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In this note we discuss subtleties associated with the efficiency corrections for measurements of off-diagonal cumulants and factorial moments for a situation when one deals with overlapping sets of particles, such as correlations between…

Nuclear Theory · Physics 2021-03-18 Volodymyr Vovchenko , Volker Koch

It is shown that the Principal Component Analysis applied to azimuthal single-particle distributions allows to perform flow analysis in ways that are analogous to the traditional approaches based on multi-particle correlations. In…

Nuclear Theory · Physics 2020-08-28 Igor Altsybeev

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

Event-by-event fluctuations in the amplitudes of flow harmonics offer a novel approach to probing the initial-state characteristics in heavy-ion collisions. In this study, we conduct a systematic investigation of correlations among various…

Nuclear Theory · Physics 2026-03-03 Zaining Wang , Jinhui Chen , Jiangyong Jia , Yu-Gang Ma , Chunjian Zhang

We introduce a fast spatial point pattern analysis technique which is suitable for systems of many identical particles giving rise to multi-particle correlations up to arbitrary order. The obtained correlation parameters allow to quantify…

Soft Condensed Matter · Physics 2021-04-29 Rüdiger Kürsten , Sven Stroteich , Martín Zumaya Hérnandez , Thomas Ihle

We propose a novel method for sorting events of multiparticle production according to the azimuthal anisotropy of their momentum distribution. Although the method is quite general, we advocate its use in analysis of ultra-relativistic…

Nuclear Theory · Physics 2016-05-25 Renata Kopecna , Boris Tomasik

Correlators between event planes of different harmonics in relativistic heavy-ion collisions have the potential to provide crucial information on the initial state of the matter formed in these collisions. We present a new procedure for…

Nuclear Theory · Physics 2013-08-28 Rajeev S. Bhalerao , Jean-Yves Ollitrault , Subrata Pal

Multi-particle azimuthal cumulants, often used to study collective flow in high-energy heavy-ion collisions, have recently been applied in small collision systems such as $pp$ and $p$+A to extract the second-order azimuthal harmonic flow…

Nuclear Theory · Physics 2017-10-04 Jiangyong Jia , Mingliang Zhou , Adam Trzupek

We propose a novel centrality definition-independent method for analyzing higher-order cumulants, specifically addressing the challenge of volume fluctuations that dominate in low-energy heavy-ion collisions. This method reconstructs…

Data Analysis, Statistics and Probability · Physics 2025-11-11 Zhaohui Wang , Xiaofeng Luo

Jet-like three-particle azimuthal correlations can discriminate various physical scenarios that have been proposed to explain the observed strong modification to two-particle azimuthal correlations. The three-particle correlation analysis…

Nuclear Experiment · Physics 2008-11-26 Jason G. Ulery , Fuqiang Wang

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

Higher-order cumulants of conserved charge distributions are sensitive observables to probe the critical fluctuations near QCD critical point in heavy-ion collisions. Due to high interaction rate, pileup event can be one of the major…

Data Analysis, Statistics and Probability · Physics 2022-01-11 Yu Zhang , Yige Huang , Toshihiro Nonaka , Xiaofeng Luo

High-throughput computational screening of polymers offers a powerful way to address the imbalance between the vast number of polymers synthesised for diverse applications and the relatively small subset that can be studied using atomistic…

Materials Science · Physics 2026-03-12 Lois Smith , Samuel Ericson , Vittoria Fantauzzo , Chin Yong , Paola Carbone , Alessandro Troisi

A series of new flow observables mixed harmonic multi-particle cumulants (MHC), which allow for the first time to quantify the correlations strength between different order of flow coefficients with various moments, was investigated using…

Nuclear Theory · Physics 2021-08-11 Ming Li , You Zhou , Wenbin Zhao , Baochi Fu , Yawen Mou , Huichao Song

We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few…

Soft Condensed Matter · Physics 2015-04-27 Alastair G. Mailer , Paul S. Clegg , Peter N. Pusey

Commonalities and differences in correlation analysis in terms of phase space, conditioning and uncorrelatedness are discussed. The Poisson process is not generally appropriate as reference distribution for normalisation and cumulants, so…

High Energy Physics - Experiment · Physics 2007-05-23 H. C. Eggers

It is shown that Principal Component Analysis (PCA) applied to event-by-event single-particle distributions in A-A collisions allows establishing the most optimal basis for anisotropic flow studies from data itself, in contrast to manual…

Nuclear Theory · Physics 2020-12-01 Igor Altsybeev

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

I present a general scheme through which the evidence of a superposition involving distinct classical-like states of a macroscopic system can be probed. The scheme relies on a qubit being coupled to a macroscopic harmonic oscillator in such…

Quantum Physics · Physics 2007-05-23 Sougato Bose

The azimuthal correlations between local flow planes at different (pseudo)rapidities ($\eta$) may reveal important details of the initial nuclear matter density distributions in heavy-ion collisions. Extensive experimental measurements of a…

Nuclear Experiment · Physics 2022-02-09 Zhiwan Xu , Xiatong Wu , Caleb Sword , Gang Wang , Sergei A. Voloshin , Huan Zhong Huang