boyle , M. L. Brooks , J. Bryslawskyj , V. Bumazhnov , S. Campbell , V. Canoa Roman , C. -H. Chen , C. Y. Chi , M. Chiu , I. J. Choi , J. B. Choi , T. Chujo , Z. Citron , M. Connors , M. Csanád , T. Csörgő , T. W. Danley , A. Datta , M. S. Daugherity , G. David , K. DeBlasio , K. Dehmelt , A. Denisov , A. Deshpande , E. J. Desmond , A. Dion , P. B. Diss , J. H. Do , A. Drees , K. A. Drees , J. M. Durham , A. Durum , A. Enokizono , S. Esumi , B. Fadem , W. Fan , N. Feege , D. E. Fields , M. Finger , M. Finger, , S. L. Fokin , J. E. Frantz , A. Franz , A. D. Frawley , C. Gal , P. Gallus , P. Garg , H. Ge , F. Giordano , A. Glenn , Y. Goto , N. Grau , S. V. Greene , M. Grosse Perdekamp , T. Gunji , T. Hachiya , J. S. Haggerty , K. I. Hahn , H. Hamagaki , H. F. Hamilton , S. Y. Han , J. Hanks , S. Hasegawa , T. O. S. Haseler , K. Hashimoto , X. He , T. K. Hemmick , J. C. Hill , K. Hill , A. Hodges , R. S. Hollis , K. Homma , B. Hong , T. Hoshino , N. Hotvedt , J. Huang , S. Huang , K. Imai , M. Inaba , A. Iordanova , D. Isenhower , D. Ivanishchev , B. V. Jacak , M. Jezghani , Z. Ji , J. Jia , X. Jiang , B. M. Johnson , D. Jouan , D. S. Jumper , S. Kanda , J. H. Kang , D. Kawall , A. V. Kazantsev , J. A. Key , V. Khachatryan , A. Khanzadeev , C. Kim , D. J. Kim , E. -J. Kim , G. W. Kim , M. Kim , B. Kimelman , D. Kincses , E. Kistenev , R. Kitamura , J. Klatsky , D. Kleinjan , P. Kline , T. Koblesky , B. Komkov , D. Kotov , K. Kurita , M. Kurosawa , Y. Kwon , R. Lacey , J. G. Lajoie , A. Lebedev , S. Lee , S. H. Lee , M. J. Leitch , Y. H. Leung , N. A. Lewis , X. Li , X. Li , S. H. Lim , M. X. Liu , S. Lökös , D. Lynch , T. Majoros , Y. I. Makdisi , M. Makek , A. Manion , V. I. Manko , E. Mannel , M. McCumber , P. L. McGaughey , D. McGlinchey , C. McKinney , A. Meles , M. Mendoza , A. C. Mignerey , D. E. Mihalik , A. Milov , D. K. Mishra , J. T. Mitchell , G. Mitsuka , S. Miyasaka , S. Mizuno , A. K. Mohanty , P. Montuenga , T. Moon , D. P. Morrison , S. I. Morrow , T. V. Moukhanova , T. Murakami , J. Murata , A. Mwai , K. Nagashima , J. L. Nagle , M. I. Nagy , I. Nakagawa , H. Nakagomi , K. Nakano , C. Nattrass , P. K. Netrakanti , T. Niida , S. Nishimura , R. Nouicer , T. Novák , N. Novitzky , A. S. Nyanin , E. O'Brien , C. A. Ogilvie , J. D. Orjuela Koop , J. D. Osborn , A. Oskarsson , K. Ozawa , R. Pak , V. Pantuev , V. Papavassiliou , J. S. Park , S. Park , S. F. Pate , M. Patel , J. -C. Peng , W. Peng , D. V. Perepelitsa , G. D. N. Perera , D. Yu. Peressounko , C. E. PerezLara , J. Perry , R. Petti , C. Pinkenburg , R. Pinson , R. P. Pisani , M. L. Purschke , P. V. Radzevich , J. Rak , B. J. Ramson , I. Ravinovich , K. F. Read , D. Reynolds , V. Riabov , Y. Riabov , D. Richford , T. Rinn , S. D. Rolnick , M. Rosati , Z. Rowan , J. G. Rubin , J. Runchey , B. Sahlmueller , N. Saito , T. Sakaguchi , H. Sako , V. Samsonov , M. Sarsour , S. Sato , B. Schaefer , B. K. Schmoll , K. Sedgwick , R. Seidl , A. Sen , R. Seto , P. Sett , A. Sexton , D. Sharma , I. Shein , T. -A. Shibata , K. Shigaki , M. Shimomura , P. Shukla , A. Sickles , C. L. Silva , D. Silvermyr , B. K. Singh , C. P. Singh , V. Singh , M. J. Skoby , M. Slunečka , M. Snowball , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , I. V. Sourikova , P. W. Stankus , M. Stepanov , S. P. Stoll , T. Sugitate , A. Sukhanov , T. Sumita , J. Sun , Z Sun , Z. Sun , J. Sziklai , A. Taketani , K. Tanida , M. J. Tannenbaum , S. Tarafdar , A. Taranenko , R. Tieulent , A. Timilsina , T. Todoroki , M. Tomášek , C. L. Towell , R. Towell , R. S. Towell , I. Tserruya , Y. Ueda , B. Ujvari , H. W. van Hecke , J. Velkovska , M. Virius , V. Vrba , X. R. Wang , Y. Watanabe , Y. S. Watanabe , F. Wei , A. S. White , C. P. Wong , C. L. Woody , M. Wysocki , B. Xia , C. Xu , Q. Xu , L. Xue , S. Yalcin , Y. L. Yamaguchi , A. Yanovich , J. H. Yoo , I. Yoon , H. Yu , I. E. Yushmanov , W. A. Zajc , A. Zelenski , S. Zharko , S. Zhou , L. Zou

