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Simple correlation coefficients between two variables have been generalized to measure association between two matrices in many ways. Coefficients such as the RV coefficient, the distance covariance (dCov) coefficient and kernel based…

Methodology · Statistics 2014-08-19 Julie Josse , Susan Holmes

A pair-normalized two-particle covariance versus the rapidity of the two particles, called R$_2$, was originally studied in ISR and FNAL data in the 1970's. This variable has recently seen renewed interest for the study of the dynamics of…

Nuclear Experiment · Physics 2017-11-16 Sedigheh Jowzaee

Long- and short-range correlations for pairs of charged particles are studied via two-particle angular correlations in pp collisions at $\sqrt{s}=13$ TeV and p$-$Pb collisions at $\sqrt{s_\mathrm{NN}} = 5.02$ TeV. The correlation functions…

Nuclear Experiment · Physics 2024-04-15 ALICE Collaboration

Angular correlations between charged trigger and associated particles are measured by the ALICE detector in p-Pb collisions at a nucleon-nucleon centre-of-mass energy of 5.02 TeV for transverse momentum ranges within 0.5 < $p_{\rm T}^{\rm…

Nuclear Experiment · Physics 2016-07-04 ALICE Collaboration

The global variables like the transverse energy at midrapidity, the charged particle multiplicity at midrapidity and the total multiplicity of charged particles are evaluated in the single-freeze-out statistical model for different…

Nuclear Theory · Physics 2008-11-26 Dariusz Prorok

A collision between a proton and a heavy nucleus at ultrarelativistic energy creates particles whose rapidity distribution is asymmetric, with more particles emitted in the direction of the nucleus than in the direction of the proton. This…

Nuclear Theory · Physics 2024-07-23 Rupam Samanta , Jean-Yves Ollitrault

A simple phenomenological relationship between the ridge distribution in $\Delta\eta$ and the single-particle distribution in $\eta$ can be established from the PHOBOS data on both distributions. The implication points to the possibility…

Nuclear Theory · Physics 2012-05-31 Charles B. Chiu , Rudolph C. Hwa

The PHOBOS experiment at RHIC has measured large samples of Au+Au and Cu+Cu collisions using a detector with uniquely large angular acceptance. These data enable studies of particle production over a very wide pseudorapidity interval which…

Nuclear Experiment · Physics 2019-08-14 Krzysztof Wozniak

The measured elliptic flow (v2) of identified particles as a function of pT and centrality at RHIC suggests the created medium in Au+Au collisions achieves early local thermal equilibrium that is followed by hydrodynamic expansion. It is…

Nuclear Experiment · Physics 2009-11-11 Erik Johnson

Recent measurements of two-particle correlations in high-multiplicity p-Pb collisions at $\sqrt{s_{NN}} = 5.02$ TeV revealed a long-range structure (large separation in $\Delta\eta$) at the near- ($\Delta\varphi\simeq0$) and away-side…

Nuclear Experiment · Physics 2019-08-13 M. Weber

Long gamma-ray burst (GRB) prompt emission shows a correlation between the intrinsic peak energy, $E_{\mathrm{p,i}}$, of the time-average $\nu F_{\nu}$ spectrum and the isotropic-equivalent peak gamma-ray luminosity, $L_{{\rm p,iso}}$, as…

High Energy Astrophysical Phenomena · Physics 2025-10-17 Manuele Maistrello , Romain Maccary , Cristiano Guidorzi , Lorenzo Amati

The similarities between string percolation and Glasma results are emphasized, special attention being paid to rapidity long range correlations, ridge structure and elliptic flow. As the string density of high multiplicity pp collisions at…

High Energy Physics - Phenomenology · Physics 2011-06-15 I. Bautista , J. Dias de Deus , C. Pajares

First results on the longitudinal asymmetry and its effect on the pseudorapidity distributions in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV at the Large Hadron Collider are obtained with the ALICE detector. The longitudinal…

Nuclear Experiment · Physics 2019-02-05 ALICE Collaboration

We introduce the Randomized Dependence Coefficient (RDC), a measure of non-linear dependence between random variables of arbitrary dimension based on the Hirschfeld-Gebelein-R\'enyi Maximum Correlation Coefficient. RDC is defined in terms…

Machine Learning · Statistics 2013-06-04 David Lopez-Paz , Philipp Hennig , Bernhard Schölkopf

Length scales are determined that govern the behavior at small separations of the correlations of fluid-particle acceleration, viscous force, and pressure gradient. The length scales and an associated universal constant are quantified on…

Fluid Dynamics · Physics 2009-11-07 Reginald J. Hill

We show that the centrality dependence of the multiplicity is identical in Pb+Pb and Xe+Xe collisions at the LHC, up to a constant factor. This geometric scaling is revealed if one defines centrality according to impact parameter, as…

Nuclear Theory · Physics 2019-01-23 Rudolph Rogly , Giuliano Giacalone , Jean-Yves Ollitrault

In these proceedings, the measurements of the long-range near-side yields of charged hadrons in low-multiplicity proton--proton collisions at \thirteen are presented. The investigation studies pairs of charged particles within $1.4 <…

Nuclear Experiment · Physics 2023-06-09 J. E. Parkkila

Any proposal for an accelerator facility based upon a multipass Energy Recovery Linac (ERL) must possess a self-consistent match in longitudinal phase space, not just transverse phase space. We therefore present a semi-analytic method to…

Accelerator Physics · Physics 2022-03-14 Gustavo Pérez Segurana , Ian R. Bailey , Peter H. Williams

Mechanisms proposed to explain the jet-related correlation of long range in rapidity (the ridge) observed in high-energy heavy-ion collisions are reviewed. Limitations of a model using the combined effect of transverse flow and a direction…

Nuclear Theory · Physics 2014-11-18 T. Peitzmann

Forward-backward correlations of charged-particle multiplicities in symmetric bins in pseudorapidity are studied in order to gain insight into the underlying correlation structure of particle production in Au+Au collisions. The PHOBOS…

Nuclear Experiment · Physics 2008-11-26 B. B. Back , PHOBOS Collaboration