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Related papers: The fluctuations of quadrangular flow

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Using event-by-event hydrodynamic calculations, we find that the fluctuations of the elliptic flow ($v_2$) in the reaction plane have a negative skew. We compare the skewness of $v_2$ fluctuations to that of initial eccentricity…

Nuclear Theory · Physics 2017-01-31 Giuliano Giacalone , Li Yan , Jacquelyn Noronha-Hostler , Jean-Yves Ollitrault

ATLAS measurements of the azimuthal anisotropy in lead-lead collisions at $\sqrt{s_{NN}}=2.76$ TeV are shown using a dataset of approximately 7 $\mu$b$^{-1}$ collected at the LHC in 2010. The measurements are performed for charged particles…

High Energy Physics - Experiment · Physics 2014-12-23 ATLAS Collaboration

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 2009-08-18 Jean-Yves Ollitrault , Arthur M. Poskanzer , Sergei A. Voloshin

In ultrarelativistic heavy-ion collisions, the Fourier decomposition of the relative azimuthal angle, \Delta \phi, distribution of particle pairs yields a large cos(3\Delta \phi) component, extending out to large rapidity separations \Delta…

Nuclear Theory · Physics 2010-10-06 Burak Han Alver , Clement Gombeaud , Matthew Luzum , Jean-Yves Ollitrault

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 first measurements of elliptic flow of $\pi^\pm$, ${\rm K}^\pm$, p+$\overline{\rm p}$, ${\rm K_{S}^0}$, $\Lambda$+$\overline{\Lambda}$, $\phi$, $\Xi^-$+$\Xi^+$, and $\Omega^-$+$\Omega^+$ using multiparticle cumulants in Pb$-$Pb…

Nuclear Experiment · Physics 2023-06-16 ALICE Collaboration

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

In heavy ion collisions, event-by-event fluctuations in participating nucleon positions can lead to triangular flow. With fluctuating initial conditions, flow coefficients will also fluctuate. In a hydrodynamic model, we study the…

Nuclear Theory · Physics 2015-05-30 A. K. Chaudhuri

Anisotropic flow coefficients and their fluctuations are investigated for Au+Au collisions at center of mass energy $\sqrt{s_{NN}}$ = 200 GeV by using a multi-phase transport model with string melting scenario. Experimental results of…

Nuclear Theory · Physics 2015-06-19 L. Ma , G. L. Ma , Y. G. Ma

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…

The Fourier analysis of the final particle distribution followed by cumulant study of the Fourier coefficient event-by-event fluctuation is one of the main approaches for testing the collective evolution in the heavy-ion collision. Using a…

Nuclear Theory · Physics 2021-07-15 Seyed Farid Taghavi

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

Linear fluctuating hydrodynamics is a useful and versatile tool for describing fluids, as well as other systems with conserved fields, on a mesoscopic scale. In one spatial dimension, however, transport is anomalous, which requires to…

Statistical Mechanics · Physics 2016-01-05 Herbert Spohn

We investigate the nonlinear response of flow harmonics $v_2,v_4$ to initial-state eccentricities $\epsilon_2,\epsilon_4$ within the Gubser-flow framework. By extending the perturbative solutions of Gubser flow, we derive analytic nonlinear…

Nuclear Theory · Physics 2026-04-14 Xiang Ren , Jin-Yu Hu , Hao-jie Xu , Shi Pu

The ALICE and CMS Collaborations have analyzed a number of cumulants mixing elliptic flow ($v_2$) and triangular flow ($v_3$), involving up to $8$ particles, in Pb+Pb collisions at the LHC. We unravel an unexpected simplicity in these…

Nuclear Theory · Physics 2026-05-26 Mubarak Alqahtani , Jean-Yves Ollitrault

We discuss eccentricities (ellipticity and triangularity) generated in nucleus-nucleus and proton-nucleus collisions. We define multi-particle eccentricities $\epsilon_n\{m\}$ which are associated with the $n'th$ angular multipole moment…

High Energy Physics - Phenomenology · Physics 2015-06-18 Adam Bzdak , Piotr Bozek , Larry McLerran

We show that experimental data on cumulants of anisotropic flow in heavy-ion collisions probe the non-Gaussian statistics of the energy density field created right after the collision. We carry out a perturbative expansion of the initial…

Nuclear Theory · Physics 2019-08-07 Rajeev S. Bhalerao , Giuliano Giacalone , Jean-Yves Ollitrault

We propose a redefinition of the principal component analysis (PCA) of anisotropic flow that makes it more directly connected to fluctuations of the initial geometry of the system. Then, using state-of-the-art hydrodynamic simulations, we…

We suggest to perform systematic measurements of the elliptic flow fluctuations which are sensitive to the early stage dynamics of heavy-ion collisions at high-energies. Significant flow fluctuations are shown to be generated due to the…

Nuclear Theory · Physics 2007-05-23 Stanislaw Mrowczynski , Edward Shuryak