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We report on a considerable improvement in the technique of measuring multiparticle correlations via integrals over correlation functions. A modification of measures used in the characterization of chaotic dynamical sytems permits fast and…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. C. Eggers , P. Lipa , P. Carruthers , B. Buschbeck

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

In this paper we discuss the relation of particle number cumulants and correlation functions. It is argued that measuring couplings of the genuine multi-particle correlation functions could provide cleaner information on possible…

Nuclear Theory · Physics 2017-05-17 Adam Bzdak , Volker Koch , Nils Strodthoff

The dependence of multi-proton correlation functions and cumulants on the acceptance in rapidity and transverse momentum is studied. We find that the preliminary data of various cumulant ratios are consistent, within errors, with rapidity…

Nuclear Theory · Physics 2017-11-22 Adam Bzdak , Volker Koch

We discuss various measures of net charge (conserved quantities) fluctuations proposed for the identification of critical phenomena in heavy ion collisions. We show the dynamical component of fluctuations of the net charge can be expressed…

Nuclear Experiment · Physics 2009-11-07 C. Pruneau , S. Gavin , S. Voloshin

Correlation functions measured as a function of $\Delta \eta, \Delta \phi$ have emerged as a powerful tool to study the dynamics of particle production in nuclear collisions at high energy. They are however subject, like any other…

Nuclear Experiment · Physics 2014-02-26 Shantam Ravan , Prabhat Pujahari , Sidharth Prasad , Claude A. Pruneau

The cumulants of thermal variables are of general interest in physics due to their extensivity and their correspondence with susceptibilities. They become especially significant near critical points of phase transitions where they diverge…

Nuclear Theory · Physics 2015-09-07 Evan Sangaline

We investigate in detail the behavior of the bipartite fluctuations of particle number $\hat{N}$ and spin $\hat{S}^z$ in many-body quantum systems, focusing on systems where such U(1) charges are both conserved and fluctuate within…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 H. Francis Song , Stephan Rachel , Christian Flindt , Israel Klich , Nicolas Laflorencie , Karyn Le Hur

Identical particle correlations at fixed multiplicity are consideres in the presence of chaotic and coherent fields. The multiplicity distribution, one-particle momentum density, and two-particle correlation function are obtained based on…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. Suzuki , M. Biyajima

As flow estimators, multi-particle correlators, particularly the higher-order ones, are generally regarded as effective tools for suppressing non-flow contributions. In this work, however, using two well-known toy models that simulate…

Nuclear Theory · Physics 2026-04-30 Chong Ye , Wei-Liang Qian , Yue Cui , Dan Wen , Yutao Xing , Rui-Hong Yue , Takeshi Kodama

Two-particle correlations are a widely used tool for studying relativistic nuclear collisions. Multiplicity fluctuations comparing charge and particle species have been studied as a possible signal for Quark-Gluon Plasma (QGP) and the QCD…

Nuclear Theory · Physics 2023-01-09 Mary Cody , Sean Gavin , Brendan Koch , Mark Kocherovsky , Zoulfekar Mazloum , George Moschelli

A systematic study of the relations between fluctuations of the extensive multiparticle variables and integrals of the inclusive multipaticle densities is analysed. The generalized factorial moments are introduced and their physical meaning…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Bialas

The use of charge balance functions in heavy-ion collision studies was initially proposed as a probe of delayed hadronization and two-stage quark production in these collisions. It later emerged that general balance functions can also serve…

High Energy Physics - Phenomenology · Physics 2022-09-22 Claude Pruneau , Victor Gonzales , Brian Hanley , Ana Marin , Sumit Basu

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 recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

We modify the usual definitions of cumulants of net-charge fluctuations in a way that isolates dynamical fluctuations. The new observables, which we call dynamical cumulants, are robust with respect to trivial correlations induced by volume…

Nuclear Theory · Physics 2019-03-11 Rudolph Rogly , Giuliano Giacalone , Jean-Yves Ollitrault

We discuss properties and applications of factorial cumulants of various particle numbers and for their mixed channels measured by the event-by-event analysis in relativistic heavy-ion collisions. After defining the factorial cumulants for…

Nuclear Theory · Physics 2017-08-30 Masakiyo Kitazawa , Xiaofeng Luo

Using a generating-function formalism, we compute the contribution of momentum conservation to multiparticle correlations between the emitted particles in high-energy collisions. In particular, we derive a compact expression of the genuine…

High Energy Physics - Phenomenology · Physics 2011-09-13 Nicolas Borghini

First, we present a concise glossary of formulas for composition of standard, cumulant, factorial, and factorial cumulant moments in superposition (compound) models, where final particles are created via independent emission from a…

Nuclear Theory · Physics 2017-06-28 Wojciech Broniowski , Adam Olszewski

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
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