In this work, we have shown the two-particle correlations of charged hadrons in d-Au collisions at 200 GeV in PYTHIA8/Angantyr simulations. These correlations were studied at different multiplicities and pseudorapidity intervals. The…

High Energy Physics - Phenomenology · Physics 2026-04-15 Satya Ranjan Nayak , Akash Das , B. K. Singh

The cumulant method is applied to study elliptic flow ($v_2$) in Au+Au collisions at $\sqrt{s}=200$AGeV, with the UrQMD model. In this approach, the true event plane is known and both the non-flow effects and event-by-event spatial…

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

We study the normal approximation of functionals of Poisson measures having the form of a finite sum of multiple integrals. When the integrands are nonnegative, our results yield necessary and sufficient conditions for central limit…

Probability · Mathematics 2012-06-26 Raphael Lachieze-Rey , Giovanni Peccati

Elliptic flow, $v_2$, and triangular flow, $v_3$, are to a good approximation linearly proportional to the corresponding spatial anisotropies of the initial density profile, $\varepsilon_2$ and $\varepsilon_3$. Using event-by-event…

Nuclear Theory · Physics 2017-05-25 Giuliano Giacalone , Jacquelyn Noronha-Hostler , Jean-Yves Ollitrault

The distributions of event-by-event harmonic flow coefficients v_n for n=2-4 are measured in sqrt(s_NN)=2.76 TeV Pb+Pb collisions using the ATLAS detector at the LHC. The measurements are performed using charged particles with transverse…

High Energy Physics - Experiment · Physics 2013-12-30 ATLAS Collaboration

Flow coefficients $v_n$ for $n$ = 2, 3, 4, characterizing the anisotropic collective flow in Au+Au collisions at $\sqrt{s_{NN}} = 200$ GeV, are presented. They indicate the expected growth of viscous damping for sound propagation in the…

Nuclear Experiment · Physics 2015-05-30 Roy Lacey

We study the fluctuations of the anisotropy of the energy density profile created in a high-energy collision at the LHC. We show that the anisotropy in harmonic $n$ has generic non-Gaussian fluctuations. We argue that these…

Nuclear Theory · Physics 2016-09-22 Hanna Grönqvist , Jean-Paul Blaizot , Jean-Yves Ollitrault

The results from the STAR Collaboration on directed flow (v_1), elliptic flow (v_2), and the fourth harmonic (v_4) in the anisotropic azimuthal distribution of particles from Au+Au collisions at sqrtsNN = 200 GeV are summarized and compared…

Nuclear Experiment · Physics 2012-08-27 STAR Collaboration

Sampling a probability distribution with an unknown normalization constant is a fundamental problem in computational science and engineering. This task may be cast as an optimization problem over all probability measures, and an initial…

Machine Learning · Statistics 2024-09-12 Yifan Chen , Daniel Zhengyu Huang , Jiaoyang Huang , Sebastian Reich , Andrew M. Stuart
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