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Related papers: Non-linear flow response and reaction plane correl…

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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

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

We use a nonlinear response formalism to describe the event plane correlations measured by the ATLAS collaboration. With one exception ($\left\langle \cos(2\Psi_2 - 6\Psi_3 + 4 \Psi_4) \right\rangle$), the event plane correlations are…

Nuclear Theory · Physics 2014-08-13 Derek Teaney , Li Yan

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

Recently studies of the differential nature of the flow angle fluctuations, known as event plane angular decorrelation, indicated that measurements that assume a common symmetry plane may need to consider the flow angle fluctuations effect.…

Nuclear Theory · Physics 2022-10-26 Niseem Magdy

In the particles produced in a nuclear collision undergo collective flow, the reaction plane can in principle be determined through a global event analysis. We show here that collective flow can be identified by evaluating the reaction…

High Energy Physics - Phenomenology · Physics 2013-11-13 Jean-Yves Ollitrault

Collective anisotropic particle flow, a general phenomenon present in relativistic heavy-ion collisions, can be separated from direct particle-particle correlations of different physics origin by virtue of its specific azimuthal pattern. We…

Nuclear Experiment · Physics 2009-11-10 J. Bielcikova , S. Esumi , K. Filimonov , S. Voloshin , J. P. Wurm

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

A new analytical approach is presented for analysis of two-particle azimuthal correlations in heavy ion collisions at relativistic energies. This approach suggests that elliptic flow measured by experiment has a compound structure, namely,…

Nuclear Theory · Physics 2007-05-23 V. A. Okorokov

We present a complete set of multiparticle correlation observables for ultrarelativistic heavy-ion collisions. These include moments of the distribution of the anisotropic flow in a single harmonic, and also mixed moments, which contain the…

Nuclear Theory · Physics 2015-01-26 Rajeev S. Bhalerao , Jean-Yves Ollitrault , Subrata Pal

The event-plane method, which is widely used to analyze anisotropic flow in nucleus-nucleus collisions, is known to be biased by nonflow effects,especially at high $p_t$. Various methods (cumulants, Lee-Yang zeroes) have been proposed to…

Nuclear Experiment · Physics 2015-03-13 Ante Bilandzic , Naomi van der Kolk , Jean-Yves Ollitrault , Raimond Snellings

Elliptic flow results are presented for Au + Au collisions at $\sqrt{s_{NN}} = 130$ GeV in RHIC. This signal is investigated as a function of transverse momentum, rapidity and centrality. Results from four-particle correlation analysis,…

High Energy Physics - Experiment · Physics 2016-08-31 A. H. Tang , STAR Collaboration

We interpret a class of nonlinear Fokker-Planck equations with reaction as gradient flows over the space of Radon measures equipped with the recently introduced Hellinger-Kantorovich distance. The driving entropy of the gradient flow is not…

Functional Analysis · Mathematics 2019-08-13 Stanislav Kondratyev , Dmitry Vorotnikov

For scalar semilinear wave equations, we analyze the interaction of two (distorted) plane waves at an interface between media of different nonlinear properties. We show that new waves are generated from the nonlinear interactions, which…

Analysis of PDEs · Mathematics 2017-11-15 Maarten de Hoop , Gunther Uhlmann , Yiran Wang

We present a general method based on nonlinear response theory to obtain effective interactions between ions in an electron gas which can also be applied to other systems where an adiabatic separation of time-scales is possible. Nonlinear…

Materials Science · Physics 2007-10-05 Simon Gravel , N. W. Ashcroft

A systematic analysis of correlations between different orders of $p_T$-differential flow is presented, including mode coupling effects in flow vectors, correlations between flow angles (a.k.a. event-plane correlations), and correlations…

Nuclear Theory · Physics 2017-06-07 Jing Qian , Ulrich Heinz , Ronghua He , Lei Huo

The inference of causal relationships among observed variables is a pivotal, longstanding problem in the scientific community. An intuitive method for quantifying these causal links involves examining the response of one variable to…

Statistical Mechanics · Physics 2025-03-27 Gabriele Di Antonio , Gianni Valerio Vinci

We use dynamic equations to derive a relation between correlation functions and response or relaxation functions in many-body systems. The relation is very general and holds both in equilibrium, when the usual fluctuation-dissipation…

Statistical Mechanics · Physics 2024-07-09 T. R. Kirkpatrick , D. Belitz

I review recent measurements of a large set of flow observables associated with event-shape fluctuations and collective expansion in heavy ion collisions. First, these flow observables are classified and experiment methods are introduced.…

Nuclear Experiment · Physics 2015-06-22 Jiangyong Jia

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard
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